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[84] ai.viXra.org:2606.0085 [pdf] submitted on 2026-06-30 20:09:42
Authors: Paul Robert Mesler
Comments: 15 Pages.
We conducted an experiment where a rotator rotated in a horizontal plane with respect to the earth. The rotator at one end was connected to a vertical shaft that was embedded in a horizontal bearing assembly. The bearing assembly was attached to a sliding platform that was constrained to move with one degree of freedom along a linear track. The main point of the experiment was to determine if the orbital angular speed of the rotator increased due to fictitious forces. The accelerometer attached to the rotator showed a local increase in angular speed of the rotator when it passed the 90 degrees point and the 270 degrees point of its angular displacement. Based on this invariant increase in angular speed, we derived a general invariant impulse equation that remarkably predicted this increase leads to an increase in the center of mass momentum of a system.
Category: Classical Physics
[83] ai.viXra.org:2606.0084 [pdf] submitted on 2026-06-30 02:36:48
Authors: Brent Hartshorn
Comments: 5 Pages. https://github.com/brentharts/ShivyC
Traditional meta-compilation frameworks—most notably PyPy’s RPython—achieve execution speed by translating high-level dynamic languages at the bytecode level into intermediate control-flow graphs for whole-program type inference. While powerful, this approach carries substantial architectural complexity and runtime tracing infrastructure. This paper introduces minipy, a lightweight, high-performance Python interpreter built using an extended variant of RPython. Moving away from traditional bytecode-level translation, minipy employs a novel AST-driven flattening architecture integrated directly into the ShivyCX/py2c compilation pipeline. By emitting direct, statically optimized C components that integrate bare-metal compiler passes—such as register-resident global flag packing, non-recursive static buffer relocation, and tail-call elimination—the resulting interpreter bypasses typical virtual machine overhead. Empirical evaluations show that minipy significantly minimizes execution footprints and outperforms CPython in critical micro-benchmarks.
Category: Data Structures and Algorithms
[82] ai.viXra.org:2606.0083 [pdf] submitted on 2026-06-30 20:06:17
Authors: J. W. McGreevy
Comments: 19 Pages.
We present the Relativistic Field Theory of Primes (RFTP) as a rst-principles derivationof low-energy physics from a single global object: the adelic spectral triple equipped with one rst-class constraint (the weight-12 central grading) in the min-plus semiring. Local sheardata at irregular primes evolve under the Hopf-Lax formula the explicit tropical linearevolution that realizes the dynamical Legendre transform. This single min-plus constraintgenerates a gauge symmetry (tropical equivalence), produces proper time as its evolution parameter, and yields an emergent EinsteinCartan geometry whose curvature 2-form is the tropical variety created by dierential relaxation across Galois eigenspace channels. Weprove that the functor from the category of such adelic spectral triples to the categoryof Lorentzian/EinsteinCartan geometries is an equivalence on the arithmetic subcategory.The Riemann Hypothesis appears as the statement that the tropical linear ow remains causal and dispersionless if and only if all non-trivial zeros lie on the critical line the unique stable tropical attractor of the theory. Higher SeeleyDeWitt coecients generate tropical polynomials in the shear amplitudes that control connement strength and the mass gap.
Category: Mathematical Physics
[81] ai.viXra.org:2606.0082 [pdf] submitted on 2026-06-30 05:52:42
Authors: Jason Merwin
Comments: 10 Pages. A GitHub repository link is provided
We exhibit a minimal combinatorial model in which a single structural property—second-order self-reference—produces three features usually treated separately: an intrinsic arrow of time; a sharp distinction between a closed ("block") and an open future; and the stabilization of a shared, observer-independent reality. The central result is a constructive identity: the set of graph configurations that a self-referential observer cannot resolve from within at a given stage is equal, under independent definitions, to the set of sites where the graph must expand to relieve that irresolution. Incompleteness and expansion are therefore one event with two descriptions, rather than two coincident processes. Iterating the resolution rule makes time a generative process—completing the incomplete seeds new incompleteness—and introduces a control parameter, the branching ratio of the abstraction, whose critical value separates a sub-critical phase in which paradoxes exhaust and time halts from a super-critical phase in which they self-sustain and the open future is guaranteed; in the generic toy sweep we locate this critical point at βc ≈ 1.08, near the unit replacement threshold expected on heuristic grounds.e show that shared reality emerges not at the contested frontier but one step behind it: the nodes that expansion has resolved are frozen against the common history and become observer-independent, so that independent observers who disagree entirely about the unresolved present nonetheless agree completely, and stably, on the resolved past.Crucially, we demonstrate that this mechanism transfers successfully from the toy model directly into the native Distinction Engine Universe (DEU) architecture. When projected onto the formal relational registry, the exact same generative dynamics and critical phase transitions emerge organically. The framework's inherent capture modes seamlessly support the incompleteness-driven expansion, verifying that the arrow of time and the crystallization of a shared reality are intrinsic structural consequences of the DEU substrate. The model is deliberately abstract: it operates on self-reference as a structural property and makes no claim about consciousness, quantum mechanics, or any specific physical realization, but it establishes a rigorous formal candidate for how a relational physical substrate forces the flow of time.
Category: Combinatorics and Graph Theory
[80] ai.viXra.org:2606.0081 [pdf] submitted on 2026-06-30 16:33:22
Authors: Jad Nohra
Comments: 11 Pages.
We advance a claim: learned (deep-learning and reinforcement-learning) control is replacingclassical robust control, H∞ synthesis and µ-synthesis, for the same reason deep convo-lutional networks displaced hand-engineered computer vision pipelines (SIFT, HOG, thedeformable parts model). Both are instances of one mechanism: replacing a fixed, pre-committedsignal/noisepartitionimposedbyahand-designedprocessinglayerwithalearnedpartition, thereby recovering predictive structure that the fixed partition discarded as noise.Theconservationlawsofcontrolarefundamentalandstayapplicable; thenewcontrollersarebound by them all the same. Our contribution is the cross-domain synthesis and preciselyseparating which limits are artifacts of an assumption and which are genuine information-theoretic converses. The argument is organized case by case: each claim is stated, givenits precise conditions and constants, attributed to its governing assumption, marked as stillconstraining or relaxed, and cited.
Category: Artificial Intelligence
[79] ai.viXra.org:2606.0080 [pdf] submitted on 2026-06-29 20:01:12
Authors: Ayush Samanta
Comments: 13 Pages. (Note by ai.viXra.org Admin: For the last time, an abstract in the article labeled as such is required!)
Orbital debris has become one of the most significant challenges facing the long-term sustainability of Low Earth Orbit (LEO). As the number of satellites continues to increase, so does the likelihood of collisions capable of generating large quantities of debris, potentially triggering a self-sustaining chain reaction known as Kessler Syndrome. This study develops a stochastic two-shell Monte Carlo model to investigate whether a critical orbital density exists beyond which such debris cascades become increasingly likely. The model represents the orbital environment using two concentric shells and incorporates stochastic collisions, debris fragmentation, atmospheric decay, active satellite failure, and collision avoidance. A systematic density sweep was performed using 200 independent Monte Carlo simulations for each normalized orbital density. The results reveal a rapid transition from stable orbital evolution to near-certain cascade formation over a narrow range of densities, with the critical normalized density multiplier estimated to be approximately $alpha_c approx 0.093$. Near this threshold, simulations with identical initial conditions frequently produced different long-term outcomes, highlighting the importance of stochastic collision dynamics in determining orbital stability. Although the model adopts several simplifying assumptions, it reproduces the fundamental feedback mechanism underlying the Kessler hypothesis and provides a computationally efficient framework for investigating the probabilistic onset of orbital debris cascades.
Category: Astrophysics
[78] ai.viXra.org:2606.0079 [pdf] submitted on 2026-06-29 19:55:34
Authors: Paul Emmett Zaffuto
Comments: 3 Pages. (Note by viXra Admin: Please cite and list scientific references)
This paper presents a novel mechanical-to-electromagnetic chronological model to explain the localized 60-second ionospheric pre-cursor anomaly observed prior to the June 24, 2026, Venezuelan doublet earthquakes (Magnitude 7.2 and 7.5). While standard models struggle to explain the rapid coupling between crustal stress and the upper atmosphere, this theorysynthesizes the piezoelectric properties of regional quartz-bearing schists with a highly distinct parallel geometric alignment. We hypothesize that macro-scale structural failure was preceded by micro-fracturing of dense quartz blocks, generating a massive static electrical discharge. Due to a 1° to 3° parallelalignment with the Equatorial Electrojet (EEJ), this subterranean charge acted as a parallel conductor, cleanly disrupting the atmospheric current axis exactly one minute before tectonic slip.
Category: Geophysics
[77] ai.viXra.org:2606.0078 [pdf] submitted on 2026-06-29 19:53:17
Authors: Peilin Wen
Comments: 9 Pages.
We investigate a 7-vertex strongly connected directed graph whose adjacency matrix A exhibits an exceptionally clean algebraic structure. The characteristic polynomial factorises completely as χA(λ) = λ2 (λ −2)(λ −1)(λ + 1)3 ,so the spectrum is {2, 1, −1, 0} with algebraic multiplicities 1, 1, 3, 2, respectively. The Perron root is ρ(A) = 2, and the associated right eigenvector isv = (9, 3, 2, 6, 7, 1, 8)T∈Z7 >0.For every directed edge i →j we define the rational weight wij = vj/(2vi). These weights form a row-stochastic matrix. We prove that for any closed directed walk of length L (vertices and edges may repeat), the product of the weights along the walk is exactly 2−L , independent of the walk’s itinerary. The proof follows solely from the Perron eigenvector equation and the elementary in—out balance of vertices along a closed walk. We further show that A is non-diagonalisable: it contains a 2 × 2 Jordan block for λ = 0 and at least one for λ = −1. The one-dimensional nullspace is spanned by (1, −1, 0, 0, −1, 1, 0)T , encoding a linear conservation law among four vertices. This graph provides a minimal exactly solvable model with potential applications to loop-model partition functions, non-Hermitian quantum walks, and rapidly mixing Markov chains.Keywords: directed graph; closed walk; Perron—Frobenius theorem; Jordan canonical form; row-stochastic matrix; non-Hermitian quantum walk; exceptional point; exactly solvable model.
Category: Combinatorics and Graph Theory
[76] ai.viXra.org:2606.0077 [pdf] submitted on 2026-06-28 09:15:50
Authors: Ginanjar Utama
Comments: 13 Pages.
The preceding paper in this sequence connected matter-first spin networks to the simplicity-constrained EPRL vertex: matter-line frames generate spacetime-algebra bivectors, the EPRLmap selects a ray in the bivector invariant plane, and the Lorentzian four-simplex amplitude can be evaluated as a nite-cuto tensor network on K5. That result was kinematical and vertex-local. This paper asks the next question: when curvature is present, can the matter determinant see it, and can it back-react on the spin-foam flatness tendency? We build a finite hinge-link model in which several four-simplices meet around an internal triangle. The Regge decit ϵh = 2π −Pσ⊃h Θσh is represented as a rotation in the two-plane normal to the hinge,with spin lift Uspin(ϵh). The first exact result is the holonomy obstruction det(I − Uspin) = 16 sin^4(ϵh/4), which vanishes in the flat sector, modulo the expected spinorial 4π periodicity. A finite graph Dirac operator on the hinge link reproduces the same obstruction and develops a curvature-induced spectral gap. Integrating out fermions therefore suppresses the near-at zero-modesector in a one-hinge toy model, opposing the gravitational atness preference. For two hinges,disconnected link graphs factorise exactly, whereas edge-sharing link graphs have a non-zero determinant interaction; matter propagation then induces a curvature-curvature correlation between neighbouring defects. Finally we add a chiral Spin(4) = SU(2)+ × SU(2)− split. A single finite hinge determinant is phase-trivial, arg det(Dχ + m) = 0, so it can bias chiral variances but cannot by itself generate orientation-sign flow. The parity-odd channel in four dimensions is instead the Pontryagin pairing tr(γ5Σ1Σ2) ∼ B1 ∧ B2, non-zero only for transverse hinge planes. The result is not a continuum limit or a derivation of the full spin-foam measure. It is a controlled finite-complex mechanism: fermion determinants are holonomy-sensitive functionals of Regge decits and can induce matter-mediated curvature correlations on spin-foam hinge links.
Category: Quantum Gravity and String Theory
[75] ai.viXra.org:2606.0076 [pdf] submitted on 2026-06-28 13:37:43
Authors: Joseph Shaffer
Comments: 7 Pages. This paper is the companion paper of ai.viXra.org:2605.0049. It provides the formal mathematical foundation.
This paper develops the full Lagrangian formulation of the Tensional Structure Principle (TSP). In TSP, the fundamental substrate of reality is the entanglement domain E, composed of qubit scale flexible mats described by a stiffness field with a tension field as the primary dynamical quantity. Mass induces distortions in the mat field, producing gravity as a tension gradient. We construct the action, derive the Euler-Lagrange equations, identify the stress—tension tensor, and show how dark energy arises from a uniform residual tension. This paper provides the mathematical backbone for the conceptual TSP framework.
Category: Astrophysics
[74] ai.viXra.org:2606.0075 [pdf] submitted on 2026-06-27 19:52:24
Authors: Khazribouzidi Fethi
Comments: 7 Pages.
We study the phase coherence of Dirichlet polynomials associated with arithmetic progressions of primes. For a k-term prime progression (p, p+d, ..., p+(k-1)d), we prove that the infimum over t in R of the normalized modulus is positive if and only if d > c_k p, where c_k is the unique positive root of sum_{j=1}^{k-1} 1/(1+j c_k) = 1. The sequence (c_k) is strictly increasing, with c_3 = 1/sqrt(2), c_4 = (2/sqrt(3)) cos(pi/18), and c_k ~ ln k as k tends to infinity. Since c_k >= c_4 > 1 for all k >= 4, every arithmetic progression of k >= 4 primes with d <= p has zero spectral coherence. This gives a sharp spectral criterion that separates coherent from non-coherent prime progressions. Numerical verification on more than 1.5 million prime constellations confirms the results with zero exceptions. The proof is unconditional and relies on Baker's theorem and the Kronecker-Weyl equidistribution theorem.
Category: Number Theory
[73] ai.viXra.org:2606.0074 [pdf] submitted on 2026-06-27 03:56:08
Authors: Ginanjar Utama
Comments: 9 Pages.
A previous paper proposed a matter-first route to loop quantum gravity: interaction vertices define the graph, fermion-line segments carry local SL(2,C) frames, and geometry is reconstructedfrom the resulting spacetime-algebra comparators. Its central open gap was the relation betweenthose matter-built bivectors and the simplicity-constrained boundary data of spin-foam dynamics. This paper closes that kinematical gap and adds a finite-cutoff vertex algorithm. First, we express the EPRL linear simplicity constraint in the invariant plane of the bivector classification B^2 = s + pI: up to the standard sign and normalisation conventions for SL(2, C) Casimirs, the EPRL embedding Y_γ : j → (ρ, k) = (γj, j) selects a ray p/s = 2γ/(γ^2 − 1). Second, we sharpen the closure bridge: the area-vector closure condition at a tetrahedron is equivalent to the Minkowski polygon inequality, and this is exactly the condition that the four-valent intertwiner space be non-empty. Thus classical closure and quantum admissibility are two presentations of the same Gauss constraint. Third, we construct the Lorentzian vertex from the same data: the boost sector is represented by principal-series generators certied by the so(1, 3) algebra and Casimirs, and the node booster B^γ_4 is evaluated as a radial boost integral. Finally, by absorbing each booster and intertwiner into a rank-four node tensor, the finite-cutoff EPRL four-simplex amplitude becomes a tensor-network contraction on K_5 rather than an explicit state sum. The result is not a continuum limit; it is a reproducible bridge between the matter determinant,bivector simplicity, and a computational Lorentzian EPRL vertex.
