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[8] ai.viXra.org:2510.0075 [pdf] submitted on 2025-10-30 08:17:51
Authors: E.P.J. de Haas
Comments: 24 Pages.
This study develops a first-order formulation of gravitation inside the Dirac-biquaternionic algebra, continuing a research programme that embeds the geometry of general relativity directly within the Dirac formalism. The gravitational field is represented by a rotor, denoted Qg, whose adjoint defines the local lapse and shift and thereby replaces the metric tensor of general relativity. The corresponding covariant derivative remains first order in derivatives, so that curvature arises as an internal commutator, making gravity an intrinsic property of the Dirac medium rather than an external geometry. From this structure emerges the Bernoulli—Noether Closure, a first-order constitutive law expressing the self-organisation of spacetime as an inviscid perfect fluid with constant total metric energy along each streamline. The stationary solutions of this law reproduce the Schwarzschild, Kerr, and Schwarzschild—de Sitter metrics as equilibrium configurations, while also admitting a new class of axisymmetric, irrotational "constant-Lagrangian spiral" solutions that account for the observed flat galactic rotation curves without invoking dark matter. In this framework, Einstein’s second-order field equations appear as the steady-state limit of the first-order rotor dynamics, and the conserved rapidity norm of the flow provides a direct thermodynamic interpretation of gravitational energy, entropy, and equilibrium. The resulting theory unifies quantum spinor dynamics, gravitational curvature, and large-scale galactic structure within a single algebraic principle, establishing the Qg—BNC formalism as a first-order, kinetic completion of general relativity.
Category: Quantum Gravity and String Theory
[7] ai.viXra.org:2510.0073 [pdf] submitted on 2025-10-28 20:52:56
Authors: E.P.J. de Haas
Comments: 23 Pages.
This paper extends earlier work on the biquaternionic (BQ) representation of the Dirac algebra by introducing the gravitational rotor field Qg (x) ∈ Spin(1, 3)C aand analysing its consequences for the structure of relativistic dynamics. The formalism distinguishes between the special-relativistic (Kinematic) boost, which acts on spinor components within a fixed background, and the gravitational (G-) boost, which acts on the basis itself through the adjoint /G = Qg.β0.Q^-1. This difference transforms the notion of curvature from an external geometric property into an internal rotation of the Dirac algebra. The resulting Dirac—Q Lagrangian is first order in derivatives and defines both the gravitational connection and its conserved current within the same algebra. General Relativity is recovered as a slow-field limit, while the formulation remains compatible with the Standard Model and quantum chromodynamics. The approach is exploratory: it proposes a compact algebraic framework in which geometry, mass, and quantisation emerge as interdependent aspects of a single Dirac medium.
Category: Quantum Gravity and String Theory
[6] ai.viXra.org:2510.0051 [pdf] replaced on 2025-11-26 00:36:02
Authors: Dale Spencer
Comments: 20 Pages. Added Preface v1.1
Time is treated here not as a fundamental parameter but as an emergent property arising from a system's structural coupling to the quantum vacuum. A probe's proper time is identified with its expected capacity to remain correlated with the accessible portion of the vacuum energy. Two postulates formalize this relationship. The first defines proper time as a strictly increasing functional of accessible vacuum energy, and the second enforces consistency for a free particle, requiring that the accessible vacuum energy remain constant along inertial worldlines. Together they imply a fixed energy—action balance, constraining the Hamiltonian and accessible vacuum energy as complementary aspects of a single invariant total.Variations in vacuum accessibility naturally reproduce the phenomena of time dilation and gravitational redshift, yielding the Lorentz and Schwarzschild relations without assuming time as a fundamental dimension. On cosmic scales, the same reciprocity accounts for the cosmological constant. The global deficit of accessible vacuum energy that General Relativity describes as curvature corresponds to the structural partitioning that gives rise to proper time itself.The theory yields falsifiable predictions. Engineered changes to the local vacuum density of states should produce measurable shifts in proper time between identical clocks or interferometric paths. In this view, relativistic time and gravitational curvature arise from a unified structural relationship between matter, the Hamiltonian, and the vacuum's capacity for interaction.
Category: Quantum Gravity and String Theory
[5] ai.viXra.org:2510.0041 [pdf] replaced on 2025-10-28 20:18:31
Authors: Vikram Hatti
Comments: 36 Pages. License: CC-BY 4.0 (Note by ai.viXra.org Admin: Please cite listed scientific references)
We propose a unified framework in which black hole evaporation, cosmic acceleration, galactic dark matter, and quantum time dilation all emerge from a single principle: horizons as temporal reservoirs that defer energy into the future rather than destroy it. In this view, matter and radiation projected onto horizons remain real but time-shifted, producing gravitational and electromagnetic effects in the present. --Black holes: Hawking radiation is reinterpreted as the gradual release of deferred matter. --Cosmic horizon: Accelerated degrees of freedom naturally yield a dark-energy density of order �� ∼ (��^��)/ �� --Galaxies: Locally sequestered baryonic energy behaves like pressure less dust, reproducing dark-matter—like halos. --Quantum horizon: In the massless limit �� → 0 proper time vanishes, and all energy is deferred across past and future sectors. Photons occupy this asymptote: from the external viewpoint, their present-time fields are the projection of an oscillatory time wave that links deferred past and future energy. Electromagnetism thus arises as the dynamic counterpart to gravity’s static curvature of deferred energy. This reinterpretation preserves information, reframes gravity and electromagnetism as complementary geometries of temporal delay, and offers observational discriminants: distinct black hole evaporation signatures, evolving dark-energy equations of state, halo profiles that deviate from ΛCDM, and laboratory-scale interference effects linked to the quantum horizon. By treating horizons not as one-way boundaries but as stores of deferred energy, we show that four of modern physics’ deepest mysteries may be connected manifestations of the same underlying mechanism.
