High Energy Particle Physics

2602 Submissions

[7] ai.viXra.org:2602.0126 [pdf] submitted on 2026-02-28 01:17:13

Galois Quantum Gravity: The Algebraic Geometry of the Standard Model Vacuum

Authors: Herman Herstad Nythe
Comments: 100 Pages.

This paper presents a discrete algebraic framework that models the Standard Model vacuum not as a continuous smooth manifold, but as a fault-tolerant topological surface code based on the genus-3 Klein quartic and its automorphism group, PSL(2,7). By reducing continuous phenomenological parameters to exact topological and finite-field invariants, we provide rigorous mathematical resolutions to several enduring anomalies in particle physics. First, the fine-structure constant is derived topologically as 137 and verified dynamically via Migdal's real-space renormalization on the F₇ lattice, yielding an effective coupling of 136.724. Second, the existence of exactly three fermion generations is proven to be an unavoidable acoustic resonance: the exact 3χ₇ permutation triplicity of the 56-node vacuum adjacency spectrum. Third, the empirical Koide mass formula is structurally resolved; its amplitude parameter √2 emerges as the eigenvalue of the graph's holomorphic cusp forms, while its phase is the exact geometric invariant δ = 2/g² = 2/9 ≈ 12.732°. Finally, we demonstrate that the surface code constraints autonomously generate the adjoint representation of E₆, while the Dirac sea (the negative eigenvalue sector) of the matter graph perfectly reconstructs the symmetric tensor of the octonionic automorphism group G₂. By transitioning from continuous differential equations to discrete arithmetic, Galois Quantum Gravity suggests that the Standard Model is the macroscopic shadow of a finite-field quantum algorithm.
Category: High Energy Particle Physics

[6] ai.viXra.org:2602.0121 [pdf] submitted on 2026-02-26 21:18:10

The Speckmann Lattice Resonance Theory (SLRT): A Geometric Derivation of Lepton Masses, Dark Energy, and the Inverse Fractal Block Universe

Authors: Daniel Speckmann
Comments: 5 Pages.

The Speckmann Lattice Resonance Theory (SLRT) presents a novel unified framework for particle physics and cosmology based on an Inverse Fractal Block Universe (IFB). We propose that the three generations of elementary leptons and neutrinos are not fundamental point particles, but discrete resonance modes of a $3 times 3$ toroidal lattice geometry. By mapping the transition between cubic ($Gamma_{EM}$) and hexagonal ($Gamma_{W}$) lattice symmetries, we provide a purely geometric derivation of the Koide mass relation and the electroweak mixing angle ($sin^2 theta_W approx 1/3$). Furthermore, we identify Dark Energy as the residual elastic tension (frustration) of the lattice, attenuated by a fractal inversion factor across 120 orders of magnitude. Dark Matter is characterized as non-resonant, high-order lattice oscillations. This model reduces the 26 free parameters of the Standard Model to fundamental geometric constants, offering a deterministic solution to the cosmological constant problem and the hierarchy problem.
Category: High Energy Particle Physics

[5] ai.viXra.org:2602.0120 [pdf] submitted on 2026-02-26 16:27:44

The Hessian of the G2 3-Form on the Grassmannian, a Geometric Ratio Matching the Koide Angle, and Two Obstruction Theorems

Authors: P. Music
Comments: 7 Pages.

We compute the Hessian of the G2 3-form restricted to Gr(3,R^6) at the flavour-symmetric point, obtaining eigenvalues 0^5, (-2 phi_0)^3, (-3 phi_0)^1. The geometric ratio |lambda_{Lambda^2}| / |Delta f / phi_0| = 2/9 matches the empirical Brannen-Koide phase to 0.02%. We prove two obstruction theorems: (1) since cos(2/3) is transcendental (Lindemann-Weierstrass), no symmetric polynomial in the mass eigenvalues with algebraic coefficients can select delta = 2/9 as an extremum; (2) any topological flux quantisation mechanism produces phases that are rational multiples of pi, for which cos(3 delta) is algebraic, and is therefore also excluded. A one-loop effective potential calculation independently rules out perturbative selection. These results establish that the Koide phase, if exactly 2/9, cannot arise from any polynomial potential, standard topological mechanism, or perturbative dynamics.
Category: High Energy Particle Physics

[4] ai.viXra.org:2602.0108 [pdf] submitted on 2026-02-23 11:26:21

Octonionic Geometry and the Koide Angle: A Derivation from G2 Casimir Invariants with Neutrino Mass Predictions

Authors: P. Music
Comments: 4 Pages.