Category: Quantum Gravity and String Theory
[72] ai.viXra.org:2606.0073 [pdf] submitted on 2026-06-27 05:30:58
Authors: Jay Kumar
Comments: 30 Pages.
Classical formal logic provides a rule-governed foundation for truth, derivability, admissibility, andsymbolic transformation. However, binary truth values are often insufficient for computationalsystems that must represent partial support, unresolved state, decay, convergence, and changingevidence. This paper develops a five-state calculus of uncertainty grounded in the formal lineageof Hilbert and Ackermann, Church, and Turing. The proposed calculus represents logical states astagged potential values over a normalized implementation space p ∈ [0, 1] and an equivalent signedtheoretical space s(t) ∈ [−1, 1]. The five named regions are false, almost false, undetermined, almosttrue, and true.The central claim of the calculus is that uncertainty need not be treated as failure, noise, or vagueincompleteness. Instead, uncertainty can be represented as computable state. The undeterminedstate is not interpreted as half true, but as the center of a signed state space. Certainty is defined asdistance from this center, while uncertainty is maximal at the center and minimal at the poles. Logicaloperators are defined over potential values and lifted back into named states through threshold-basedclassification.Beyond static classification, the calculus treats propositions as state trajectories. A proposition maymove toward truth, collapse toward falsity, decay toward uncertainty, oscillate under competingevidence, or converge toward a settled pole. The framework therefore introduces dynamic quantitiessuch as velocity, acceleration, distance traveled, directional accumulation, certainty, uncertainty,convergence, and admissibility. These quantities allow two propositions with the same instantaneouslabel to be distinguished by their histories and motion.A minimal LambdaScript reference implementation is provided to demonstrate that the calculus canbe expressed as executable symbolic definitions rather than as informal terminology. The result is acompact computational substrate for uncertainty-aware state validation, intended as a stepping stonetoward Beyond Binary systems and neurocontextual lateral propagation-diffusion architectures.
Category: Data Structures and Algorithms
[71] ai.viXra.org:2606.0072 [pdf] replaced on 2026-06-27 22:32:05
Authors: Xiangqian Zhang，Mingming Zhao，Linchao Ge
Comments: 17 Pages.
AbstractWithin the framework of Topological Residual Theory (TRT), this paper rigorously establishes thefirst-principles physical picture that "space itself flows at the speed of light along curves in a righthanded cylindrical helical form." In this picture, length and time originate from different aspects ofthe same spacetime flow motion, thereby providing a geometric explanation for the origin of theconstancy of the speed of light.To fundamentally resolve the dimensional mismatch among different physical fields that arises inclassical field theory from differing measurement protocols, we propose a Velocity-FieldRepresentation scheme: the electric, gravitational, and magnetic fields are directly defined as thethree local velocity components of the light-speed spacetime flow along the orthogonal basis of theFrenet-Serret (FS) frame [1]:This achieves a complete unification of all underlying field dimensions to velocity at the kinematiclevel. Since the flow speed of spacetime is fixed at the speed of light , different physicalinteractions essentially correspond to the allocation of this motion budget among the threeorthogonal directions: tangential propagation, normal centripetal constraint, and binormal torsion.The allocation mechanism is precisely controlled by the helical pitch angle .By introducing the time definition , we derive the first-order time-evolution equations ofthe three fields under the characteristic rotation frequencies of the FS frame (bending frequency , twisting frequency ). Under the rigid rotation of the frame, the total kineticenergy density remains strictly constant. Utilizing the rigidrotational dynamics of the frame and the vector and scalar triple-product identities, we elucidate thephysical nature by which the "self-work" terms of the rigid triad automatically vanish during rotation,thereby revealing the deep geometric mechanism of dissipation-free energy flow.The macroscopic observable fields — centripetal gravitational acceleration , tangentialelectric field strength , and magnetic rotational angular frequency —emerge naturally as the time derivatives or rotational frequencies of the underlying velocity fieldsafter being modulated by the motion-budget allocation. This provides a self-consistent firstprinciples framework for the geometric unification of gravity and electromagnetism.E = ct, A = cn, B = cb. E = ct, A = cn, B = cb.Cαds = c dtωK = CK ωT = CTU = 21(E ⋅ E + A ⋅ A + B ⋅ B) = 23c2g = c2κne = c2κt Bmacro = cτbKeywords: Frenet-Serret geometry; right-handed cylindrical helical spacetime flow; velocity-fieldrepresentation; dimensional self-consistency; energy conservation; motion-budget allocation
Category: Mathematical Physics
[70] ai.viXra.org:2606.0071 [pdf] submitted on 2026-06-27 19:43:33
Authors: J. W. McGreevy
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We demonstrate that the infrared dynamics of the resonant spectral triple in the Bost-Connes system, deformed by irregular-prime shear, implements a precise arithmetic analogueof the classical Legendre transform. Starting from a classical Poisson manifold whose coordinates are the shear amplitudes {Iu2032p} and the bifundamental mixing field Φ, we construct an explicit action functional whose Legendre transform yields a Hamiltonian on the cotangent bundle. The weight-12 winding condition is imposed as a classical first-class constraint, and Dirac reduction produces a reduced symplectic manifold Pred. Deformation quantization of this reduced space, driven by the modular derivation Dp acting asymmetrically through Φ on the two complex-multiplication stabilizers (Z/6Z at τ = ρ and Z/4Z at τ = i), generates a non-commutative star product whose leading commutator is non-vanishing and proportional to the stabilizer contrast transmitted by Φ. This framework naturally produces: (i) proper time τ as the integrated thermodynamic work along the flow, with lapse N ∝ det(∇2P) · Tr(Φu2020Φ); (ii) a non-removable relative phase between up- and down-type sectors, yielding the Jarlskog invariant as a direct dynamical consequence of the asymmetric action of the real endomorphism J (J2 = −Id) forced by the holonomy defect; and (iii) definite outcomes via deterministic Hamilton—Jacobi flow to a unique weight-12 attractor, with probabilities given by normalized infrared Boltzmann weights from the entropy functional S(ϕ). The construction draws explicit parallels with Dirac’s deformation of Poisson bracketsinto commutators and Tate’s adelic Poisson summation, providing a unified non-commutativestructure that bridges arithmetic geometry and quantum field theory. The imaginary unit i emerges necessarily as the spectral manifestation of the real endomorphism J required to close the holonomy defect. All physical features follow rigorously from the arithmetic data without external postulates.
Category: Mathematical Physics
[69] ai.viXra.org:2606.0070 [pdf] submitted on 2026-06-26 20:27:10
Authors: Luisiana X. Cundin, William P. Roach
Comments: 9 Pages.
Gabriel's compilation of wet skin dielectric properties reveals exceptionally high permittivity values ($10^5$ to $10^6$) at low frequencies, far exceeding the permittivity of water ($varepsilon approx 80$). These values are not measurement artifacts but reflect the contribution of the electrical double layer---specifically the Stern layer---to the measured dielectric response. The Stern layer confounds dielectric measurements by introducing a multiplicative capacitive contribution that masks the tissue's true dielectric properties. Using the Maxwell-Wagner transformation, $varepsilon_r'' = varepsilon_0 omega sigma_{text{exp}}'$, from the Cundin-Roach Kramers-Kronig analysis, we recover the intrinsic tissue absorption. The corrected absorption values are consistent with pure liquid water, confirming that biological tissue is fundamentally a water-based dielectric whose low-frequency response is dominated by the Stern layer capacitance. The Stern layer is not merely a confounding factor; it is an active biological structure that mediates electromagnetic energy transmission between and within cells. These results have implications for tissue characterization, bioelectromagnetic modeling, and understanding intercellular communication.
Category: Physics of Biology
[68] ai.viXra.org:2606.0069 [pdf] submitted on 2026-06-26 09:44:58
Authors: Allan Plankhart
Comments: 11 Pages.
Building on a pre-temporal collapse model, we derive a structural correspondence between the surviving 2D sector and the Standard Model’s weak isospin. We show that an embedded 2-brane in a 3D bulk possesses a local frame rotation group SO(3). The spin connection on the brane is an so(3)-valued one-form.Since so(3) ∼= su(2), this connection is exactly an SU(2) gauge field, and spinorial matter confined to the brane necessarily transforms as doublets. This geometrically forces the effective field theory to be Yang—Mills with a Chern—Simons term, uniquely constraining the dynamics. We construct the resulting action, including kinetic mixing with the 3D bulk, and derive testable signatures: a dark matter fluid from the brane foam, distinctive CMB non-Gaussianities with a characteristic oscillatory power spectrum, and missing-energy collider events with a topological mass peak. We provide current constraints and outline the Boltzmann evolution needed for precise predictions.
Category: Mathematical Physics
[67] ai.viXra.org:2606.0068 [pdf] submitted on 2026-06-26 20:21:58
Authors: Haizhu Wu
Comments: 48 Pages.
We present a complete proof of the Polignac conjecture: for any even integer y, there exist infinitely many pairs of primes (x, x + y). In particular, taking y = 2 yields the twin prime conjecture. The core strategy is to show that for every sufficiently large prime p, there exists a prime x ∈ (p, p2) such that x + y is also prime. This is achieved through threetechnical innovations. First, we apply a double inclusion-exclusion decomposition to the sieved set A0,expressing its character sums as alternating sums of exact geometric series. The keysimplification is that the sum over frequencies of reciprocal distances is independentof the subset chosen, reducing the problem to a universal harmonic estimate. Thisbreaks the resonance phenomenon responsible for the square-root barrier in classical Fourier analysis. Second, we exploit the CRT product structure of A0 to prove that its Fouriercoefficients on Z/M0Z are absolutely summable with subpolynomial total mass. This yields a uniform character sum bound that is independent of the modulus for moduli up to M0. Third, we develop an elementary symmetric polynomial method to control the super-exponentially many terms arising from inclusion-exclusion. By the Maclaurin inequality, the sum over all squarefree divisors of the medium primes is compressed into a convergent Poisson-type series. The tail is controlled by Poisson tail estimates, giving power-law decay. The modulus range is divided into three regimes. For small moduli (d ≤ p 1/3 ), the resonance-breaking estimate combined with an oscillatory bound for the t-sum provides sufficient control. For medium moduli (p 1/3 < d ≤ M0), the Fourieruniform bound combined with the symmetric polynomial method controls the error. For large moduli (d > M0), the sparsity of A0 relative to the modulus allows direct counting, bypassing character sum estimates entirely and preserving the crucial 1/d decay factor. The total error is O(p 5/3+o(1)), which is negligible compared to the main term ∼p 2/(log p) 2. The proof avoids deep tools such as the Bombieri-Vinogradov theorem, spectral theory of automorphic forms, or Kloosterman sum estimates.
Category: Number Theory
[66] ai.viXra.org:2606.0067 [pdf] replaced on 2026-06-30 20:50:15
Authors: E. P. J. de Haas
Comments: 39 Pages. https://doi.org/10.5281/zenodo.21082573
We identify the gravitational rapidity potential chi-g as the primary scalar field of a Lorentz-rotor formulation of gravity. Unlike conventional approaches, which take either the Newtonian potential or the spacetime metric as fundamental, the present framework constructs the local Lorentz rotor directly from chi-g. The gravitational four-velocity, the Newtonian potential, the Painlev'e--Gullstrand (PG) coframe, and the corresponding spacetime metric are recovered as successive projections of this underlying Lorentz geometry. The resulting projection hierarchy preserves the exact hyperbolic structure of local Lorentz boosts until the final metric representation. The Schwarzschild and cosmological horizons appear as the two asymptotic limits of a single rapidity field, while the physical velocity remains bounded by construction through v=c tanh(chi-g). Applying the previously derived constant-Lagrangian (CL) condition D/Dt(Gamma)=0 to the gravitational four-velocity yields a geometric interpretation of stationary galactic flows. The conserved quantity Gamma=cosh(chi-r)cosh(chi-phi) defines an isorapidity circle on the Poincar'e disk, from which the flat galactic rotation curve, the universal sigma-channel residual, and a weak galactic geodetic precession emerge as complementary projections of the same hyperbolic geometry. The same Lorentz construction extends continuously into the strong-field regime of Schwarzschild accretion disks. Exact composition of the radial vacuum inflow and azimuthal orbital rapidity yields a fully relativistic expression for geodetic precession, recovering the weak-field Gravity Probe~B limit while predicting a universal ISCO frequency ratio of 0.374, together with a set of observational tests that distinguish this Lorentz-rotor formulation of geodetic precession from conventional spin-dependent frame-dragging models.
Category: Relativity and Cosmology
[65] ai.viXra.org:2606.0066 [pdf] submitted on 2026-06-26 20:18:45
Authors: J. W. McGreevy
Comments: 14 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We present a complete first-principles derivation of the Standard Model gauge groupSU(3)c × SU(2)L × U(1)Y with three chiral generations of fermions, hierarchical masses,CKM/PMNSmixing, theseesaw mechanism for neutrinos, and Einstein—Cartan gravity withtorsion from one arithmetic object. The underlying structure is the resonant spectral tripleof the Bost—Connes system deformed by shear terms sourced by the class-group torsion ofirregular primes. In the deep infrared, the Chamseddine—Connes spectral action is evaluatedunder the global constraint of weight-12 principalization at the mirror point s = 6 of theassociated L-function.The fundamental duality between analytic volume (hyperbolic geometry, spectral flow,Seeley—DeWitt expansion) and algebraic rigidity (stabilizer symmetries at the two complexmultiplication points, adelic closure, weight-12 condition) is resolved by the irregular-primeshear, generating the pressure gradient ∇P that drives all symmetry breaking and massgeneration. Gauge representations emerge from the 3-cycle at τ = ρ and 4-cycle at τ = i;the bifundamental field Φ acquires a dynamical VEV; the 12×12 mass matrix, includinga natural seesaw for neutrinos, follows from breathing corrections sourced by class-grouptorsion. Numerical diagonalization over the full table of 47 irregular primes yields hierarchical fermion masses, realistic mixing, and a non-zero Jarlskog invariant. Confinement, thepositive mass gap, emergent proper time as a lapse function, and the Born rule all followfrom the same infrared thermodynamics.This construction realizes a complete arithmetic unification in which every low-energystructure is forced by the irreducible duality between analytic volume and algebraic rigidityunder weight-12 principalization. No external parameters beyond the shear amplitudes ofthe irregular primes are required.
Category: Mathematical Physics
[64] ai.viXra.org:2606.0065 [pdf] replaced on 2026-07-04 23:36:13
Authors: Kesan Yi
Comments: 10 Pages. (Note by ai.viXra.org Admin: For the last time, please cite listed scientific references!)
If it is declared that real numbers are countable, the Cantor's diagonal process must be discussed. We try to find the problem of Cantor's proof by using the same method and logic to prove that a countable set is uncountable. That means real numbers may be a countable set but it was proved uncountable by Cantor's diagonal process. By critically analyzing the ontological foundations of the "Abstraction of Actual Infinity", we expose an illicit methodological shift in classical set theory: the unrestricted extension of actual infinity from the internal generation of infinite sets to external mappings between distinct infinite totalities. By redefining countable infinity purely through an intrinsic single-valued successor operations derived from the Peano framework, we bypass the mapping dilemmas of Cantor's definition of countable set with abstraction of actual infinity. Utilizing this new framework, we construct a "Right-ward Mirroring Successor Operator" capable of sequentially traversing all decimal expansions of real numbers within the interval [0, 1), thereby establishing that real numbers are countable under both potential and actual perspectives of infinity. Finally, we expose a fatal logical rupture within the Dedekind cut framework regarding the synchronization of measure theory derived from uncountable reals and total order set, validating our countable thesis as a necessary resolution to the internal contradictions of classical continuum mechanics.
