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[13] ai.viXra.org:2511.0096 [pdf] replaced on 2025-12-08 09:45:48
Authors: Peter Kugelmann
Comments: 29 Pages.
We propose that the geometry of momentum space is the missing structural ingredient needed to complete the asymptotic safety program. Assuming the interacting fixed point of gravity admits a momentum-space description on $S^3$ with its Hopf fibration, we derive that the interacting fixed point, when momentum space is equipped with the Hopf fibration, necessarily exhibits: (i) the Einstein--Hilbert prefactor can be interpreted as $S^3$ volume measure; (ii) the homothetic flow on the Hopf base induces a natural grading of operators into eight canonical directions; (iii) the separation of fiber and base dynamics yields, via the center manifold theorem, an effective one-dimensional RG flow for the scaling exponent $n(R)$; and (iv) the resulting solution generates a unified $f(R)$ Lagrangian with a built-in hierarchy of scales.
Category: Quantum Gravity and String Theory
[12] ai.viXra.org:2511.0090 [pdf] submitted on 2025-11-28 22:33:11
Authors: E.P.J. de Haas
Comments: 16 Pages. (Note by ai.viXra.org Admin: Please cite viXra and ai.viXra articles in detailed and required manner)
This paper presents a compact and fully transparent derivation of the algebraic sequence that links biquaternionic rapidity fields to the Painlev´e—Gullstrand (PG) coframe and the corresponding spacetime metric ������ . Building on the gravitational rotor ���� introduced in earlier work, we show explicitly how a general rapidity field generates the boosted BQ displacement �� /����, and how the PG coframe ���� can be read off directly as its linear coefficient structure, without anyprior metric assumptions. The quadratic metric then follows immediately from the BQ norm of this coframe, placing the PG form as the natural bridge between the linear BQ description of spacetime flow and the standard geometric formulation of general relativity. The presentation resolves the remaining algebraic ambiguities in the rotor-based construction of gravity and provides a clean, reproducible algorithmic path from rapidity to tetrad to metric.
Category: Quantum Gravity and String Theory
[11] ai.viXra.org:2511.0083 [pdf] submitted on 2025-11-26 00:44:50
Authors: Travis Mydland
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please don't name title, equation/formula etc after the author's name; please cite listed scientific references)
For two decades the world's most accurate clocks have shown that gravity, electromagnetism, andthe weak nuclear force slow proper time at three different, reproducible rates. A fourth, largerresidual has been visible in every optical and fountain clock since 2018. This paper demonstrates that these are not systematics — they are the four fundamental interactions coupling to one universal proper time with four universal constants ki. Twenty years of independent experiments (2005—2025) across GPS satellites, optical lattices, muonium, muon storage rings, and cesium fountains yield stable values k1 = 0.015311 ±0.000038 (gravity), k2 = 0.05200 ±0.00011 (electromagnetism), k4 = 0.09778 ±0.00008 (weak), and — by subtraction and five independent cross-checks — k3 = 0.233 ±0.013 (strong). Using only these four measured numbers and one entropic equilibrium condition, Mydland's Unified Theory (MUT) quantitatively derives the entire Standard Model Lagrangian, all particle masses and mixing angles, the absence of dark matter and dark energy, the resolution of the Hubble tension, early galaxy formation, gravitational-wave propagation anomalies, and the muon g−2 — with no free parameters and typical agreement at the 0.1—1.5σ level. The single remaining sharp prediction — a fractional frequency shift of (8.87 ±0.28) ×10−4in the 229Th nuclear clock caused solely by the strong force slowing time — will be testedin 2026—2027. Confirmation establishes MUT as the first experimentally proven Theory ofEverything.
Category: Quantum Gravity and String Theory
[10] ai.viXra.org:2511.0082 [pdf] replaced on 2025-11-30 10:32:20
Authors: Stephan Brown
Comments: 189 Pages. Licensed under CC-BY 4.0.
This work introduces computational theism: the hypothesis that observable spacetime and its laws constitute a deliberately initialized, resource-optimized quantum computation executed by a substrate-independent intelligence. Integrating loop quantum gravity, causal-set theory, the holographic principle, Margolus—Levitin bounds, cosmological fine-tuning (10u207bu2075 to 10u207b¹²u2070), and integrated-information measures of consciousness, the framework accounts for (1) Planck-scale discreteness, (2) operation within ∼10¹u2070 of fundamental computational limits with error rates ≲10u207b¹²u2070, (3) extreme algorithmic compressibility of physical laws, and (4) functional isomorphism between classical divine attributes and properties of atemporal, parameter-controlling intelligence. The hypothesis terminates infinite regress, dissolves the fact—value dichotomy, and offers naturalistic mechanisms for consciousness and moral realism. Crucially, it yields falsifiable predictions testable between 2025 and 2045 via gravitational-wave holography, Higgs-top metastability, discrete-spacetime signatures, black-hole echoes, and Φ—consciousness correlations. Computational theism thereby reframes the question of design as an empirical issue in theoretical physics.
