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[4] ai.viXra.org:2512.0106 [pdf] submitted on 2025-12-31 10:02:49
Authors: G. Furne Gouveia
Comments: 6 Pages.
Koide’s formula, which relates with remarkable precision the masses of the three charged leptons, remains without a convincing explanation within the framework of standard particle theories. In this article, we show that this relation admits a natural interpretation within an alternative paradigm in which space is described as a physical medium endowed with intrinsic mechanical properties. We propose that the three generations of charged leptons correspond to fundamental excitations associated with three directional rigidities of an anisotropic space-medium, subject to a global redistribution constraint. The trigonometric parametrization of Koide’s formula then appears as the general solution of a simple constitutive law under constraint. Within this framework, the observed instability and decay hierarchy of the heavier charged leptons arise naturally as a relaxation of higher-energy vibrational modes toward lower-rigidity directions. The cosmological and conceptual implications of this interpretation are discussed, including a possible connection with a cyclic multiverse dynamics based on non-singular bounces.
Category: High Energy Particle Physics
[3] ai.viXra.org:2512.0066 [pdf] replaced on 2025-12-23 13:19:33
Authors: Binyamin Tsadik Bair Moshe
Comments: 29 Pages.
We propose the Relational Harmonics Model (RHM) in which spin, electric charge, and color are represented as relational phases organized across three coupled harmonic layers: L1 (base persistence and spinor structure), L2 (charge phase), and L3 (color phase). Fractional charges (e/3, 2e/3) are mapped to stable phase projections from a regular tetrahedral geometry relative to a leptonic reference, yielding the invariant factor cos(theta) = -1/3. Color singlets correspond to vector closure in L3. Rest mass is interpreted as inter-layer coupling tension, with relativistic kinematics as harmonic consistency constraints. The RHM is positioned as a structural ontology complementing quantum field theory. Speculative extensions to cosmological radio backgrounds are briefly discussed.
Category: High Energy Particle Physics
[2] ai.viXra.org:2512.0009 [pdf] submitted on 2025-12-02 23:55:11
Authors: Aleksandras Kaliberda
Comments: 22 pages, 5 figures. Developed with AI assistance (Claude, Gemini). Code at https://github.com/gubasas/MRRC_Framework. CC BY 4.0
We present version 6.0 of the Minimal Recorded Relational Change (MRRC)framework, which derives fundamental constants and fermion mass patterns fromthe geometric structure of 4-dimensional information processing. Building on theV5.1 information-theoretic foundation (4-tuple morphism on hypersurfaces), V6identifies the 24-cell polytope as the geometric realization of minimal relationalrecording in 4D space.The framework begins with the 24-cell, the unique regular 4D polytope exhibit-ing F4 exceptional Lie group symmetry, from which we derive the fine-structureconstant α−1 = 137.036 (0.27 ppm accuracy) and the Koide formula ratio Q = 2/3from geometric first principles. The 4D sphere relationship 4π3 + π2 + π ≈137.13(within 0.07% of α−1), which motivated the original MRRC framework, emergesnaturally from the volumetric-to-surface ratio of information maintenance in 4Dmorphisms.We propose that generation structure follows a quadratic spiral pattern p(n) =a·n−b·n2 in 4D phase space, with coefficients determined by fundamental constants:a ≈α−1/10 and b ≈φ2 (golden ratio squared). For quarks, we hypothesize distinctpolygonal symmetries: hexagonal (6-fold) for up-type quarks and pentagonal (5-fold) for down-type quarks, motivated by QCD’s hexagonal weight diagrams andthe exact geometric identity sin(54) = φ/2.The framework makes an independent prediction: heptagonal (7-fold) symmetryyields coefficient 17.2, matching the top quark mass (172.76 GeV) with 0.4% accu-racy—a prediction notfitted to quark data. Critically, the framework also predictsfailures: triangular symmetry shows no physical correspondence, while octagonalsymmetry may predict MSSM Higgs bosons at ∼196 GeV (untested).While several connections require further theoretical development, the frame-work’s ability to both predict new physics and fail for certain geometries suggeststhat fermion masses may emerge from projections of 4D geometric informationprocessing constraints.
Category: High Energy Particle Physics
[1] ai.viXra.org:2512.0002 [pdf] submitted on 2025-12-01 16:52:20
Authors: Aoi Setsu
Comments: 5 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
We propose a minimal mechanism through which particle families arise naturally froma layered tension field. The coupled layers produce a set of discrete eigenmodes, and eacheigenmode becomes a stable nonlinear soliton when the field is promoted to a weakly interactingregime. These soliton branches acquire distinct energies through geometric phasedifferences across layers, yielding mass hierarchies and flavor-like mixing without introducingfundamental scalar fields or arbitrary Yukawa parameters. Because the number of stableeigenmode branches is fixed by the finite layer structure, the framework predicts exactlythree particle generations as the most stable configuration. This provides a simple fieldtheoreticorigin for the observed family replication and mass spectra.
Category: High Energy Particle Physics