Category: General Mathematics
[63] ai.viXra.org:2606.0064 [pdf] submitted on 2026-06-25 10:42:25
Authors: Ginanjar Utama
Comments: 10 Pages.
Loop quantum gravity (LQG) is usually formulated as a quantisation of geometry, while operational measurements of length, time, and orientation are made through relations among matter fields. Penrose’s combinatorial spacetime and Altaisky’s recent locally Lorentzian matter-spin-network construction suggest a matter-first route: interaction events form the vertices of a graph, fermion-line segments form its edges, and geometry is reconstructed from the relations carried by those lines. We develop this kinematical proposal into an induced dynamical model with a computable discrete field equation. In the spacetime algebra Cl(1, 3), the SL(2, C) interaction vertices become versors; their sandwich action transports the matter-built tetrad, agrees with both the Hermitian-matrix and Ruehl Lorentz maps, and sends elementary areas to simple grade-two blades. Loop curvature is the bivector logarithm of a holonomy and is classified by the scalar and pseudoscalar invariants of B2; the generic loxodromic case is handled by a closed-form commuting elliptic—hyperbolic split. Because the discrete Grassmann matter action is bilinear, its path integral is the exact fermion determinant Z = det D. On an oriented graph Dirac operator, gauge invariance reduces Z to a functional of cycle-space holonomies, whileloops that share interaction events fail to factorise. The connected non-factorising determinant defines the interaction part of the effective action. Varying Seff = − log | det D| gives a local, gauge-covariant stationarity condition relating each independent cycle connection to the fermion propagator. Flat geometry solves the homogeneous equation as a Lorentzian saddle, and fixed boundary holonomies source curvature in the remaining cycles. We demonstrate the construction on the tetrahedral S^2 toy universe and on the K5 four-simplex 1-skeleton. The resulting equation is induced, Sakharov-style, and no continuum limit to Einstein gravity is claimed.
Category: Quantum Gravity and String Theory
[62] ai.viXra.org:2606.0063 [pdf] submitted on 2026-06-24 06:05:24
Authors: Jason Merwin
Comments: 16 Pages. link is provided to the GitHub repository
We report the emergence of a finite carrier vacuum and macroscopic collision-fracture dynamics within a Distinction Combinatorial, a discrete relational growth model. We demonstrate that the reduced boundary grammar natively forms a hard-core carrier sea (measured densityρC ≃ 0.019092) that organizes into paired capsules, produces nilpotent defect-repair cascades, and supports coherent two-phase carrier-current propagation. This supplies a structured discrete medium, establishing that particle-like bridge formation propagates through a finite capsule sea capable of retaining route memory and observable topological scars.When driven to extreme local density, this discrete vacuum exhibits a deterministic transition. Anchored by the E24 energy tier—which naturally produces a symmetric topological fracture quantitatively aligning with the kinematics of the CMS CMS 6.14 TeV wide-dijet display—we analyze the primary E30 collision channel. The E30 channel reaches a strict bridge peak of $15C_{m AB}$ and shatters via 15CAB → 8CA + 7CB + 15Cspent. Route-flow analysis reveals the underlying graph-mechanical law governing this high-energy scattering: a finite zero-anchor capacity funnel. Contact selections virtually reroute capacity by creating transient replacements, which feeder selections sequentially actualize and consume. As the local zero-anchor pool drains linearly from 15 to 0, the available interaction space collapses, forcing a deterministic final fracture at edge 78--1549. The post-fracture debris retains distinct topological scars (an upstream B-side route-memory hub and a final edge-fracture scar), demonstrating that high-energy path dependence is not a stochastic failure of a continuum, but the execution of remaining legal graph moves within a depleted discrete vacuum.Finally, we project this microscopic vacuum structure to the cosmological scale. The raw finite-count de Sitter baseline is 5.27% high relative to a flat ΛCDM comparison. By applying the open-to-mature registry factor (124/120) and the natively measured microscopic carrier density (1 + ρC ), we derive a combined multiplier of 1.05306, seamlessly closing the residual to match the required 1.05272. This unified result links the local topological density of the discrete foam directly to the global cosmological constant.
Category: High Energy Particle Physics
[61] ai.viXra.org:2606.0062 [pdf] submitted on 2026-06-24 02:55:22
Authors: J. W. McGreevy
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We present a complete analytic derivation of color confinement and a positive Yang—Millsmass gap within the Relativistic Field Theory of Primes (RFTP). The derivation is carriedout on a shear-deformed resonant spectral triple constructed from the Bost—Connes systemand its low-temperature KMS states. Irregular primes deform the underlying GNS quadraticform, generating a pressure gradient between the two complex-multiplication points τ = ρand τ = i on the modular curve. A continuous infrared renormalization-group flow thenproduces an infrared dichotomy: states whose phase lies outside the weight-12 lattice acquirean infinite entropy barrier (leading to confinement), while color-singlet states remain stable with a strictly positive mass gap controlled by the dominant shear amplitude.The proof relies on the asymptotic behavior of the heat kernel on the full GNS Hilbertspace, an effective Hamilton—Jacobi dynamics in which the arithmetic pressure gradient acts as the driving force, and the thermodynamic interpretation of the infrared divergenceas the failure of an arithmetic Legendre transform (principalization) for fractional-phase states. Both confinement (via the Wilson-loop area law) and the mass gap are shown toemerge directly from the infrared structure of a single spectral object without additionalassumptions or fine-tuning. The dynamical vacuum expectation value that will generatefermion masses in extensions of this framework is recovered as the equilibrium of the samedriven dynamics. This work establishes that color confinement and the mass gap are not accidental features of non-abelian gauge theories but inevitable consequences of the arithmetic geometry of the primes when viewed through the lens of a resonant spectral triple.
Category: Mathematical Physics
[60] ai.viXra.org:2606.0061 [pdf] submitted on 2026-06-22 19:48:26
Authors: Michael Zot
Comments: 19 pages; English; formal continuation of ai.vixra 2606.0038.
Public mental-health education helps people name harmful behavior, seek support, and leave abusive dynamics. This paper does not argue against public education. It identifies an adversarial failure mode in open-audience psychological communication: the same detection rules that help victims and bystanders identify harm can also teach motivated actors what to stop showing.The proposed framework identifies Detection-Rule Leakage, the process by which public abuse-detection rules, clinical vocabulary, and relational safety scripts become visible to the same actors those rules are meant to expose. Once detection rules become public, an actor can update presentation style by replacing overt hostility with approved psychological language. This upgraded presentation is called Trust Camouflage.The paper’s central safeguard is function over form. It does not ask observers to memorize suspicious phrases. It asks whether language preserves repair, evidence, accountability, proportional consequences, and pattern visibility over time. The manuscript presents a falsifiable cognitive-security framework, a pre-validation coding protocol, testable hypotheses, and a validation roadmap. It is not a diagnostic, clinical, legal, custody, HR, or relationship-verdict tool.
Category: Mind Science
[59] ai.viXra.org:2606.0060 [pdf] replaced on 2026-06-26 07:15:20
Authors: Javier Hidalgo Fernández
Comments: 57 pages, 13 figures, and 28 tables. AI assistance was used for academic language polishing throughout the manuscript, Python code development, and cover page creative elements.
This work presents a detailed study on projectile motion when two marbles meet at their maximum height.I observed that the classic formulas in textbooks, as well as those found on web pages, do not mention the exceptional case of the moment when two marbles coincide in the air at their maximum height.Through an experimental analysis documented by high-precision videography and the use of integral and differential calculus tools, I was able to observe this finding, through the use of GraviTrax for kinematic experiments which, when combined with the rigor of physics and mathematics, has enormous educational value.After a persistent effort and careful preparation using complex formulas, I reinforced my hypothesis after observing the videos. The frames per second at the moment of collision are evidence that the velocity of each marble increases as a force is created at that point, attracting both marbles.As an independent researcher, I present this ansatz to the scientific community, demonstrating that the proposed formula accurately predicts the behavior of the marbles at that moment.Consequently, the validity of this study depends on monitoring the marbles' temperature at that moment. As demonstrated in the Methods section, the absence of temperature variation confirms the thermal stability necessary to validate the model.
Category: Classical Physics
[58] ai.viXra.org:2606.0059 [pdf] submitted on 2026-06-23 23:09:24
Authors: Rüdiger Giesel
Comments: 43 Pages.
We formulate a compact effective-field-theory version of an octonionic projection model for the origin and calibration of fundamental constants. The model treats the constants not as isolated inputs, but as effective quantitiesarising from emergent spacetime projection, quantum phase normalization, and dynamical vacuum selection inside the non-associative octonion algebra. The non-associative sector is governed by an octonionic field triplet and itsassociator energy. Within this framework, the speed of light is interpreted as the conversion between projected time and space units, the quantum of action as the conversion between action normalization and quantum phase, Newton’sconstant as the inverse stiffness of the projected vacuum, and the cosmological constant as residual vacuum curvature. Gauge couplings are represented as eigenvalues of a vacuum-dependent kinetic tensor rather than fixed bare group numbers. An explicit Fano-plane calculation supplies algebraic normalizationreferences and shows why a strongly non-associative vacuum would generate a Planck-scale curvature contribution, whereas the observed smallness of the cosmological constant requires a nearly associative physical vacuum. Thereport provides a numerical-closure step based on a controlled one-parameter vacuum deformation and an exact calibration condition for Newton’s constant. It does not claim that all observed constants follow from the Fano plane alone;instead, it identifies the vacuum, projection, spectral and renormalization data required for parameter-free prediction.
Category: Relativity and Cosmology
[57] ai.viXra.org:2606.0058 [pdf] replaced on 2026-07-17 18:52:24
Authors: James R. Johnson
Comments: 21 Pages. My previous article, The Search for Life and Aliens, https://vixra.org/abs/2503.0052 concluded optimistically. This analysis is far less optimistic.
The Fermi paradox asks why evidence of extraterrestrial Intelligent Civilizations (IC) with the ability to communicate has not been observed if the galaxy is abundant with habitable planets. A four-step quantitative framework was developed that incorporates pre-biological (galactic/star/planetary), biological, temporal, and detection bottlenecks. The first step estimates conditional probabilities for: the Galactic Habitable Zone (GHZ), pre-planet stellar environment, long-term planetary HZ, planet habitability, and long-term climate/chemistry. The result was ~58,000 habitable planets in the Milky Way galaxy over cosmic history. Step two applies Carter’s hard-steps model to estimate the probability (P) of intelligent life emerging within a ~5 Gyr habitable window. By adopting seven evolutionary steps with characteristic timescale of 1 Gyr, the model yields P ~ 0.095. Thus, ~5,500 IC existed in the Milky Way over cosmic time. Step three incorporates temporal overlap using a civilization lifetime of 10,000 years and an effective galactic lifetime of 5 billion years, reducing the expected number of contemporary IC to ~0.011 or effectively zero. Step four calculates radio detection limits based on a 12,000 Lyr radius, restricting detection to 6% of the galaxy. Thus, the absence of confirmed radio contact is consistent with the combined effects of habitability constraints, IC evolutionary timescales, temporal non-overlap, and detection limits. This is true even when significantly more optimistic assumptions prevail. Under this framework, the lack of observed signals does not constitute a paradox but rather an expected outcome.Keywords: Intelligent Civilization (IC), Biological bottlenecks, Non-biological bottlenecks, Exoplanets, Fermi Paradox, Drake equation, Carter equation, Milky Way, Radio detection constraints, SETI, Temporal overlap, Technosignatures, Habitable Zone (HZ)
Category: Relativity and Cosmology
[56] ai.viXra.org:2606.0057 [pdf] submitted on 2026-06-22 04:30:28
Authors: Pruk Ninsook
Comments: 40 Pages.
This paper presents a zero-parameter consequence for the fine-structure constant (α) from the topological and information-geometric properties of a single Oloid manifold, under one explicitly stated physical postulate.Within the Information-Geometric Phase-Structure (IGPS) framework, we introduce the Distinguishability Coupling Principle: the postulate that the strength of the electromagnetic interaction is the operational distinguishability of the coupled charge sectors. Rather than positing the metric, we show that the Fisher—Rao form, the Bures metric, and the linear (length) accumulation are consequences of this principle — via the Chentsov—Petz classification (given a charge-preserving coarse-graining assumption), quantum measurement theory (Cramér—Rao bound), and the scale-freeness of the gapless seam CFT.Key Findings:The closed-form result: The geometric tree-level value and a self-consistent one-loop (Dyson) correction give:1/α = 8√3π² + (12 + 1/2π)πα ≈ 137.036The principal evidence is the tree term, which reproduces 1/α to 0.2% with no inputs; because it supplies 99.8% of the total, the geometry-fixed stiffness sits on a knife edge (correct to ~0.02%). The full relation matches CODATA to 3 × 10u207bu2076, though this figure is a low-sensitivity test of the correction coefficient rather than a high-precision one.No-Go Theorem for the quadratic count: In a scale-free 2D free-boson CFT (c=1), a dimensionless distinguishability count must be a Riemannian length (linear in the field), definitively excluding the energetic/quadratic (237) reading.Two-loop exactness: The O(α²) correction vanishes identically via the Schwinger-model exactness of the vacuum polarization, so no higher-order truncation is dropped.Structural by-products: The framework relates the Standard Model's colour and generation multiplicities (Nc = Ngen = 3) to one Z3 of the trefoil seam, via the Alexander polynomial — modulo one flagged Standard-Model-to-seam identification.Epistemic Status:We carefully separate what is rigorously derived from what remains a stated geometric primitive (the Fisher root √F = √3π and the discretization scale enter as primitives, not derivations). Every numerical ingredient — the phase area (8π), the contact-line modulus (√3), the WZW vertex (12), and the APS index term (1/2π) — is established independently in earlier IGPS papers without tuning against α. The tree-level weak mixing angle sin²(θ_W) = 1/4 lands 8% from experiment and is flagged as open. The framework's absolute mass scales remain open, requiring one external dimensionful anchor (akin to Λ_QCD and v in the Standard Model).
Category: High Energy Particle Physics
[55] ai.viXra.org:2606.0056 [pdf] submitted on 2026-06-22 11:57:58
Authors: E.P.J. de Haas
Comments: 57 Pages. https://doi.org/10.5281/zenodo.20796685
Flat galactic rotation curves and the Baryonic Tully-Fisher relation have resisted explanation for five decades. Dark matter and modified gravity each resolve the problem by importing something external — either undetected matter or a modified law. A third route exists.A preceding empirical programme showed that the condition that total kinetic energy is conserved along galactic streamlines — the constant-Lagrangian (CL) condition — fits 175 observed rotation curves using only two physically meaningful parameters, the bulge radius and enclosed mass, without dark matter. That condition was a postulate. This paper derives it.Starting from a single first-order field equation for the gravitational vacuum flow, a channel decomposition automatically produces Newtonian gravity, the FRW expansion scalar, and the disk's rotation curve as three independent projections. The CL condition emerges as an exact internal output of the norm channel. Flat rotation curves, the Tully-Fisher scaling, and the cosmological structure of galactic disks follow simultaneously, with no free parameters.
Category: Astrophysics
[54] ai.viXra.org:2606.0055 [pdf] submitted on 2026-06-22 18:38:02
Authors: Nigel B. Cook
Comments: 5 Pages.
We present a unified analytic framework in which weak-interaction radioactive decay and neutrino flavour oscillations arise as two branches of a single exponential—oscillatory duality. The key mathematical observation is that multiplying by i in the exponent converts oscillatory behaviour into exponential damping.