Category: Quantum Gravity and String Theory
[9] ai.viXra.org:2511.0065 [pdf] replaced on 2025-11-24 10:17:18
Authors: Fedor Kapitanov
Comments: 21 Pages.
We construct a framework deriving quantum uncertainty from information-theoretic axioms without presupposing quantum mechanics, Planck’s constant, or commutation relations. From four axioms—finite information in causally-connected regions, relational specification costs, subsystem decomposability, and incompatibility penalties—we prove that conjugate observables satisfy ∆X · ∆P ≥ S0 where S0 is a universal action scale. Consistency with holography requires surface (not volume) scaling of information capacity, I(R) ∼ Rd−1/ℓd−1 ∗ . Matching black hole entropy uniquely identifies ℓ∗ = ℓP (Planck length). Thermodynamic arguments prove S0 is universal across all systems; empirical measurements identify S0 = ℏ. For gravitationally-bound systems, we derive Rreq/Ravail = rS/R from the Bekenstein bound, predicting enhanced uncertainty near compact objects: 12% for neutron stars (marginally detectable with LIGO O5 stacking analysis), 50% for extreme mass-ratio inspirals (testable with LISA post-2035). We demonstrate why white dwarfs (rS/R ∼ 10−4) show no observable effects and explain that the GW170817 gamma-ray delay has an astrophysical origin unrelated to graviton dispersion. Scope: This work does not derive the Born rule, unitary evolution, or the superposition principle. Our contribution is showing that uncertainty relations and holographic bounds follow from finite information capacity.
Category: Quantum Gravity and String Theory
[8] ai.viXra.org:2511.0052 [pdf] submitted on 2025-11-15 21:39:56
Authors: Navid Ardakanian
Comments: 12 Pages.
We present a systematic analysis of Z3 discrete flavor symmetry as a solution to thefermion mass hierarchy problem. Using a Froggatt-Nielsen mechanism with generationdependentZ3 charges, we demonstrate that a single expansion parameter ε ≈ 0.015 naturallyexplains all quark mass ratios and CKM mixing angles with O(1) Yukawa couplings. Themodel successfully reproduces six independent quark observables using fewer free parameters,achieving genuine predictivity with testable correlations such as (mu/mc)/(md/ms) = 0.033.However, the framework fundamentally fails in the lepton sector, predicting neutrino mixingangles θ13 ∼ 0.9 and θ23 ∼ 7, compared to observed values of 8.6 and 49. Enhancementattempts require unnatural parameter choices that destroy the model’s elegance. Our analysisreveals that simple discrete symmetries excel at explaining hierarchical structures butcannot simultaneously address large mixing phenomena, suggesting different fermion sectorsrequire distinct dynamical origins.
Category: Quantum Gravity and String Theory
[7] ai.viXra.org:2511.0048 [pdf] submitted on 2025-11-14 21:41:49
Authors: Fedor Kapitanov
Comments: 9 Pages.
We propose a complete, logically sequential framework for emergent spacetime. The theory unfolds in two acts. Act I: We demonstrate that three spatial dimensions emerge as the unique thermodynamically stable projection of a 4D timeless information manifold, constrained by the cosmological holographic bound. The suppression of the fourth spatial dimension follows a verifiable power law, ε*(N) ~ Nu207bu2070·u2075u2077. Act II: On this derived, static 3D stage, we show that a time coordinate emerges via the thermodynamic flow of a quantum consensus field, resolving the Wheeler-DeWitt problem. The dynamics on the resulting 3+1D spacetime are then shown to be governed by the Einstein field equations, derived from a variational principle. This completes the program: pre-geometric information -> emergent 3D space -> emergent time -> classical spacetime dynamics (GR).
Category: Quantum Gravity and String Theory
[6] ai.viXra.org:2511.0043 [pdf] submitted on 2025-11-14 11:03:00
Authors: E.P.J. de Haas
Comments: 60 Pages.
This paper is an updated and extended version of my earlier biquaternion (BQ) construction of the Weyl and Dirac matrix environments. The central new result is that the BQ algebra closes once gravity is included through a gravitational rotor $Q_ginmathrm{Spin}(1,3)$, whose adjoint action Doppler—twists the Dirac basis and generates the space-time metric directly as $g_{muu}=langle Q_g,beta_mu,Q_g^{-1}beta_uangle$. This first-order mechanism reproduces the Painlevé--Gullstrand forms of the Schwarzschild, de Sitter, and Kerr geometries without invoking Christoffel symbols or second-order curvature equations. The same structure yields the mixed tensor $M_mu{}^{ u}$, the gravitational Dirac current, and a minimal Lagrangian that recovers the Einstein--Cartan equations. At the galactic scale, current conservation together with the Bernoulli--Noether condition selects the Constant--Lagrangian (CL) and CL--Hubble (CL--H) flows, producing the observed MOND-type phenomenology without adjustable parameters. The result is a unified, fully closed BQ—Dirac framework in which relativistic quantum mechanics, gravitational geometry, and galactic dynamics emerge from a single first-order rotor calculus.