The Koide formula relates the masses of the three charged leptons through the parameter Q = 2/3 and an angle theta ~ 0.2222. We derive theta = 2/9 as the ratio of quadratic Casimir invariants C_2(3)/C_2(Sym^3(3)) = (4/3)/6 within the natural embedding SU(3) in G_2 = Aut(O), where the G_2 associative 3-form evaluated on the fermion 3-plane determines cos(3*theta). The agreement with PDG data is 0.009% (< 1 sigma). Extending the construction to neutrinos via the adjoint representation, we conjecture theta_nu = C_2(8)/C_2(Sym^3(3)) = 1/2, predicting Sum(m_i) = 70.9 +/- 0.4 meV in normal hierarchy, testable by Euclid, CMB-S4, LEGEND, and nEXO within the coming years.
Category: High Energy Particle Physics

[3] ai.viXra.org:2602.0104 [pdf] submitted on 2026-02-22 02:50:56

Foundations of Fractalic Field Theory: Quantum Gravity as the Origin of Fundamental Constants

Authors: M. I. Gallardo Nicolalde
Comments: 5 Pages. (Note by ai.viXra.org Admin: Part of the texts are cutoff)

We introduce Fractalic Field Theory (FFT), a complete framework where the fractal geometry of spacetime at quantum gravity scales determines all physical laws. The central object is the fractalic dimension D = 2.7268, emerging from quantum gravity as a fixed point of therenormalization group flow. From this single geometric invariant, we derive: (i) α−1 = 137.036, (ii) αs(MZ ) = 0.1181, (iii) sin2 θW = 0.2314, (iv) the Kaluza-Klein spectrum mn = n1/D /R with m1 = 9.73 TeV, and (v) cosmological parameters including ΩDMh2 = 0.120 and ns = 0.965. FFT represents a paradigm shift from symmetry-based to geometry-based unification, predicting 32 experimentally testable quantities with unprecedented accuracy using zero adjustable parameters.
Category: High Energy Particle Physics

[2] ai.viXra.org:2602.0031 [pdf] submitted on 2026-02-08 00:43:03

Entanglement Tension and Brane Secession: A Holographic Framework for Emergent Gravity and Mass

Authors: Cesar Henriques
Comments: 22 Pages.

We present a holographic framework in which four-dimensional spacetime emerges from quantum entanglement structure encoded on a brane embedded in asymptotically AdS space [1]. Mass is not fundamental but is identified with topological entanglement complexity—knot complexity Ck—quantifying irreducible multipar-tite correlations [3]. Gravitational interaction emerges as the macroscopic response to gradients in entanglement tension along the holographic direction [4], reducing to Einstein’s equations at low complexity with an additional non-local stress contribution from diffuse entanglement structure [5]. We propose that classical spacetime singularities signal saturation of entanglement capacity at a critical threshold Ck,max, analogous to the Bekenstein—Hawkingbound [6, 7]. Beyond this regime, the system undergoes a topological transition—brane secession—whereby the saturated region disconnects from the parent structure and nucleates an independent spacetime [2, 8]. This provides a natural regularization mechanism: from the exterior perspective, a black hole forms; from the interior perspective, a smooth cosmological expansion emerges, unifying collapse and cosmogenesis as dual descriptions of a single entanglement reorganization. We demonstrate structural consistency through explicit toy-model calculations in finite tensor networks (Appendices A—B) and present a simplified phenomenological realization showing how diffuse entanglement tension reproduces flat galactic rotation curves without dark matter particles (Section 5.3). The framework offersa unified interpretive scheme for mass, gravity, and dark-sector phenomenology as emergent consequences of quantum correlation structure, while remaining compatible with established results in holography, semiclassical gravity, and observational cosmology [1, 2, 6].
Category: High Energy Particle Physics

[1] ai.viXra.org:2602.0029 [pdf] submitted on 2026-02-08 00:47:19

Resolving Lepton Anomalies via Directed Dimensional Lattice Geometry

Authors: Alimi Ayomide Olamilekan
Comments: 6 Pages.

We demonstrate that the muon anomalous magnetic moment discrepancy (127 parts per billion) and the proton radius puzzle arise from a common discrete geometric origin within the Directed Dimensional Lattice (DDL) framework. By modeling spacetime as a 24-cell (F4) lattice rather than a continuous manifold, we derive the muon anomaly as a "polygon tax" from finite harmoniccycles of N = 3600 nodes. This value emerges naturally from the hierarchical partition of the 120-cell into 25 disjoint 24-cells, combined with 6-fold phase updates required by SO(4) holonomy. Concurrently, the 24-cell symmetry predicts the muonic proton radius as Rµ = Re(1 − 1/24) = 0.841 fm. The exact integer ratio 3600/24 = 150 suggests phase-locked coupling between lepton dynamics and lattice geometry. These predictions are jointly testable via the MUonE experiment, providing definitive validation or falsification of the DDL framework without requiring beyond-Standard-Model particles.
Category: High Energy Particle Physics