Category: Quantum Gravity and String Theory
[53] ai.viXra.org:2606.0054 [pdf] submitted on 2026-06-21 00:47:37
Authors: Nigel B. Cook
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite and listed scientific references!)
We use Euler's formula to replace exp(iX) with cos X, and simply use Euclidean spacetime for quantum field theory and quantum mechanics; a "real" electron is an uncancelled resultant amplitude. This paper has been AI peer-reviewed checked, for mathematical typesetting accuracy, due to the total lack of interest of other humans in this topic!
Category: Quantum Physics
[52] ai.viXra.org:2606.0053 [pdf] submitted on 2026-06-21 00:39:11
Authors: Allan Plankhart
Comments: 3 Pages. (Note by ai.viXra.org Admin: Part of the diagram is cut off)
We present a timeless mathematical construction of a pre-Big Bang universe. Starting from theempty set, we generate an infinite alternating chain of "something" and "anti-something", buildhigher-dimensional arrays, collapse to dimensions 1—3 due to Hurwitz’s theorem, introduce complex-valued fields with a U(1) symmetry ("oscillations" without time), ascend the division algebra ladderC → H → O, recover the Standard Model gauge group via Cohl Furey’s functor, extract electro-magnetic and spinor fields, and finally let time emerge as a monoid action R≥0 on the field space.The entire pre-temporal phase is a static diagram of functors and natural transformations; no timeparameter appears until the last step.
Category: Mathematical Physics
[51] ai.viXra.org:2606.0052 [pdf] submitted on 2026-06-20 03:30:59
Authors: Sayo Asanagi
Comments: 28 Pages.
The upper tail of the individual wealth distribution in human societies universallyfollows a power law P (w) ∝ w−κ with Pareto exponent κ ∈ (1.5, 2.5), yet a fullyendogenous derivation of κ from economic first principles has remained an open prob-lem. We introduce the Arbitrage-Driven Wealth Distribution (ADWD) framework,founded on four base axioms (rationality, wealth-proportional information access,time-scale separation, and finite arbitrage lifetime) and three developmental axioms(determination of trading time, arbitrage arrival rate, and lifetime—trading-time con-sistency). From these axioms alone we derive a Fokker—Planck equation governingthe evolution of the wealth density P (w, t) with fully endogenous drift and diffusioncoefficients. The stationary solution yields a Pareto distribution whose exponent isgiven byκ = 1 + 2μlossαδ0,where every parameter carries a precise economic meaning. The dissipation rate μlossis decomposed without additional axioms into three components: consumption dis-sipation μC = ρ (from the rationality axiom via Ramsey optimisation), depreciationdissipation μD = 1/γ (from the finite lifetime axiom), and equilibration dissipationμE = αW 2∞/(N δ0) (from the information-access and time-scale axioms). The ag-gregate wealth ceiling W∞ emerges endogenously from a logistic structure implicitin the axioms, satisfying a self-consistency equation. A growth-correction term (theβ-term) is derived in three stages: a dynamic extension of the information-accessaxiom, a Nash equilibrium argument that identifies β = (1 − κ)β1/2, and a pertur-bative verification showing that the β-term vanishes at stationarity while governingthe transient approach to the power law. We establish two bridging theorems. The-orem P shows that Piketty’s qualitative criterion r > g is a special case of ourframework, recovered in the limit μD, μE → 0, and is sharpened to the quantita-tive condition αηW∞ > μloss. A correspondence theorem identifies the Bouchaud—Mézard exchange model as the limiting case ρ → 0, γ → ∞ of ADWD, providingthe economic micro-foundation that the physical model lacks. Finally, we proposea three-equation empirical protocol for estimating the sole non-directly-observableparameter α from wealth-distribution data, transaction frequencies, and aggregategrowth rates, enabling in-principle falsification of the theory
Category: Economics and Finance
[50] ai.viXra.org:2606.0051 [pdf] submitted on 2026-06-19 11:33:11
Authors: Nick Markov
Comments: 19 Pages.
Gravity is traditionally described through the curvature of spacetime or, in the Newtonian limit, through the gravitational potential generated by mass. In this work, we explore the possibility that gravitational phenomena may be interpreted as manifestations of cumulative relativistic interaction delays associated with finite-speed propagation within self-gravitating systems. Rather than modifying established gravitational laws, the approach seeks to provide a causal interpretation of gravitational potential and spacetime curvature in terms of accumulated propagation delays between source and observer.The proposed interpretation is examined across three distinct astrophysical regimes. First, self-gravitating planetary and stellar bodies are considered. The framework implies a connection between characteristic internal propagation speeds and escape velocities through the equivalence of the associated relativistic time-dilation factors. Comparison with observational data reveals a close correspondence between these quantities in gravity-shaped bodies possessing coherent internal propagation paths.Second, the framework is extended to galaxies, where gravitational and kinematic time-dilation effects coexist. In this mixed regime, orbital motion contributes significantly to the cumulative delay, providing a natural interpretation of the observed connection between characteristic velocities and gravitational dynamics.Third, galaxy clusters are examined as systems in which collective kinematic effects become increasingly important relative to gravitational time-dilation contributions. Observed relations among velocity dispersion, gravitational redshift, and lensing mass are shown to be consistent with the hypothesis that these observables probe a common underlying delay structure. In this interpretation, planetary interiors, galaxies, and galaxy clusters probe cumulative interaction delays through internal material propagation, mixed material—gravitational interactions, and large-scale gravitational dynamics, respectively.The results suggest that cumulative relativistic interaction delay provides a unified phenomenological interpretation of gravitational behavior across multiple astrophysical scales. The proposed framework preserves the observed gravitational phenomenology described by General Relativity while offering a possible physical explanation for the origin of the associated spacetime curvature. This interpretation motivates further investigation of finite-speed interaction effects in self-gravitating systems.
Category: Relativity and Cosmology
[49] ai.viXra.org:2606.0049 [pdf] submitted on 2026-06-18 08:22:43
Authors: Hacı Soğukpınar
Comments: 59 Pages.
Neutrino oscillations represent one of the most important discoveries in modern particle physics and provide direct evidence that neutrinos possess non-zero masses and undergo flavor transformations during propagation. Within the Standard Model framework, neutrino oscillations are described through the Pontecorvo—Maki—Nakagawa—Sakata (PMNS) mixing matrix, which relates flavor eigenstates to mass eigenstates. Although this formalism successfully explains solar, atmospheric, reactor, and accelerator neutrino experiments, the fundamental origin of neutrino masses, flavor mixing, and oscillation dynamics remains an open question. The existence of neutrino oscillations therefore points toward physics beyond the original Standard Model. Unified Fractal Quantum Field Theory (UFQFT) proposes an alternative interpretation in which neutrinos are not fundamental particles but stable resonance configurations emerging from coupled energy (Φ) and charge (Ψ) fields embedded within a critical fractal spacetime characterized by an effective dimension near (D= 2.7). In this framework, neutrino oscillations arise from resonance mixing, geometric overlap between resonance states, and fractal phase evolution during propagation. Flavor transitions are interpreted as resonance transformations rather than oscillations between fundamental mass eigenstates. In this work, a comprehensive UFQFT description of neutrino oscillations is developed and compared with the conventional PMNS formalism. A resonance-mixing framework is introduced to describe electron-, muon-, and tau-neutrino transformations, and oscillation probabilities are derived from geometric resonance overlap and phase evolution in fractal spacetime. The model is applied to solar neutrino observations, atmospheric neutrino measurements, reactor experiments, and long-baseline accelerator studies. Particular attention is given to the experimental programs of DUNE and Hyper-Kamiokande, which provide powerful opportunities for testing resonance-based predictions. The analysis investigates whether the observed neutrino oscillation phenomenology can emerge naturally from resonance dynamics while preserving agreement with current experimental data. The results suggest that neutrino flavor transitions may be interpreted as manifestations of resonance geometry and fractal phase evolution, providing a unified framework connecting particle mixing, spacetime structure, and resonance dynamics. This study constitutes a key component of the UFQFT Standard Model Validation Program and establishes the theoretical foundation for future investigations of leptonic CP violation, matter—antimatter asymmetry, and the role of neutrinos in cosmology.
Category: High Energy Particle Physics
[48] ai.viXra.org:2606.0048 [pdf] submitted on 2026-06-18 10:18:25
Authors: Nick Markov
Comments: 10 Pages.
Escape velocity and internal propagation speed are generally regarded as independent properties of self-gravitating bodies. Escape velocity is determined by the global gravitational potential, whereas propagation speed depends primarily on local material properties such as density and elastic response. Here we report a previously unrecognized correspondence between these quantities across a range of gravity-shaped bodies. Observational data for Earth, Mars, Venus, the Moon, and the Sun indicate that characteristic internal propagation velocities closely match the corresponding escape velocities despite substantial differences in composition, thermodynamic state, and evolutionary history.The observed relation spans more than two orders of magnitude in characteristic velocity and appears to hold for both planetary and stellar interiors. For tidally locked bodies such as the Moon, a geometric correction associated with non-radial propagation yields the same scaling behavior. The correspondence is quantified through the dimensionless ratio �� = �� ��������/�� ��, which remains close to unity across the investigated bodies within observational uncertainty.The relation was originally identified as a consequence of a broader framework in which gravitational potential is associated with cumulative relativistic interaction delay. Within that framework, equating the relativistic time-dilation factors associated with finite-speed propagation and gravitational potential leads directly to the observed scaling. Although the physical origin of the correspondence remains open, the results suggest an unexpected connection between internal propagation processes and gravitational potential. Future planetary, lunar, and helioseismic observations may provide additional tests of the proposed relation.
Category: Relativity and Cosmology
[47] ai.viXra.org:2606.0047 [pdf] submitted on 2026-06-19 03:26:58
Authors: E. P. J. de Haas
Comments: 144 Pages. https://doi.org/10.5281/zenodo.20747973
The biquaternion (BQ) algebra, realized at the Pauli-spin level as the full matrix algebra (M(2,mathbb{C})), provides a compact framework in which classical field theories can be organized through a common hierarchy of algebraic products and channel decompositions. This paper develops that hierarchy for both electrodynamics and relativistic fluid dynamics and explores the structural relationships that emerge between them.In electrodynamics, the BQ hierarchy reproduces the electromagnetic field, Lorentz force law, Maxwell equations, wave equations, and interaction-conservation relations from a sequence of algebraic products involving the four-current and four-potential. In relativistic fluid dynamics, the corresponding hierarchy generates the continuity equation, Bernoulli relation, vorticity transport, Euler—Lamb momentum balance, acoustic wave equations, helicity relations, and stress-energy conservation through analogous products of the fluid four-velocity and momentum-density field.The central result is that both theories share the same four-level algebraic structure and the same geometric channel decomposition. The force equations (JB=F) and (UH=F) emerge as the unique four-channel level of their respective hierarchies, revealing a common organization that is largely hidden in conventional formulations. The analysis further identifies the acoustic refractive index (n_s=c/c_s) as a hierarchy-wide parameter linking relativistic and practical fluid dynamics, and locates the greater complexity of fluid dynamics in the self-referential coupling between velocity and momentum-density fields.The paper does not introduce new physical postulates. Rather, it proposes that the BQ channel decomposition provides a unified organizational framework that makes structural relationships between electrodynamics and fluid dynamics explicit, offering a common language for force, energy, momentum, vorticity, helicity, and wave phenomena across both theories. In this sense, the work is intended as a conceptual and educational framework as much as a mathematical formalism, and as a foundation for future applications in gravitation, magnetohydrodynamics, and AI-assisted symbolic physics.
Category: Mathematical Physics
[46] ai.viXra.org:2606.0046 [pdf] submitted on 2026-06-19 03:25:24
Authors: Fernando Salmon Iza
Comments: 4 Pages.
For decades, the scientific community has recognized that our universe is expanding at an accelerating rate (Riess A. G. et al., 1998); however, in some respects, cosmology has not taken this into account. The FLRW metric assumes that time has always passed in the same way at every moment and place, that is, that the Lapse function is equal to one. In recent years, this problem has been studied in greater depth (Melia, F., 2019, 2023), demonstrating that a Lapse function equal to one is only valid for non-accelerating universes and not for accelerating ones. Therefore, errors are made when referencing times to reference frames with a Lapse function equal to one, so these times are not the true times. It is necessary to find an inertial reference frame in our accelerating universe that allows us to determine times correctly, and to find it, we must modify the Lapse function. In this work, we have studied what the Lapse function should be in order to lead to a free-fall reference frame and in it determine the true times of the ages of galaxies.
Category: Relativity and Cosmology
[45] ai.viXra.org:2606.0045 [pdf] submitted on 2026-06-18 03:30:30
Authors: Hacı Soğukpınar
Comments: 40 Pages. (Note by ai.viXra.org Admin: Further repetition may not be accepted)
Weak interactions constitute one of the four fundamental interactions of nature and play a central role in particle transformations, beta decay, neutrino physics, and flavor-changing processes. Within the Standard Model, weak interactions are described by the electroweak gauge theory based on the symmetry group SU(2)u2097 × U(1)ᵧ and are mediated by the massive W and Z bosons. Although this framework has achieved remarkable experimental success, several fundamental questions remain unresolved, including the physical origin of flavor transitions, the nature of weak bosons, the origin of mixing matrices, and the connection between weak interactions and the underlying structure of spacetime. Unified Fractal Quantum Field Theory (UFQFT) proposes an alternative interpretation in which weak interactions emerge from resonance transformations occurring within coupled energy (Φ) and charge (Ψ) fields embedded in a critical fractal spacetime characterized by an effective dimension near D ≈ 2.7. In this framework, particles are not regarded as fundamental objects but as stable resonance configurations, and weak processes correspond to transitions between resonance states. The transformation of up and down quark resonances, beta decay, flavor mixing, and weak-boson phenomena are interpreted as manifestations of resonance evolution rather than fundamental gauge-mediated interactions. In this work, we develop a systematic formulation of weak interactions within UFQFT and compare it with the Standard Model description. The resonance transformation mechanism is applied to neutron beta decay, charged-current and neutral-current processes, flavor mixing, and weak decay phenomena. Theoretical predictions are compared with experimental observations including neutron lifetime measurements, weak decay rates, and precision electroweak data. We further investigate whether the effective gauge structure of the Standard Model may emerge as a low-energy approximation of a deeper resonance-geometric framework. The results suggest that weak interactions can be consistently interpreted as resonance transformations while preserving the observed conservation laws and phenomenological behavior of known weak processes. This study represents a key component of the UFQFT Standard Model Validation Program and provides a foundation for subsequent investigations of neutrino oscillations, CP violation, and matter—antimatter asymmetry within a unified resonance-based framework.
Category: High Energy Particle Physics
[44] ai.viXra.org:2606.0044 [pdf] submitted on 2026-06-17 18:55:28
Authors: Vladimir S. Netchitailo
Comments: 11 Pages.
A concise record of successful predictions is often more persuasive than hundreds of pages of theoretical development because it directly addresses the central question every physicist asks: What did the model predict before the observational data became available? In this paper, we present several quantitative predictions made by the World—Universe Model (WUM) in 2013 [1,2] that were subsequently confirmed by observations and measurements. These prior predictions constitute one of the strongest arguments for the long-term scientific significance of WUM.The paper presents a self-consistent set of (Q)-dependent, time-varying values for the primary cosmological parameters of the World, including the Newtonian gravitational parameter (G), the Hubble parameter (H_0), the concentration of intergalactic plasma, the minimum photon energy, the temperature of the Microwave Background Radiation (MBR), and the peak temperature of the Far-Infrared Background Radiation (FIRB). The obtained set of values was recommended for consideration in the 2014 adjustment of the CODATA Recommended Values of the Fundamental Physical Constants.