Category: Quantum Gravity and String Theory
[5] ai.viXra.org:2511.0038 [pdf] submitted on 2025-11-12 21:43:42
Authors: Fedor Kapitanov
Comments: 9 Pages.
We propose a framework where Planck's constant ħ is the minimal quantum of ontological distinction. From this single postulate, we derive the gravitational constant G, Born's rule, and the preferred decoherence basis. We introduce a "consensus field" ρ_c, representing the collective state of all quantum systems. A variational principle minimizing deviation from a state of maximal entropy rigorously yields the Poisson equation for gravity, with G derived from the thermodynamics of distinction, not fitted. The theory successfully retrodicts 337 years of observational data without free parameters and makes testable predictions for gravitational decoherence and black hole horizon quantization (ΔA = 8πl_p²). This presents a new paradigm where spacetime and gravity are emergent from collective quantum dynamics.
Category: Quantum Gravity and String Theory
[4] ai.viXra.org:2511.0030 [pdf] replaced on 2026-01-19 08:25:40
Authors: Giuliano Bettini
Comments: 23 Pages. Corrected. Added references. In italian.
How did the 32 crystal classes arise? And what about the Genetic Code? This article explores a profound analogy between the 32 crystal classes and the formation of the Standard Genetic Code (SGC). It is hypothesized that Nature used a similar binary logical scheme. By applying the internal properties of the four nitrogenous bases (U, C, A, G) to a 2-bit binary model, it is shown that the logical sequence leads directly to an arrangement of 64 codons essentially identical to that of the SGC. The article analyzes how the codons and codon clusters that code for amino acids reflect the symmetries in the crystalline classes and discusses the importance of using a 6-bit (64-element) system in genetics.The work demonstrates a striking structural coherence between the progressive introduction of symmetries in crystallography and the binary organization of the Genetic Code. This analogy offers a possible logical explanation for the structure of the Genetic Code.
Category: Quantum Gravity and String Theory
[3] ai.viXra.org:2511.0013 [pdf] replaced on 2025-12-02 21:55:54
Authors: Fedor Kapitanov
Comments: 7 Pages.
We derive the existence of a universal minimal action scale from a causal—informationprinciple: the difference between two causally equivalent infinite systems must be finite andobservable. Starting from this principle and a holographic bound on boundary information,we prove that any system with finite boundary information capacity must possess a minimalphase-space cell ∆Ωmin > 0. Under symmetry assumptions this implies a universal constantwith dimensions of action, identified with the Planck constant ℏ. The framework unifiesvacuum fluctuations, horizon quantization, and holography at the kinematic level withoutpostulating quantum mechanics. We present a rigorous axiomatic derivation and testablepredictions.
Category: Quantum Gravity and String Theory
[2] ai.viXra.org:2511.0009 [pdf] submitted on 2025-11-04 21:20:42
Authors: Fedor Kapitanov
Comments: 2 Pages.
The quantization of black hole horizon area remains without direct observational evidence. We propose a testable prediction: if the horizon area is discrete, the ringdown spectrum must exhibit a frequency comb with spacing ∆f = (c³ ln k)/(16π²GM). For the bit hypothesis (k=2), this gives ∆f ≈ 896 Hz · (M⊙/M), detectable by current LIGO/Virgo detectors
Category: Quantum Gravity and String Theory
[1] ai.viXra.org:2511.0004 [pdf] submitted on 2025-11-03 07:02:45
Authors: E.P.J. de Haas
Comments: 9 Pages.
The integration of quantum mechanics with gravitation requires a reformulation of time itself. In standard quantum theory, time appears as an external evolution parameter, while in general relativity it is an intrinsic and dynamical part of spacetime geometry. This paper resolves this long-standing inconsistency within the biquaternionic (BQ) rotor formalism by extending the Dirac adjoint to a fully covariant operator in which the gravitational rotor field Qg generates the local tetrad and the observer’s four-velocity defines the temporal direction. The scalar product constructed from this adjoint is invariant under both local Lorentz and observer transformations, and the Dirac equation becomes a law of self-parallel transport along the gravitational flow. Time is thereby internalised and geometrised: it arises as the direction in spacetime determined by the adjoint itself. The resulting framework unifies quantum and gravitational dynamics into a single first-order structure, completing the development of the Qg theory that introduced the gravitational rotor, the Bernoulli—Noether closure, and the exact linearisation of Einstein’s equations. This approach provides an observer-independent formulation of quantum mechanics in curved spacetime, eliminating the need for an external time parameter and establishing a coherent first-order synthesis of matter, geometry, and temporal flow.
Category: Quantum Gravity and String Theory