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[3] ai.viXra.org:2604.0073 [pdf] submitted on 2026-04-19 00:10:35
Authors: Vladimir Trifonov, Philip V. Trifonov
Comments: 6 Pages.
We present a fully geometric, parameter-free derivation of the origin of all matter — ordinary baryons, dark-matter halos, and the particle mass spectrum — within hyperhamiltonian quantum mechanics (HHQM). In this approach we utilize the correspondence between three consistent paradigms R, C, H, of the observer and the three particle generations. A single object, the mascon, emerges as a localized defect of measure equivalence between the Haar (structural) and Lebesgue (metric) measures on the quaternionic monocosm ��∘. At the universal crossover scale ��∗=��−1, the same visibility kernel ��(��)=Σ(��)⋅Πtime(Σ(��)=��/(1+��)2, Πtime=1/2) that already produces the observed baryon-to-dark-matter ratio ΩDM/Ω��≈5.4 and the fine-structure constant ��−1≈137.036 in the cosmological setting now weights the microscopic Haar excess. The resulting mass spectrum is purely geometric: ����,��,��=��(2��+1)����⋅(5/27)⋅(1+����), where �� counts discrete logarithmic Haar shells, �� labels ����(2) fiber irreps, ���� are the paradigm volumes {2,2��,2��2}, and ���� is the exact vista correction derived from kernel curvature (identical to the �� term in the �� prediction). Dark-matter halos are the same mascons viewed in the pure Haar regime. No new particles, no vacuum density scale, no free parameters. The framework closes the gap between the macroscopic two-measure cosmology and the microscopic particle-core structure of nonzero quaternions, restoring strict geometric consistency across all scales.
Category: Quantum Gravity and String Theory
[2] ai.viXra.org:2604.0043 [pdf] submitted on 2026-04-10 09:20:19
Authors: Xiangqian Zhang, Mingming Zhao, Linchao Ge
Comments: 7 Pages.
The Standard Model of modern physics contains dozens of free parameters that cannot be derived from firstprinciples, among which the gravitational constantand the vacuum permittivity are regarded as independent fundamental constants. Basedon the "Topological Residual Theory" (TRT), this paper establishes the "spatial right-handedcylindrical spiral motion at the speed of light" as the first postulate. By introducing Helmholtz'svortex theorems from fluid dynamics, we construct a physical picture of local topologicalenergy equilibrium between gravity and electromagnetism. Furthermore, utilizing the spiralpath ratio (the inverse of the fine-structure constant) and the speed of light , we propose across-dimensional constant absorption mechanism. Strict mathematical derivationsdemonstrate that and are not independent empirical parameters, but rather geometricresidual projections of the same spatial spiral fluid at different topological levels, satisfying theexact algebraic relationship . This research provides a novel, pure geometricparadigm for the grand unification of macroscopic gravity and microscopic electromagnetism.
Category: Quantum Gravity and String Theory
[1] ai.viXra.org:2604.0009 [pdf] replaced on 2026-04-17 00:20:18
Authors: Aaron Lee Alai
Comments: 52 Pages.
We present a unified theoretical framework — Displacement Spacetime (DST) — in which all fundamental interactions emerge from two geometric axioms: mass is the radial displacement of spacetime, and charge is its rotational displacement. The framework originates in an exact mathematical identity connecting moiré interference patterns to measurements of the quantum Wigner characteristic function [1], numerically verified against five published quantum state experiments to six decimal places.From these two axioms, supplemented by the topology of SO(3) and the geometry of the displacement manifolds, the following results are derived without free parameters: the fine structure constant α = 3/(8 ln(m_Pl/m_e)) to 0.27% at one loop; three generations of matter from the Euler characteristic of CP²; sin²θ_W = 3/8 from SU(5) selection; the Koide lepton mass relation to 0.001%; the proton-to-electron mass ratio m_p/m_e = 6πu2075 to 0.002%; the CP violation phase δ_CP = arctan(8/π) to 0.28%; dark matter mass m_DM = m_e = 511 keV from rotational-radial coupling; the strong coupling α_s × ln(m_Pl/m_e) = 2π/ln(2πu2075) to 0.39% at the Planck scale; the weak coupling α_W × ln(m_Pl/m_e) = 1 from EM and the Weinberg angle; and spin-1/2 uniqueness for all fundamental charged matter from three independent proofs. All four fundamental couplings are now derived from two independent geometric measures.A 0.27% residual appears consistently across multiple independent calculations. This residual is identified as a self-referential correction: α corrects the formula that determines α. The exact corrected formula is α = (3/8)/(ln(m_Pl/m_e) − 9/64), accurate to 0.002%. The consistency of this single correction across all predictions constitutes the principal structural evidence for the framework's validity. Falsifiable experimental predictions are catalogued, including a dark matter detection cross-section and deviations from Standard Model neutrino mixing.
Category: Quantum Gravity and String Theory