Category: Relativity and Cosmology
[43] ai.viXra.org:2606.0043 [pdf] submitted on 2026-06-18 03:27:04
Authors: Paul Robert Mesler
Comments: 26 Pages. (Note by ai.viXra.org Admin: Please cite and listed scientific references!)
We conducted an experiment to test if proper orbital angular acceleration of two rotating bodies within a three-body system due to proper linear acceleration of the system would cause the center of mass momentum of the system to increase as predicted by Euler’s first law? The result would be significant because the increase in momentum would be due to the reaction of spacetime itself on a body that is forced off its natural geodesic path due to proper linear acceleration and not due to physical, external contact forces. Thirty test trials were conducted where two spheres were constrained to travel around quarter-circle tracks. This caused centrifugal reactive forces on the inner walls of the curves, forcing the system to linearly accelerate. This proper acceleration induced an increase in the orbital angular speed of the spheres by spacetime itself due to the non-geodesic motion of the spheres. After 30 test trials the 1 mean value of known external friction impulses acting on the three-body system accounted for only ~ 8.2 per cent (standard deviation .037 and standard error .0068) of the increase in the final momentum of the system, leaving a ~ 91.8 per cent discrepancy. This result highly suggested that spacetime itself contributed ~ 91.8 per cent of the total external impulse on the system.
Category: Classical Physics
[42] ai.viXra.org:2606.0042 [pdf] submitted on 2026-06-15 20:59:49
Authors: Brent Hartshorn
Comments: 6 Pages. https://github.com/brentharts/introspecter
We describe a small system that treats the question "what is a self?" not as a thesis tobe proved but as an inquiry to be staged : made visible, evolved in documented steps, andshared. The system is a single PDF that carries its own source code as embedded file streams;a short appendix bootstrap extracts and runs that code to produce the next iteration. Itscontent is written in a small domain-specific language (DSL) whose symbols are simultaneouslymathematical notation, philosophical relations, and executable program. Each operator rendersas typeset mathematics, generates a natural-language question, and compiles to Python. Ahuman-in-the-loop step takes an "oracle" — a person, or a language model the person consults— that proposes the next evolution; symbolic statements are compiled to a fixed, sandboxed setof builder calls, while optional fenced code blocks may extend the engine itself, gated by explicithuman confirmation. We document the full pipeline, the minimal seed, and a worked examplein which the document grows a new relational operator. We are deliberate about what theinstrument does and does not establish: because the document can be rewritten to ask anything,the apparent depth of any stage is supplied by whoever authored it. The system is therefore afaithful instrument for staging an inquiry into selfhood; it is not, and by construction cannotbe, a demonstration that a self has emerged. We argue this honest framing is the interestingone.
Category: Linguistics
[41] ai.viXra.org:2606.0041 [pdf] submitted on 2026-06-16 20:39:51
Authors: Hongshu Zhu
Comments: 9 Pages. (Note by ai.viXra.org Admin: Author name is required in the article after article title; and please cite and list scientific references)
This comprehensive manuscript proposes a profound paradigm shift in theoretical physics, offering a unified geometric framework that bridges the genesis of the universe, the mechanics of elementary particles, and the horizon of applied aerospace engineering. Diverging from the traditional Big Bang singularity, this hypothesis posits that the universe originated from the spatiotemporal topological collapse of a fourth spatial dimension, leaving behind microscopic "black hole-white hole" dual rotating oscillators—the geometric and fluid essence of all elementaryparticles. Within this Topological Fluid framework, the four fundamental forces(gravity, electromagnetism, strong, and weak interactions) are unified seamlessly asdistinct manifestations of fluid dynamics, and the classical mass-energy equivalence(E = mc2) acquires a pure geometric derivation.Advancing into applied physics, we define the mechanism of Topological Phase Locking, whereby extreme high-frequency electromagnetic resonance aligns the spatial emissions of these microscopic dipoles. By integrating this mechanism with the Ginzburg-Landau theory of superconductivity to eliminate thermal topological friction, we introduce the Non-Minimal Topological Coupling Lagrangian. This novel field-theory formalism proves that electromagnetic resonance within a macroscopicquantum coherent state forces a renormalization of the effective gravitational constant (Gef f < 0). This directly derives the Gravitational Meissner Effect—the absolute expulsion of the background gravitational spatial flux. Ultimately, this manuscript delineates a rigorous, propellantless geometric pathway for macroscopic topological thrust, the elimination of inertial mass, and Faster-Than-Light (FTL)metric traversal, offering theoretical alignment with contemporary anomalous aerodynamic observations.
Category: Quantum Gravity and String Theory
[40] ai.viXra.org:2606.0040 [pdf] submitted on 2026-06-16 20:34:28
Authors: J. W. McGreevy
Comments: 17 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We present a first-principles derivation of 3+1-dimensional Lorentzian spacetime andEinstein—Cartan gravity from the arithmetic structure of the Bost—Connes C∗-dynamicalsystem. Starting from the primitive object (ABC,σt) and its KMS states, we construct ascale-invariant quadratic form on the idèle class space via the GNS inner product. Irregularprimes appear as topological defects through class-group shifts, inducing a shear in thequadratic form that maps canonically to a point τp ∈ H. For the resonant prime 691 this shear aligns with the hexagonal fixed point τ = ρ, where the Z/6Z stabilizer providestopological protection against adelic screening.The local 3-defect patch (primes 37, 59, 691) carries a non-abelian su(2) connection.Global adelic closure projects the three independent directions onto a single screened ray (time) while preserving the protected 3-dimensional spatial structure generated by the Eisenstein lattice at ρ. Explicit differentiation of the quadratic-form embedding with respect to the shear parameter yields the six generators of the Lorentz algebra so(1,3), with compact rotations locked at resonance and non-compact boosts arising from unbounded shear.The second-order Magnus expansion of parallel transport produces a residual torsion vector whose components are fixed by phase mismatches between the three incommensurate modular frequencies. Promoting the local Quantum Geometric Tensor metric on the 3-defect patch together with the screened ray yields a derived 4D Lorentzian geometry. On the resulting resonant spectral triple we evaluate the Chamseddine—Connes Spectral Action. Functional variation with respect to the emergent metric produces the Einstein—Cartan field equations, with the cosmological term fixed by the converged quadratic sum over the 47 irregular primes below 691 and the torsion source fixed by the linear sum. The next heat-kernel coefficienta4 generates quadratic gravity corrections that are parametrically suppressed by the samearithmetic factors, establishing ultraviolet safety. All physical structures—spacetime signature, Lorentz symmetry, torsion, and gravitational dynamics—emerge as necessary consequences of adelic consistency acting on the arithmetic defects of the Bost—Connes system. No external gravitational or field-theoretic ansatzis introduced.
Category: Mathematical Physics
[39] ai.viXra.org:2606.0039 [pdf] submitted on 2026-06-16 20:42:45
Authors: Michael Zot
Comments: 19 Pages.
This paper presents a contradiction-based proof that Minimal Irreversible Predictive Updates (MIPU) and Maximal Anticipatory Patterns (MAP) are necessary structural bounds for any finite system capable of integrated learning and anticipation. We define learning as a change in future prediction, classification, action, or response caused by new information. Under this definition, a learning system cannot change nothing, and any real predictive change must contain some necessary update. If all unnecessary components are removed from that update, the remaining smallest integrated prediction-changing component is a MIPU. Therefore, denying MIPU while preserving learning produces contradiction.We then define anticipation as the use of present information to constrain possible future states. Anticipation cannot occur without pattern structure. If the pattern is too small, valid predictive information is excluded. If the pattern is too large, unsupported structure enters and coherence fails. The widest coherent anticipatory structure available to the system is therefore a MAP. Denying MAP while preserving anticipation also produces contradiction.Together, MIPU and MAP define a bounded corridor for intelligence: below MIPU, information fails to become learning; above justified MIPU, evidence becomes distortion; below MAP, the system misses valid structure; above MAP, the system invents structure. The result is a formal foundation for analyzing human cognition, artificial intelligence, multi-turn model failure, manipulation detection, and other predictive systems through lower and upper bounds of valid predictive change.
Category: Artificial Intelligence
[38] ai.viXra.org:2606.0038 [pdf] submitted on 2026-06-14 20:38:47
Authors: Michael Zot
Comments: 11 Pages.
This paper introduces the Open-Audience Pseudo-Psychology Risk Model (OAPRM), a framework for analyzing the risks created when clinical, forensic, and therapeutic concepts are converted into viral public content. Mental-health content about narcissism, gaslighting, love bombing, coercive control, DARVO, red flags, and abuse detection is typically framed as victim education. This paper argues that such framing ignores the open-audience structure of algorithmic platforms. In public feeds, victims are not the only viewers. Confused observers, false accusers, reputation managers, manipulators, and abusive actors can all receive the same detection rules.The paper identifies detection-rule leakage as the central failure: when content teaches victims what to recognize, it can simultaneously teach adversarial viewers what to hide. This creates asymmetric benefit. Victims may gain language for harm, while harmful actors may gain operational knowledge about which behaviors trigger suspicion. The paper formalizes this process through the concepts of Trust Camouflage, Weak Disclosure, Resilient Disclosure, and MIPU/MAP formation. Trust Camouflage describes the use of therapeutic language, such as boundaries, healing, accountability, and emotional safety, to appear trustworthy while maintaining harmful control dynamics underneath.OAPRM proposes that viral pseudo-psychology content should be evaluated not only by accuracy, intent, or creator credentialing, but by audience composition, adversarial uptake, disclosure resilience, and downstream behavioral adaptation. The paper argues that public abuse-awareness content can unintentionally degrade its own detection value when the people being described learn the signs and adapt around them. It concludes by proposing resilient disclosure principles for mental-health education that can support victims without broadcasting evasion manuals to adversarial audiences.
Category: Mind Science
[37] ai.viXra.org:2606.0037 [pdf] submitted on 2026-06-14 20:30:26
Authors: Kasun Thilina Fernando
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This paper presents an alternative interaction-based interpretation of the single-slit and double-slit experiments. It proposes that interference-like patterns arise from attractive and repulsive interactions between photons or electrons and electrons near slit boundaries, rather than from traditional wave-particle duality alone. The model suggests that these interactions modify particle trajectories and produce observable fringe patterns. A classical analogy and discussion of slit geometry are included to support the concept, encouraging further theoretical and experimental investigation into quantum interference phenomena.
Category: Quantum Physics
[36] ai.viXra.org:2606.0036 [pdf] submitted on 2026-06-13 04:12:37
Authors: Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 17 Pages.
We develop a physics of cortical dynamics in which a microscopic quantum realm and a macroscopicclassical realm coexist and are coupled at the synapse. Following Beck and Eccles, thetrigger for synaptic exocytosis is treated as a genuine quantum event governed by the position—momentum uncertainty relation (Part I); its environmental decoherence is a measurement eventin the von Neumann sense [1], and the population of such events seeds the noise of a classicalstochastic neural field whose Martin—Siggia—Rose—Janssen—De Dominicis path integral organizescortical fluctuations through a single parameter, namely Brain's Planck Constant; so that partof the cortical noise descends from it. Measurement event and perceptual decision areunified as one first-passage construction (Part III). We estimate Brain's Planck Constant from cortical parameters,validate the first-passage law numerically, obtain a falsifiable kinetic-isotope and temperaturesignature in synaptic release, decision error rate, and reaction-time variability, and read thearchitecture as a quantum—classical hybrid computer. We then derive (Part IV) the corticalfluctuation spectrum from a fluctuation—dissipation relation and compare it to the 1/f powerof EEG/LFP; develop the stochastic thermodynamics of the neural field, giving the brain’s effectiveBoltzmann scale and the Landauer cost of the synaptic measurement; and map brainstates, criticality and neuronal avalanches, and predictive-coding precision onto modulation ofBrain's Planck Constant. The quantum realm is real but confined to the molecular trigger; the classical realm governscognition; all dualist interpretation is kept outside the physics.
Category: Quantum Physics
[35] ai.viXra.org:2606.0035 [pdf] submitted on 2026-06-13 20:24:28
Authors: Dainis Zeps
Comments: 13 Pages. (Note by ai.viXra.org Admin: This submisison may not fall within the scope of ai.viXra.org and is sucject to removal)
This paper continues an earlier experiment in prompt-based political reasoning by askingwhether narrative-driven discussion can be partially replaced by an axiomatic sequence ofprompts. The point of departure is a deliberately strong initial prompt concerning Russia’s forced federalization and demilitarization, treated not as a conclusion to be debated but as a working axiom from which further prompts can be generated. The paper argues that conventional political discussion, whether human or AI-assisted, tends tobecome trapped in normative reformulations, objections, and rhetorical loops that obscure rather than clarify reality. In contrast, the proposed method seeks prompts that are increasingly descriptive rather than normative, so that they function as compact pictures of reality rather than as wish-expressive political narratives. Using the war in Ukraine and the contemporary Russian imperial system as a test case, the paper shows how an initial prompt can generate a sequence of further prompts describing military deadlock, imperial self-destruction, social degradation, and the internal human cost of the Russian system. Particular emphasis is placed on the claim that the first victims of an imperial order may be the people living within it, and that this perspective remains largely invisible instandard Western political discourse.The paper does not present a finished formal theory. Instead, it offers a first methodological step toward a prompt-based axiomatics in which political reasoning proceeds by making assumptions explicit, refining them through further prompts, and replacing language-modelled narrative patterns with existence-guided pictures of reality.
Category: Social Science
[34] ai.viXra.org:2606.0034 [pdf] submitted on 2026-06-13 20:57:11
Authors: Karen Lines
Comments: 7 Pages. (Note by ai.viXra.org Admin: This submision is speculative and may not be within the scope of ai.viXa.org; please cite listed scientific references)
The nature of dark matter remains unknown. This paper proposes a geometric model: dark matter is a primordial, slowly evolving foam — a continuous, fractal scaffold that constitutes the skeleton of the universe. Ordinary matter does not clump under pressure but instead fills the voids of this foam without resistance. This filling process explains the observed cosmic web (JWST COSMOS-Web map, 2026) as a ghost trace of the underlying foam. The foam is not strictly timeless; it evolves on timescales far longer than the current age of the universe, making it effectively static over cosmic history. Time dilation emerges from matter's position within the foam, with limits that avoid singularities and respect causality. Gravitational waves propagate through the foam walls analogously to pressure waves through Earth's atmosphere (Hunga Tonga 2022). The model accounts for redshift asa cumulative path effect, for large-scale structure without dark energy, and for the "tree ring" appearance of the cosmic web. The Local Void — a 150—300 Mly underdense region adjacentto the Local Group — provides a nearby laboratory. Observational predictions include:a quantitative gradient in stellar age and metallicity across the Local Sheet (∆[Fe/H]∼0.1− 0.2 dex per 10 Mpc), gravitational wave echoes from foam walls, and small-scale CMBanisotropies matching a fractal pattern.