Category: Quantum Gravity and String Theory
[4] ai.viXra.org:2510.0031 [pdf] submitted on 2025-10-12 19:53:04
Authors: Hitoshi Kadokura
Comments: 11 Pages. 3 figures, 2 tables. Code and data available at https://drive.google.com/drive/folders/1BYJGuT9jPriPne7dr_dNke-O56QAa7-8. Refines previous work: v1 at 2510.0014
The Cosmological Unified Theory (CUT) unifies dark matter, dark energy, quantum gravity, primordial black holes (PBHs), and the strong CP problem via a Planck-scale Chaos Sphere (R_c ≈ 10^{-35} m, D_f ≈ 1.80 ± 0.01). Using CAMB 1.5.6 with 2,000 Monte Carlo trials, simulations achieve 99.9% consistency with Planck 2018 (S_8 = 0.779 ± 0.0002), DESI 2024 (ρ_Λ ≈ 5.55 × 10^{-122}), and LISA (β_PBH = 3.68 × 10^{-7}). Predictions include Ω_DM h^2 ≈ 0.12, r ≈ 1.41 × 10^{-10}, and η_B ≈ 6.75 × 10^{-10}. The fractal spacetime, derived from string-theoretic D-brane collapse, provides a background-independent quantum gravity framework, testable by CMB-S4, LIGO O4, and EHT. This paper refines the scope from a previous work unifying 200+ problems (v1 at 2510.0014) to focus on five core problems for enhanced clarity and precision. Code and data: https://drive.google.com/drive/folders/1BYJGuT9jPriPne7dr_dNke-O56QAa7-8.
Category: Quantum Gravity and String Theory
[3] ai.viXra.org:2510.0028 [pdf] submitted on 2025-10-11 22:25:33
Authors: Eran Sinbar
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
This paper proposes a unified framework that integrates the Bekenstein—Hawking entropy bound, the holographic principle, and Planck-scale quantization within a de Sitter cosmological setting. We begin by demonstrating that entropy considerations imply a mathematically finite spatial radius for the universe. This constraint, combined with symmetrical arguments, leads to a natural quantization of spacetime into Planck-scale elements. By associating each elementary particle with a causal sphere of finite radius, we construct a holographic, staggered two-dimensional mesh supported by a non-local grid dimension. This model reconciles relativistic locality with quantum non-locality and offers a geometric foundation for understanding entanglement, gravity, and the holographic nature of reality. Notably, this construction appears to be the only viable method for reducing a three-dimensional de Sitter universe into a two-dimensional holographic framework while preserving full symmetry and locality across all frames of reference.
Category: Quantum Gravity and String Theory
[2] ai.viXra.org:2510.0026 [pdf] submitted on 2025-10-10 05:15:20
Authors: Evgenii Ianin
Comments: 17 Pages. CC-BY
Unifying quantum mechanics with gravity faces challenges like scale hierarchies, wavefunction collapse, and black hole information loss. Time Spheres Theory (TST) addressesthese by quantizing time in Planck-scale spheres evolving through superposition, entropyminimizing collapse, and fixation phases. This framework derives emergent spacetime, particle masses via temporal resonances, and quantum effects from geometric phases without freeparameters. Testable predictions include Higgs mass 125.12 GeV (consistent with HL-LHC2025), baryon asymmetry 5.8 × 10−10 (Planck 2025), and noise modulations in interferometers. Treating entropy as a dynamic field, TST offers a parsimonious, parameter-freeframework resolving longstanding paradoxes.
Category: Quantum Gravity and String Theory
[1] ai.viXra.org:2510.0014 [pdf] submitted on 2025-10-07 18:02:22
Authors: Hitoshi Kadokura
Comments: 28 Pages.
CUT posits the Chaos Sphere (R_c ≈ 10^{-35} m) as the universe's origin, an energy lump where quanta emerge via denaturation under high temperature/pressure for heavy particles (e.g., Higgs) and wave interference for light particles (e.g., neutrinos), endowing extradimensional properties. This mechanism unifies 200+ unsolved problems, including strong CP (θ_eff ≈ 3.07×10^{-39}), dark matter (Ω_DM h^2 ≈ 0.12), quantum Zeno (τ_Zeno ≈ 10^{-12} s), wormhole energy (ΔE_wormhole ≈ 10^{-18} GeV), cosmic strings (Gμ ≈ 10^{-7}), and cyclic universe (τ_cycle ≈ 10^{100} yr), without fine-tuning. Monte Carlo simulations (5,000 trials, χ^2/dof ≈ 0.980) match Planck 2018, LISA, and KATRIN data, resolving ToE bottlenecks by elucidating quantum origins and surpassing string theory/ΛCDM.
Category: Quantum Gravity and String Theory