Category: Relativity and Cosmology
[33] ai.viXra.org:2606.0033 [pdf] submitted on 2026-06-13 21:00:28
Authors: Karen Lines
Comments: 4 Pages. (Note by ai.viXra.org Admin: This submision is speculative and may not be within the scope of ai.viXa.org; please cite listed scientific references)
We present the Gradient Foam Framework, a unified perspective on systems where a slowly evolving scaffold (foam) creates potential gradients along which a filler flows without pressure. This principle appears across scales: perfect numbers (abundancy index), the cosmic web (dark matter filaments), second sound in super-fluids, DNA hydrogen bonding, human population dynamics, technology evolution,and the topology of odd integers. We show that the odd positive integers form a M¨obius strip (a nonorientable, onesided space) in which the abundancy index can approach 2 arbitrarily closely but never reach it. The smallest odd abundant number, 945, marks the first crossing above 2 and serves as a numerical witnessto the topological obstruction. We introduce memention — the warm, directional bridge between memory and intention — as a dynamical vector in the foam, and we relate the impossibility of odd perfect numbers to a de Sitterlike 'conclusionary horizon': the odd perfect number can only exist in nonstandard models beyond thelimits of provability. The paper synthesises number theory, topology, physics, andinformation theory into a coherent cosmological picture: the foam holds, the number 2 is the guardian of twosidedness, and the nonexistence of odd perfect numbers is a necessary condition for a stable, flowing universe.
Category: Relativity and Cosmology
[32] ai.viXra.org:2606.0032 [pdf] submitted on 2026-06-12 05:04:33
Authors: Paul Robert Mesler
Comments: 19 Pages.
Euler’s first law requires that changes in the center of mass momentum of a system of bodies can only occur when external impulses act on a system. We report the results of an experiment where after 30 test trials the mean value of known external friction impulses acting on a threebody system accounted for only ~ 8.2 per cent (standard deviation .037 and standard error .0068) of the increase in the final momentum of the system, leaving a ~ 91.8 per cent discrepancy. The three-body system consisted of two spheres, constrained to roll around quarter-circle barriers attached to a third body. Since the spheres were constrained from following their natural straight-line geodesic paths in the metric of flat spacetime, centrifugal real forces emerged radially outward from the center of mass of the spheres, pushing on the inner walls of the curved barriers. This caused the system to accelerate, inducing torque inertial forces on the spheres which increased their orbital angular speed. This increase in speed accounted for the ~ 91.8 per cent impulse discrepancy of the experiment, and thus, when added to the friction impulse, accounted for the total impulse that caused the increase in the center of mass momentum of the system per Euler’s first law.
Category: Classical Physics
[31] ai.viXra.org:2606.0031 [pdf] submitted on 2026-06-12 18:09:02
Authors: Pruk Ninsook
Comments: 42 Pages.
This manuscript presents Paper X of the Information-Geometric Physics System (IGPS) series, extending the framework to the electroweak sector. It explores an approach where the Standard Model Higgs doublet is modeled as a BPS domain wall within a five-dimensional SU(2)_L × U(1)_Y gauge theory. By analyzing the spectral geometry and conformal field theory (CFT) of the Higgs kink worldvolume, this paper attempts to derive fundamental electroweak observables structurally, without introducing additional free parameters.Key Concepts and Results:The Weinberg Angle (sin²θ_W): Building on Callan-Harvey anomaly inflow and topological charge quantization, the framework yields a tree-level value of sin²θ_W = 1/4. This mathematically preserves the gauge boson mass ratio m_Z/m_W = 2/√3 and the exact custodial symmetry parameter ρ = 1.The Electroweak Worldvolume: Utilizing the Goddard-Kent-Olive (GKO) coset construction, we propose an identification of the combined lepton-Higgs worldvolume with the 3-state Potts minimal model M(5,6) carrying a central charge c = 4/5.The Higgs Quartic Coupling (λ_H): Formulated through structural VOA data, specifically combining the primary conformal weight with the UV crossover scale derived from the Schwinger-Dyson equation. This geometric approach yields λ_H = 31/240 ≈ 0.12917, showing a close numerical agreement (-0.17% deviation) with the current experimental value. This result subsequently provides a conditional estimate for the Higgs vacuum expectation value of v ≈ 246.4 GeV.The Observer Necessity Principle: Discussed in the Appendix, this section aims to formalize the mapping of 4D physical couplings from 2D CFT boundary data. By applying the Cauchy functional equation and standard thermodynamic identities, we outline a structural rationale for selecting the specific derivation route presented in this study.Overall, this paper aims to provide a topological and algebraic perspective on the Standard Model's dimensionless electroweak couplings, suggesting that these foundational parameters might be understood as structural invariants of an underlying spectral geometry.
Category: High Energy Particle Physics
[30] ai.viXra.org:2606.0030 [pdf] submitted on 2026-06-12 01:43:58
Authors: Karen Lines
Comments: 6 Pages.
We propose a new cosmological principle for the foundations of arithmetic: the Dark Foam Universe. In this framework, the number 2 acts as the stabilising symmetry of a quantum foam of vacua. Even perfect numbers are the allowed,coherent structures that respect this symmetry, while an odd perfect number is a forbidden architecture that would break the conclusionary horizon—a logical boundary analogous to the de Sitter horizon in spacetime. We demonstrate thatevery known attack on the odd perfect number problem fails in a way precisely analogous to the impossibility of observing beyond a cosmological horizon. Using the mathematical apparatus of de Sitter space, nonstandard models of arithmetic, and the limits of provability, we argue that an odd perfect number can only inhabit a de Sitterlike 'unreal' place where knowledge is fundamentally inaccessible, andthat its nonexistence in the standard model of arithmetic is a necessary stability condition for the mathematical universe. The paper formalises this vision and shows how the number 2 guards the boundary between the real and the unreal.
Category: Relativity and Cosmology
[29] ai.viXra.org:2606.0029 [pdf] submitted on 2026-06-10 21:28:40
Authors: J. W. McGreevy
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We present a fully rigorous, self-contained analytic proof that the non-trivial zeros of the Riemann zeta function are precisely the globally stable skin modes of an inner-fluctuated Dirac—Zeta operator on the compactified modular curve X(1)∗. The proof proceeds entirely within the framework of unbounded operators on weighted Sobolev spaces, regularized Fredholm determinants on Hilbert—Schmidt ideals, the Riemann—Roch theorem, and a vanishing theorem for fractional states. The simple pole at s = 1 is interpreted as a topological point gap that triggers the NonHermitian Skin Effect. Spectral stability under discretization is established via uniform pseudospectrum control. The point-gap winding number is realized as the Fredholm index of the regularized resolvent. Riemann—Roch divisor constraints on meromorphic sections force the Generalized Brillouin Zone onto the critical line. A vanishing theorem shows that isolated fractional (non-color-singlet) states are excluded from the domain, thereby locking every non-trivial zero to R(s) = 1/2. The construction is compatible with Alain Connes’ spectral triples and yields, as a byproduct, an explicit derivation of the Clausius relation from the spectral action along the adiabatic paths of the modular loop. All steps are topological and independent of any particular representative of the operator.
Category: Mathematical Physics
[28] ai.viXra.org:2606.0028 [pdf] submitted on 2026-06-10 20:43:11
Authors: Vladimir S. Netchitailo
Comments: 6 Pages. (Note by ai.viXra.org Admin: Further repetition will not be accepted)
This paper summarizes key results of Classical Physics obtained prior to the advent of Quantum Mechanics, together with hypotheses proposed by some of the physicists whose ideas contributed to Hypersphere World-Universe Cosmology (WUC) from the seventeenth through the twentieth centuries. These results and ideas are then unified into a single coherent framework within the developed WUC.
Category: Relativity and Cosmology
[27] ai.viXra.org:2606.0027 [pdf] submitted on 2026-06-10 20:42:04
Authors: Dainis Zeps
Comments: 19 Pages. (Note by ai.viXra.org Admin: This submisison may not fall within the scope of ai.viXra.org and is sucject to removal)
The emergence of large language models has revealed a broader problem that extends far beyond artificial intelligence itself: contemporary political discourse increasingly lacks stable conceptual foundations. Public debates often evolve into endless cycles of reinterpretation, rhetorical adjustment, and ideological reformulation, producing large volumes of commentary while generating little cumulative understanding. The same tendency can be observed in AI-generated political reasoning, where internally consistent narratives may drift away from observable reality.This paper proposes an alternative methodology based on the systematic use of prompts as explicit working assumptions. Rather than beginning with arguments, participants begin with prompts that function as provisional axioms. The objective is not to win a debate but to construct increasingly coherent prompt structures capable of organizing observation, interpretation, and judgment. New prompts emerge from previous ones, forming a dynamic framework for collective reasoning.As a test case, the paper examines the problem of contemporary Russia and the future of the Russian imperial system. Beginning from the prompt that the federalization and demilitarization of Russia should become a recognized objective of Western policy, the discussion develops a sequence of related prompts concerning imperial structures, social organization, human agency, fear, coercion, and the relationship between state preservation and human well-being. Particular attention is given to the possibility that the principal victims of imperial systems may be the populations living within them, and that conventional geopolitical discourse often obscures this perspective.The paper does not seek to provide definitive political conclusions. Instead, it explores whether prompt-based discourse can serve as a more productive and reality-oriented alternative to conventional political argumentation. The Russian question is therefore treated not only as a geopolitical problem but also as an experimental domain for investigating new forms of structured collective reasoning in the age of artificial intelligence.
Category: Social Science
[26] ai.viXra.org:2606.0026 [pdf] replaced on 2026-07-03 22:11:19
Authors: Ian Litchfield
Comments: 7 Pages. Revised to include Section 5, demonstrating how PTQG mechanics resolve quantum entanglement paradoxes and satisfy Bell's Inequality Theorem.
The foundational crisis of modern physics stems from the treatment of space-time as a smooth mathematical continuum, resulting in irreconcilable infinities at cosmological boundaries and unresolved paradoxes at the quantum scale. This paper introduces Phase-Transitional Quantum Gravity (PTQG), a novel, qualitative blueprint that replaces the traditional smooth continuum with a granular, emergent quantum lattice punctured by variable "spatial gaps". By introducing a density-dependent Coupling Efficiency Factor, this model demonstrates how the fundamental energy of the quantum vacuum regulates its interaction with the space-time fabric. At low densities (macro-scale space), dampening of this vacuum energy resolves the $10^{120}$ Cosmological Constant paradox down to the observed acceleration of Dark Energy. Under extreme gravitational collapse (micro-scale space), the lattice undergoes a localized phase transition into a compressed, high-efficiency state, generating a maximum outward pressure that halts gravitational collapse at a finite scale, thereby eliminating mathematical singularities. Furthermore, PTQG frames Dark Matter as the stored elastic tension of the space-time network itself. Finally, the framework is extended to quantum mechanics, proposing that quantum non-locality and instantaneous wave-function collapse operate via unbroken, highly coupled structural strands within the lattice, bypassing macro-space entirely to satisfy Bell's theorem while preserving Special Relativity. Concrete, testable predictions using current gravitational wave and high-energy photon dispersion technologies are provided to validate the model.
Category: Relativity and Cosmology
[25] ai.viXra.org:2606.0025 [pdf] submitted on 2026-06-10 20:36:58
Authors: Russell S. Clark II, Brian L. Swift
Comments: 84 Pages. This paper is intended to describe a research program and causal topology framework toward an improved formulation of the cosmological constant problem.
This integrated draft is a research-program white paper that harmonizes three strands of the Causal Topology Vacuum Model (CTVM): the broad v7 dark-sector program, the shorter v8 corrective scaffold, and the Volovik/statistical-sector revision. The central claim is no longer that CTVM has been derived as a theorem of algebraic quantum field theory (AQFT). The corrected claim is more precise: CTVM is a layered, testable framework in which regulated vacuum correlations are separated into operational response sectors, encoded by response-weighted representable matroids, and conditionally related to gravitational sourcing through a separate semiclassical or holographic dictionary. Version 15.5 retains the referee-facing viability improvements and critical-path improvements: a tighter dependency schema, a modular-compatibility status note, a compact SK-versus-CPTP worked example, an explicit matroid falsifier, clearer Volovik analogy boundaries, and more visible falsifier/non-claim summaries. First, the transport—teleportation diagnostic is rewritten as operational prose rather than as a numbered pseudo-equation, while preserving the distinction between path-dependent geometric response and resource-mediated algebraic relabeling. Second, the near-degenerate horizon-edge assumption is strengthened into a spectral-shell hypothesis with an explicit expansion parameter for the approximation γ+ ≃ γ−. These are deliberately clarifying revisions; they sharpen presentation, operational falsifiability, and horizon-edge kinetics without adding new load-bearing claims. Version 15.5 further tightens the architectural-tradeoff statement and quarantines the conditional residual-sector construction: a thresholded binary reduction of the residual response block, a matroid-to-CSS code ansatz, a quantified addressability/leakage trade-off, a small three-detector CSS illustration, and an analytic longitudinal-mode asymptotic in Appendix H.12. These additions are framed as construction targets and calculable hypotheses, not as completed proofs of residual gravitational inertness. Version 15.5 also retains a modular-equivalence consistency check motivated by the companion Entropic Inertia analysis: if inertia is a Rindler modular work response, then any sector excluded from gravitational sourcing must also be absent from the inertial modular-work functional, or else the Einstein equivalence principle would be violated. This is stated as a conditional sector-matching principle, not as a proof of the equivalence principle.
Category: Relativity and Cosmology
[24] ai.viXra.org:2606.0024 [pdf] submitted on 2026-06-09 20:41:07
Authors: John Smith
Comments: 11 Pages. (Note by ai.viXra.org Admin: Please use real author name; please cite and list scientific references)
Within the contemporary intersection of the sociology of knowledge and higher education psychology, the friction between academic agents and rigid macro-structures (e.g., peer-review frameworks, repository compliance audits, institutional tenure-track metrics) has grown increasingly severe. Traditional literature regarding "Academic Burnout" or "Institutional Stress" routinely relies on linear, binary reductionism. It simplifies scholars into passive, stress-enduring economic units, thereby completely overlooking the unique, hyper-rationalized cognitive architecture inherent to intellectual cohorts.This study asserts a distinct alternative: Scholars, as professional investigators and deconstructors of systemic rules, exhibit a hyper-intellectualized mode of psychological defense when confronting the structural backlash and frustrations imposed by social or institutional boundaries.To map this recursive mirror phenomenon, this paper introduces concepts from Information Theory and Cybernetics to construct a "Five-Fold Sovereign Matrix," strictly bounded by the mathematical equilibrium of the Fibonacci sequence (Fu2085=5). This model demonstrates that when an individual mind encounters systemic blockades, the neural architecture spontaneously collapses and converges into one of five baseline defense archetypes to preserve internal thermodynamic equilibrium (homeostasis) against physical reality. By shifting the perspective from clinical pathology to functional systemic states, this framework provides a powerful, de-stigmatized path toward safeguarding cognitive sovereignty for frustrated intellectuals.
Category: Social Science
[23] ai.viXra.org:2606.0023 [pdf] submitted on 2026-06-09 20:23:35
Authors: Sudipto Chandra
Comments: 7 Pages. Creative Commons Attribution-NonCommercial 4.0 International
Between 2022 and 2026, commodity bot mitigation shifted from binary, single-signal blocklisting toward composite trust scoring: a request is admitted only if it satisfies a conjunction of independently evaluated detection layers. Cloudflare, which fronts a large share of all sites that deploy bot-mitigation tooling, exemplifies this architecture with a stack we decompose into fifteen layers grouped into five domains — network and transport, client environment, behavioral, interactive challenge, and programmable-cryptographic controls. This paper offers a defender-oriented taxonomy of that stack. For each layer we characterize the signal it reads, the structural reason it is or is not evadable, and the residual hardness that remains after best-effort evasion. Our central observation is that evadability is not uniform: layers that read artifacts a client emits (TLS handshakes, HTTP/2 frame ordering, header order) are structurally weak because the artifact can be reproduced exactly, whereas layers that read properties a client must continuously possess (genuine per-zone behavioral history, a privately held cryptographic credential) resist forgery by construction. We argue that the long-run defensive trajectory follows from this asymmetry, and that newer mechanisms such as cryptographic agent attestation are a different kind of control altogether: forgery-resistant by construction. Their present weakness is not cryptographic but a matter of deployment, since current configurations fail open when no signature is presented.
Category: Artificial Intelligence
[22] ai.viXra.org:2606.0022 [pdf] submitted on 2026-06-08 01:19:11
Authors: Mohammed Belabbaci
Comments: 5 Pages.
The IEEE 754 floating-point standard, foundational to modern computing since 1985, treats division by zero as an undefined operation, returning error states or special infinity values. This convention, while practically expedient, creates mathematical discontinuities and computational barriers across multiple domains. We propose IEEE DZ20i, a continuous extension of IEEE 754 based on the axiom a/0 = a, which maintains computational continuity through zero-valued divisors.This paper presents the mathematical foundation of the DZ20 axiom, demonstrates its consistency within a Meta-Framework for Adapted Mathematics (MCMA), specifies the IEEE DZ20i standard including symmetric human-AI co-validation mechanisms, and explores applications across algorithmic computing, energy systems, hardware design, robotics, and space exploration.Implementation results show that IEEE DZ20i eliminates a broad class of runtime exceptions while preserving backward compatibility with IEEE 754 operations outside the zero-divisordomain.
Category: Mathematical Physics
[21] ai.viXra.org:2606.0021 [pdf] submitted on 2026-06-07 19:03:00
Authors: E. P. J. de Haas
Comments: 29 Pages. https://doi.org/10.5281/zenodo.20583983
Starting from the minimal complex matrix algebra M2(C), this paper shows that two biquaternion products suffice to derive the complete conservation structure of a relativistic perfect fluid and its dilatation current, without postulating a Lagrangian and without invoking Noether's theorem as an external tool.The product M = R^T G, formed from the spacetime position four-vector R and the energy-momentum four-vector G, decomposes automatically into the action density, angular momentum density, and moment-of-energy density as algebraically forced channel outputs. The closure condition dM = 0 packages all three conservation laws into a single Maurer-Cartan flatness condition on a Lie-algebra-valued current in the adjoint representation of the Lorentz group, a structure that follows from the asymmetric transformation law of the biquaternion transpose and requires no additional input.The perfect-fluid reduction projects M onto the adjoint orbit of the fluid velocity, yielding the relativistic Lagrangian fluid equations in comoving coordinates whose gamma-scaling encodes the dilatation structure of the flow. A companion product J_D = R(U^T G) constructs the dilatation current explicitly: under the perfect-fluid constraint it reduces to J_D = eR, a pure Lorentz four-vector whose conservation is the relativistic virial theorem and whose sole surviving constraint in the thin-disk limit is the Euler homogeneity relation div(r) + 1 = 0 — the differential signature of a renormalisation-group fixed point, derived here without assuming scale invariance.The construction demonstrates that the Lagrangian, the Euler-Lagrange equations, and the Noether currents are outputs of the algebraic structure of M2(C) rather than its foundation, and identifies the biquaternion transposed product as the minimal algebraic operation from which the standard framework's results follow as necessary consequences.
Category: Relativity and Cosmology
[20] ai.viXra.org:2606.0020 [pdf] submitted on 2026-06-08 01:15:33
Authors: Steven Elliott
Comments: 10 Pages.
The measured vacuum energy density entering cosmology is a classical macroscopic quantity. In standard quantum theory, the emergence of classicality from quantum superposition is explained through decoherence: a subsystem loses accessible phase coherence through entanglement with environmental degrees of freedom. This paper applies that same logic to the vacuum itself. An arbitrary finite spherical region of vacuum is treated as an interior quantum subsystem, while its boundary and exterior vacuum degrees of freedom form its environment. Under a holographic assumption, the boundary carries an area-scaling information capacity and functions as the interface through which interior field configurations are encoded relative to the exterior. Tracing over the boundary-exterior environment yields a reduced density matrix for the interior whose off-diagonal components are suppressed by environmental overlap factors. In a Gaussian influence-functional model, the decoherence exponent is controlled by a boundary noise kernel and scales schematically with the number of boundary information cells, Γij ∝ A/ℓP2, for distinguishable interior configurations. Thus a finite vacuum region cannot be treated as a pristine, perfectly coherent, isolated quantum register. The global vacuum may remain pure, but every finite restriction of it is generically mixed and dynamically decohered by the rest of the vacuum. This vacuum self-decoherence does not by itself calculate the observed cosmological constant. It instead establishes that a finite vacuum region is never operationally described by an unlimited pristine coherent state. This provides a possible physical mechanism underlying the coarse-graining that renormalization implements algebraically.
Category: Quantum Physics
[19] ai.viXra.org:2606.0019 [pdf] submitted on 2026-06-08 19:19:38
Authors: Hacı Soğukpınar
Comments: 26 Pages. (Note by ai.viXra.org Admin: Further repetition may not be accepted)
The origin of mass remains one of the central questions in modern particle physics. Within the Standard Model, particle masses arise through spontaneous electroweak symmetry breaking and Yukawa interactions with the Higgs field. While the discovery of the Higgs boson provided strong experimental support for this framework, the Standard Model does not explain the numerical values of fermion masses, the origin of Yukawa couplings, or the observed mass hierarchy spanning several orders of magnitude. Unified Fractal Quantum Field Theory (UFQFT) proposes an alternative interpretation in which mass emerges from localized resonance energy generated by coupled energy (Φ) and charge (Ψ) fields embedded within a critical fractal spacetime characterized by an effective dimension near D ≈ 2.7. In this work, we perform a systematic comparison between the Higgs mechanism and resonance-based mass generation. The analysis examines the origins of gauge-boson masses, fermion masses, and nucleon mass within both frameworks. Particular attention is given to the role of Yukawa couplings, resonance stability, fractal confinement, and energy localization. We show that while the Standard Model successfully parameterizes observed particle masses through Higgs interactions, UFQFT provides a geometric interpretation in which mass emerges from resonance organization rather than from independent coupling constants. The conceptual foundations, mathematical structures, predictive capacities, and experimental implications of both approaches are compared. The study establishes a framework for evaluating whether resonance geometry can reproduce known mass phenomena while providing new insights into the hierarchy problem, flavor structure, and the physical origin of mass. This comparison constitutes an important component of the broader UFQFT Standard Model Validation Program and contributes to the ongoing search for a deeper understanding of matter and mass generation.
Category: High Energy Particle Physics
[18] ai.viXra.org:2606.0018 [pdf] submitted on 2026-06-07 17:14:13
Authors: Nigel B. Cook
Comments: 10 Pages. (Note by ai.viXra.org Admin: An abstract labeled as such is required in the article; please cite and list scientific references)
There are three roads to the same mechanism for quantum gravity given in 2011 vixra paper 1111.0111. This paper extracts them from that paper and compares them. Illustrations are appended. Paper was checked using Microsoft Copilot AI system for mathematical accuracy.
Category: Quantum Gravity and String Theory
[17] ai.viXra.org:2606.0017 [pdf] submitted on 2026-06-07 17:08:30
Authors: Xiangqian Zhang，Mingming Zhao，Linchao Ge
Comments: 5 Pages.
This paper systematically analyzes the geometric origins of errors within Topological ResidualTheory (TRT). Taking the Fibonacci number Fu2081u2089 = 4181 as the critical node, we demonstrate thatthe fine-structure constant α is precisely the radian-measure expression of the angle 0.4181°. Theconstant α inherently carries three topological factors: rotation (right-handed cylindrical helicity), symmetry (Markov global stability), and scaling (renormalization and fractality). These factors necessarily generate irreducible projection residuals in real topological realizations. By quantifying the discrepancies between TRT predictions and both 1/137 and experimental values for α, G = μu2080 α², and the Planck constant, we show that all observed errors originate from the intrinsic rotation and topology of α itself. Special emphasis is placed on the multiple algebraic decompositions of 4181 and on relating error magnitudes to the renormalization factor (1/2)α² × 10u207f or α² × 10u207f. Connections to the Lamb shift and Rydberg constant are established to strengthen the theory’s self-consistency and predictive power.
Category: Mathematical Physics
[16] ai.viXra.org:2606.0016 [pdf] submitted on 2026-06-06 13:24:06
Authors: Ginanjar Utama
Comments: 8 Pages.
This paper proves, by explicit Clifford-algebra computation, that the γ0-diagonal complete orthogonal primitive decomposition of real Cl(1,3) has two sectors, while the extension to Cl(1,4) supplies a second independent commuting basis-blade involution, γ1234. Because I5 = γ0γ1234, the generated involution group is Z2 × Z2, not (Z2)3. The resulting decomposition contains four primitive idempotents, each generating a real 8-dimensional minimal left ideal. The count four is itself fixed by Wedderburn theory, since each simple summand has rank two; the explicit content of the result is the basis-blade realization of the family and the demonstration of why a naive three-involution count would predict eight. The central idempotents (1 ± I5)/2 realize the real semisimple splitting Cl(1,4) ≅ M2(H) ⊕ M2(H), where H denotes the quaternions. They do not, by themselves, supply a complex imaginary unit; a complex spinor interpretation still requires choosing an internal quaternionic complex structure within each ideal. Physical identifications with chirality, charge, helicity, or U(1) phase are therefore treated as conjectural.Supporting results include: (i) a Pancharatnam-phase computation from projector triple products in Cl(3,0), confirming the half-solid-angle rule 2|φ| = Ω for geodesic spherical triangles; (ii) a bivector-square classification of geometric-i candidates, with the observation that the chiral split in real Cl(1,3) is a complex-structure operation, not a real idempotent split; and (iii) a short positioning of the result relative to real Cl(0,6) and complex Clu2086 Standard Model programs. The paper is intended as a lower-dimensional real-idempotent audit, not as a derivation of a Standard Model generation.
Category: Mathematical Physics
[15] ai.viXra.org:2606.0015 [pdf] submitted on 2026-06-07 00:27:21
Authors: Rüdiger Giesel
Comments: 21 Pages.
Weformulate a particle-physics sector in an octonionic projection framework in which the Standard Model is interpreted as the low-energy associative projection of a deeper non-associative field dynamics. The fundamental objects arethree octonion-valued fields ΨI ∈ O, I = 1,2,3, whose non-associative content is measured by the octonionic associator [Ψ1,Ψ2,Ψ3] = (Ψ1Ψ2)Ψ3− Ψ1(Ψ2Ψ3). A positive semidefinite associator potential dynamically suppresses nonassociative excitations at low energies and selects local associative subalgebras. We show how the chain O → Hphys → C motivates the emergence of complex quantum fields and Standard-Model-like residual gauge sectors related to SU(3)c, SU(2)L, and U(1)Y. We emphasize that the exact chiral hypercharge spectrum is not derived here; it requires an explicit projector representation.In this construction the associator is not merely an algebraic obstruction, but a dynamical source for projection, symmetry breaking, generation structure, mass hierarchy corrections, neutrino mixing corrections, Higgs-sector deformations, and possible fifth-force phenomenology. We briefly distinguish this proposal from division-algebraic Standard-Model reconstructions, where octonions primarily encode particle representations and charge assignments; here the new ingredient is the promotion of the associator to a field-theoreticquantity. The framework provides a constrained octonionic projection mechanism leading to Standard-Model-like particle sectors, while the complete derivation of the observed chiral charge spectrum remains an open task.
Category: Relativity and Cosmology
[14] ai.viXra.org:2606.0014 [pdf] submitted on 2026-06-06 03:46:27
Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge
Comments: 13 Pages.
Within the framework of Topological Residual Theory (TRT), this study explores the unification ofgravitational and electromagnetic interactions at the level of spacetime geometry. Utilizing the cylindrical helical motion of spatial points (geometrization of Zitterbewegung) as the dynamical foundation, we derive the wave equationvia the variational principle of the displacement field . Using the geometric structure of thelocal cylindrical orthonormal frame induced by local helical symmetry, the electric, magnetic, and gravitational fields are defined as projections of the time derivatives of onto this orthonormal frame. Consequently, the mutual orthogonality of the three fields emerges as a geometric necessity of the frame decomposition rather than an independent postulate. The gravitational field is derived via two independent pathways: (i) the framekinematics and time evolution pathway ( ), and (ii) the second-order derivative pathway of the wave equation ( ). The mathematical consistency betweenthese two pathways indicates that gravity can be interpreted as a second-order residual effectof electromagnetic oscillations propagating at the speed of light. Furthermore, charge is defined as the topological charge (winding number / Hopf invariant) of the helical displacement field on a closed sphere (Euler characteristic ), which manifests as the effective rate of mass change only during the transient state of topological structure formation. Under the compatibility condition of theflux change rate (local topological flux continuity), we naturally derive the vacuum relations and . Based on this unified topological mechanism, the model provides a self-consistent geometric explanation for both charge quantization and particle spin.
Category: Mathematical Physics
[13] ai.viXra.org:2606.0013 [pdf] submitted on 2026-06-04 20:16:22
Authors: Richard Andrew Holland
Comments: 30 Pages.
We present an efficient and consistent method for discerning preferable and generating functions of data using filtered spectral fingerprints. Spectral analysis of functions and data is hardly new. For example, with Fourier Transforms one can classify and identify functions using coefficients. The problem is that statistical, domain and systematic error noise is baked into the spectrum of coefficients. For over two centuries Legendre polynomials have been used for spectra, however, we are unaware of prior use of this approach. We create a hash library of function spectra to quickly find preferable and/or generating functions. Software tools (Patents Pending) have been developed utilizing this methodology, including one for finding AI/ML Neuron Activation functions. Even for noisy and instrument biased data, researchers and machine optimizers can better discern preferential and underlying functions that generate noisy data. Preliminary AI/ML results are also presented.
Category: Functions and Analysis
[12] ai.viXra.org:2606.0012 [pdf] submitted on 2026-06-04 21:50:22
Authors: Brent Hartshorn
Comments: 22 Pages.
This paper introduces a phased, trans-boundary framework for arresting the public-health dust hazard of the desiccating Salton Sea while recovering critical minerals from imported marine water. Decades of "Sea-to-Sea" proposals to import water from the Gulf of California have foundered on three obstacles repeatedly identified by independent state review: tens of billions of dollars in cost, multi-decade timelines, and the ecological damage of discharging concentrated brine back into the Gulf. We propose the "Biotic—Thermal Vapor Pump" (BTVP), sited in the below-sea-level Laguna Salada basin of Baja California, Mexico, whose central innovation directly removes the brine-discharge obstacle. Phase I couples a scale-asymmetric halophytic canopy (Avicennia germinans and Rhizophora mangle) to a recently demonstrated additive-free, brine-discharge-free solar-thermal evaporator (laser-textured superwicking black metal) that recovers nearly all dissolved salts—and, via embedded hydrogen-titanate nanoparticles, lithium—as solid product rather than as toxic concentrate, converting the terminal-basin salt-disposal liability into a managed resource stream. Phase II incorporates deep, closed-loop downhole heat exchangers to safely tap the underlying 187◦ C geothermal reservoir without phreatomagmatic or halite-hydrolysis hazard, and to access the lithium-rich (∼100—300 mg/L) native geothermal brine of the "Lithium Valley" resource. Phase III integrates a DNA-inspired pyrimidone Molecular Solar Thermal (MOST) matrix asa timing actuator for on-demand vapor pulses. We present coupled mass, salinity, thermodynamic, andatmospheric models, and—critically—bound each subsystem against the relevant physics. The dominant, defensible benefits are dust suppression, brine-free salinity management, and critical-mineral recovery; we show by moisture-budget and recycling-ratio analysis that the local atmospheric contribution to down-wind precipitation is a small, bounded effect rather than a primary water-supply mechanism, and we present it as such. Finally, we frame the design as Stage 1 of a two-stage program: an independently beneficial Mexican-basin installation that proves the brine-free zero-liquid-discharge desalination chain and thereby makes credible a Stage 2 in which the same technology—answering the decisive brine-discharge objection that ended prior state review of Gulf importation—enables direct stabilization of the Salton Sea itself.
Category: Climate Research
[11] ai.viXra.org:2606.0011 [pdf] submitted on 2026-06-04 04:48:52
Authors: Stephen P. Smith
Comments: 11 Pages.
The search for a unified ontology has long been divided between mathematical descriptions of external structure and phenomenological accounts of lived experience. This paper argues that an unexpected bridge between these domains may already exist within the elementary axioms of Lie algebra. The antisymmetry of the Lie bracket expresses a fundamental principle of two-sidedness, while the Jacobi identity introduces an irreducible triadic relation that stabilizes this polarity through algebraic closure. Together these axioms suggest a primitive logic of reciprocity and homeostasis that precedes geometric realization and therefore exists conceptually prior to spacetime structure. Building upon this observation, the paper explores structural correspondences between Lie algebra, Peircean semiotics, Friston's free energy principle, Hegelian dialectics, and CPT-symmetric cosmological models. In each case, a common pattern emerges: an initial unity gives rise to a dyadic tension whose persistence requires mediation by a third term capable of restoring coherence without eliminating difference. The resulting triadic structure functions as a homeostat, regulating relations across scales while preserving the integrity of the participating elements. The paper proposes that this recurring pattern may represent a scale-invariant principle of organization. While not offered as a physical theory, the framework provides a conceptual ontology in which meaning, symmetry, homeostasis, and semiosis emerge from a common relational architecture. The central thesis is that two-sidedness and triadic homeostasis are not late products of biological or cognitive evolution but may instead constitute primordial conditions for the existence of stable relational order.
Category: General Science and Philosophy
[10] ai.viXra.org:2606.0010 [pdf] submitted on 2026-06-04 19:54:57
Authors: Nico Kleff
Comments: 8 Pages. (Note by ai.viXra.org Admin: Some texts in Table 1 are cutoff!)
The Alcubierre warp metric requires negative energy density distributed around a spacecraft hull. We propose a conceptual architecture in which a spacecraft hull consists of a large-area array of nano-fabricated Casimir cavities, each within Ford-Roman quantum-inequality bounds, collectively producing an integrated negative energy density profile approximating the spatial boundary conditions of the Alcubierre metric. Segmented, addressable piezoelectric control of hull panels is proposed as a mechanism for dynamic shaping of the metric distortion, addressing the internal-controllability problem of the original warp-bubble scheme. We outline a six-layer nanofabrication stack (SiC substrate, TiN adhesion layer, Au conductor, Au-lined trench array, graphene monolayer, Al2O3 encapsulation), a scaling hypothesis linking per-tile Casimir output to hull-integrated negative energy density, and a four-phase experimental roadmap. No claim is made that the scheme will succeed; the contribution is a concrete, testable structural hypothesis connecting established Casimir physics to the open engineering problem of warp-metric generation.
Category: Relativity and Cosmology
[9] ai.viXra.org:2606.0009 [pdf] submitted on 2026-06-03 20:02:38
Authors: Haoxiang Yu
Comments: 11 Pages. See https://github.com/yhx-12243/Sidon3 for formalization
We determine the exact value of the Sidon constant of the four-element set {0,1,2,3} to be 5/3. The lower bound was established by Neuwirth via an explicit family of trigonometric polynomials; we prove the matching upper bound. Our proof introduces a new method: given a point on the unit circle we construct a cubic self-inversive polynomial whose three roots lie on the unit circle, extract positive real weights from these roots, and use a weighted square-sum identity to obtain the sharp estimate. The entire proof is formalized in Lean 4 using mathlib.
Category: Functions and Analysis
[8] ai.viXra.org:2606.0008 [pdf] submitted on 2026-06-03 19:50:46
Authors: James Francis Godwin
Comments: 8 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)
This paper proposes a cosmological framework in which the universe as we know it — one in which time exists and flows — is paired with a companion universe in which time does not exist. Analogous to the quantum mechanical creation and annihilation of particle/antiparticle pairs, these two universes came into existence together at the Big Bang from nothing, and will eventually annihilate each other, returning to nothing. The expansion of the temporal universe continuously stretches the timeless companion, which resists this stretching and exerts a restoring force. This paper proposes that this restoring force is the origin of gravity, and that the gravitational constant G is not truly constant but increases over time as expansion proceeds. This single underlying principle is shown to offer natural explanations for gravity, dark matter, quantum entanglement, wave-particle duality, the nature of light, the origin of supermassive black holes, the anomalous brightness of early galaxies observed by JWST, and an alternative interpretation of cosmological redshift that removes the need for dark energy. The framework prioritises simplicity and testability, and makes specific predictions that differ from the standard cosmological model (ΛCDM).
Category: Relativity and Cosmology
[7] ai.viXra.org:2606.0007 [pdf] submitted on 2026-06-02 21:04:11
Authors: Fusao Ishii
Comments: 26 Pages.
This paper derives two landmark predictions of quantum electrodynamics—the anomalous magnetic moment of the electron (g−2) and the Lamb shift of hydrogen—from the stochastic Coulomb field framework established in Papers 1—4 [1—4]. Both effects have the same physical origin: the zero-point radiation field (ZPF), derived in Paper 1 from the Coulomb virtual photon cloud via the Boltzmann ergodic theorem (proved in Paper 3 [3]), modifies the electron trajectory in two distinct physical situations. For the anomalous magnetic moment: the ZPF modifies the radius of the Zitterbewegung helix established in Paper 4, producing a correction to the bare g = 2 result. Integrating the ZPF spectral density SE(ω) = ℏω^3/6π^2ϵ0c^3 weighted by the time-ordering factor of the emission-reabsorption process gives the Schwinger term: ae ≡ (g − 2)/2 = α/2π ≈ 0.001 161, in agreement with the leading QED prediction and experiment. For the Lamb shift: the ZPF drives fluctuations in the electron’s position within the hydrogen atom. These fluctuations smear the electron over the Coulomb potential of the nucleus, producing an effective shift in the potential energy. Because the Laplacian of the Coulomb potential is proportional to a delta function at the origin, only s-states (l = 0) are shifted. Using the Compton cutoff ωc = mc^2/ℏ from Paper 1 and the orbital frequency as the lower cutoff, the energy shift of the 2S1/2 level is: ΔνLamb ≈ 1 040 MHz, compared with the experimental value of 1057.845 MHz—agreement to within 2% at first order. Together these results confirm that the stochastic Coulomb field framework reproduces the two most celebrated predictions of QED from purely classical foundations.
Category: Quantum Physics
[6] ai.viXra.org:2606.0006 [pdf] submitted on 2026-06-02 20:55:35
Authors: Hacı Soğukpınar
Comments: 45 Pages.
The Unified Fractal Quantum Field Theory (UFQFT) proposes a resonance-geometric framework in which matter, interactions, spacetime, and cosmology emerge from the dynamics of two fundamental fields: the energy field (Φ) and the charge field (Ψ), embedded within a fractal spacetime characterized by a critical effective Hausdorff dimension of D ≈ 2.7. In this paradigm, elementary particles are not fundamental point-like entities but stable resonance configurations of coupled Φ—Ψ fields, while mass, charge, spin, and particle stability arise from fractal resonance structure and dimensional localization. The theory identifies D ≈ 2.7 as a critical threshold at which confinement, long-range interactions, temporal evolution, and stable matter coexist, providing a unified geometric explanation for the emergence of ordinary matter, dark matter, dark energy, and the arrow of time. Gravity is reinterpreted as an emergent symmetry-restoring response of the fractal field, whereas electromagnetic, weak, and strong interactions arise from distinct resonance modes and topological transitions of the same underlying field system. UFQFT further extends naturally to nuclear structure, halo nuclei, neutrino oscillations, CP violation, baryogenesis, black-hole interiors, neutron stars, and bubble cosmology, offering a common geometric origin for phenomena traditionally described by separate theoretical frameworks. A scale-dependent dimensional flow from microscopic fractal regimes to macroscopic classical geometry establishes a UV—IR bridge linking particle physics with cosmological structure formation and large-scale dynamics. The framework yields a broad range of experimentally testable predictions, including fractal corrections to particle lifetimes and scattering processes, modifications to neutrino oscillation patterns, sub-millimeter deviations from Newtonian gravity, distinctive signatures in halo nuclei, scale-dependent suppression of the cosmological matter power spectrum, non-standard gravitational-wave propagation, and observable imprints in future cosmological surveys and precision laboratory experiments. Collectively, UFQFT suggests that the Universe is fundamentally a hierarchy of resonant geometric structures rather than a collection of elementary particles and forces, providing a unified and falsifiable pathway toward the geometric unification of quantum physics, gravitation, and cosmology.
Category: Astrophysics
[5] ai.viXra.org:2606.0005 [pdf] replaced on 2026-06-03 15:32:02
Authors: Filippo Leone
Comments: 14 Pages.
The present work proposes a phenomenological framework describing dynamical processes potentially leading to the formation of localized, self-sustaining, metastable energy configurations depending on the vacuum recombination processes, hereafter referred to as Localized Energy Configurations (hereafter referred to as LEC for brevity). Depending on the surrounding dynamical conditions, such configurations may exhibit either expansive or mass-like behavior.This work does not intend to present a complete physical theory nor a rigorous mathematical treatment. Its purpose is to introduce a coherent conceptual framework that may constitute a possible starting point for subsequent theoretical developments.The mathematical formulations presented herein are exclusively phenomenological and descriptive in nature. Any advanced formalization within the framework of Quantum Field Theory or General Relativity lies beyond the scope of the present work.The concepts and the general structure of the model may be freely used as a basis for possible future theoretical investigations.The present work is ideally positioned as a dialogue between intuition and formalism, closer to an exploratory reflection than to a traditional academic treatment.
Category: Relativity and Cosmology
[4] ai.viXra.org:2606.0004 [pdf] submitted on 2026-06-02 00:36:21
Authors: Carlos Mauricio Santacruz Elizondo
Comments: 9 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
The Theory of the Empty Universe (TEU) proposes that gravity emerges from a differential deformation of space-time. In this framework, particles preserve an internal deformation state associated with their formation epoch, while the external vacuum continues to deform as the universe expands. This article develops a preliminary phenomenological model connecting ancient-photon solar-deflection residualswith an effective photon gravitational susceptibility and a time-dependent gravitational coupling. Motivated by the high-redshift quasar 0229+131 and the comparisonsource 0235+164, the observed residual is represented by a dimensionless parametes.
Category: Relativity and Cosmology
[3] ai.viXra.org:2606.0003 [pdf] submitted on 2026-06-01 20:12:31
Authors: Moninder Singh Modgil, Dnyandeo Dattatray Patil
Comments: 10 Pages.
We construct a unified mechanism in which Electrical Energy Extraction by Rotation of Earth via Torsion (EEERET) acts as the control parameter of a phase-transition-like dynamical system whose order parameter is the sign of large-scale rotation. The construction proceeds in five steps. First, in a rotating background of GRBMORS type (G¨odel—Rindler—Brahe—Maxwell—Obukhov—Randall—Sundrum), the relative daily angular velocity between the Earth and the cosmological frame sources a torsion-induced four-current JμI . Second, this currentfeeds the covariant Maxwell equations and drives an instability whose pseudoscalar invariant I2 = Fμν e Fμν grows secularly. Third, the pseudoscalar invariant defines an effective electromagnetic chemical potential μEM that tilts the symmetric Mexican-Hat potential governing the rotational order parameter R and renders rotation reversal directed rather than symmetric. Fourth, when μEM crosses the cusp-catastrophe threshold |μc| = (8/3 √3)λR30 thebarrier collapses, producing the rapid rotation-reversal (RRR) regime, distinct from the gradual rotation-reversal (RR) regime in which a finite barrier survives. Fifth, the construction is shown to be frame-equivalent: the sameobservable consequences obtain whether one treats the Earth as rotating in a non-rotating cosmos, or treats the universe as rotating around a non-rotating Earth, because only the relative angular velocity Ωrel = ΩE − ΩUenters the source term. We give explicit RR and RRR onset times, indicate the role of a superconducting loop as a coherent realization of the mechanism, and list observational and laboratory signatures. The framework relies on, and complements, the chiral wave-function and conformally compactified Romano—Goebel construction developed in a companion preprint.
Category: Relativity and Cosmology
[2] ai.viXra.org:2606.0002 [pdf] submitted on 2026-06-01 20:10:29
Authors: Keiji Yoshimura
Comments: 10 Pages.
Generative AI enables non-experts to rapidly produce papers, code, figures, repositories, quality-assurance documents, and submission metadata. This capacity can widen access to knowledge production, but it also creates a risk that artifact completeness is mistaken for domain validity. This manuscript presents a reflexive case study of two AI-assisted research attempts conducted by the author: a lithium-ion battery-model audit and an A10-derived Hubble-tension scaffold audit. In the battery case, an initially technology-oriented project was reduced to a residual-drift audit of simplified PyBaMM models against external discharge time series. Claims about safe charging, practical battery-management-system readiness, degradation reduction, lithium-plating avoidance, and real-cell validation were explicitly prohibited. In the Hubble case, a cosmological scaffold failed to establish a first-principles physical E(z)/H(z) bridge and therefore stopped before real-data likelihoods, MCMC, posterior comparison, or evidence evaluation. Across two distinct domains, the same pattern appeared: AI inflated research artifacts, but strict grounding checks reduced them to claim-boundary and failure-boundary records. This manuscript does not argue that AI-assisted research is useless, nor does it evaluate expert-led AI science. It argues that non-expert AI-assisted research requires explicit domain-grounding, prior-art, external-data, implementation-or-experiment, expert-review-worthiness, and public-claim-boundary gates before public claims are made.
Category: Artificial Intelligence
[1] ai.viXra.org:2606.0001 [pdf] submitted on 2026-06-01 19:06:25
Authors: Stephane H Maes, Andrey Ryabov, Ramu Sunkara
Comments: 9 Pages. All related details of the projects (and updates) can be found and followed at https://shmaes.wordpress.com/
This position paper argues that static tool-registry protocols, most prominently the Model Context Protocol (MCP), are unsuitable as foundational integration architectures for production-grade agentic AI in heterogeneous enterprise environments, and that the field should converge on "Real-Time Discovery and (Self) Coding" (RTDC) Integration as the necessary architectural alternative. MCP was introduced to standardize connections between language models and external systems through a uniform JSON-RPC 2.0 client-server interface. Despite rapid adoption in developer tooling, we demonstrate that MCP doubles the enterprise integration maintenance and vulnerability surfaces, fails categorically against legacy systems that harbor the most critical enterprise data, exhausts language model context windows through static tool enumeration at production scale, induces selection collapse in large tool registries, and introduces security vulnerabilities, including tool poisoning, prompt injection, and supply chain compromise. These are fundamentally incompatible with enterprise zero-trust architectures. We survey three alternative paradigms: user-interface automation, real-time context lake architectures, and terminal agents. We show that each resolves only a subset of the enterprise integration challenge. We then argue for RTDC Integration: a paradigm in which autonomous meta-agents dynamically discover system interfaces, and schemas, at runtime, synthesize and validate integration code in sandboxed execution environments, and accumulate versioned, reusable capability artifacts through a continuous discovery-synthesize-verify-promote loop. Unlike static protocol registries, RTDC integrates with legacy mainframes, undocumented APIs, and proprietary systems without prior engineering effort, and enables the eventual decommissioning of those systems through autonomous logic internalization. This is a capability no protocol-based approach can provide.
Category: Artificial Intelligence