High Energy Particle Physics

2605 Submissions

[3] ai.viXra.org:2605.0058 [pdf] replaced on 2026-07-09 14:26:51

Empirical Relations Between Quark Mass Ratios and CKM Mixing Angles

Authors: Belkacem Lichani
Comments: 5 Pages. Intéressant

We document a numerical regularity in PDG data: the three mixing angles of the CKMmatrix are approximately given by sin θij =pmi/mj , extending the historical Gatto-SartoriTonin(1968) relation for the Cabibbo angle to all three angles. Evaluated in the space ofpossible combinatorial configurations (C(15, 3) = 455 triplets of pairs), this configurationstands out with a statistical significance of p = 0.0022. Internal consistency is verifiedat 0.90σ by cross-extraction of the up quark mass. This relation is compatible with theFroggatt-Nielsen (1979) mechanism — it corresponds to an ordinary U(1) charge assignmentamong other valid configurations, without exceptional character. The real positive texturecannot generate a complex phase; the relation |sin δCP (CKM)| = mW /mZ (δCP ≈ 61.82◦) isa distinct conjecture, testable by future LHCb and Belle II measurements. The θ23 anomaly(use of 1-2 masses for 2-3 mixing) remains documented. This work does not constitute acomplete dynamical theory.
Category: High Energy Particle Physics

[2] ai.viXra.org:2605.0048 [pdf] submitted on 2026-05-23 23:24:13

The Ontological Primacy of Spacetime Geometry: A Complete Framework for Quantum Field Theory Based on the Intrinsic Boundedness of Curvature on a Four-Dimensional Manifold

Authors: Jyun-Yuan Jheng
Comments: 18 Pages.

This paper presents a complete mathematical framework for quantum field theory, founded on the core postulate that physical spacetime is a four-dimensional Lorentzian manifold and that the field strength of gauge fields existing within it issubject to a fundamental intrinsic bound. We demonstrate that when the path integral is strictly restricted to configurations with bounded curvature: (1) the integral becomes absolutely convergent under lattice regularization, resolving the problem of defining the ultraviolet-divergent path integral; (2) all standard perturbative calcu-lations (the g−2 of QED, the Lamb shift, asymptotic freedom, etc.) remain strictly invariant, with unitarity automatically preserved and no ghost states; (3) the non-perturbative vacuum necessarily realizes a chromomagnetic monopole condensate viaan entropy-driven phase transition, from which a mass gap and quark confinement are derived, yielding a string tension and critical temperature consistent with lattice QCD. This framework unifies ultraviolet completeness and infrared confinement as two facets of a single geometric principle: spacetime cannot sustain infinite fieldstrength. It introduces only one new constant of nature, Λ (at the Planck scale), without requiring extra dimensions, supersymmetry, or string-theoretic assumptions.
Category: High Energy Particle Physics

[1] ai.viXra.org:2605.0007 [pdf] submitted on 2026-05-04 13:12:07

Empirical Signatures of a Discrete Topological Vacuum: Correlating LHCb Angular Tensions and CMS Dijet Fractures

Authors: Jason Merwin
Comments: 12 Pages. A code repository is provided

The assumption that spacetime is a continuous manifold faces persistent challenges from localized, unexplained anomalies in both high-energy scattering and flavor-changing neutral currents. This manuscript investigates an alternative framework in which the vacuum is modeled as a discrete, combinatorial topological lattice rather than a continuous background. This structural approach dictates a strict geometric maturity boundary at the coordinate | cos θ| = 1/3, equivalent to the collider kinematic variable χ = 2. We test this exact geometric constraint against two independent collider datasets. In the high-energy regime, CMS particle-level dijet distributions at 13 TeV reveal a macroscopic lattice fracture: a 30.5% residual cross-section excess immediately prior to this χ = 2 boundary, followed by an abrupt post-boundary collapse in the 6.0 to 7.0 TeV bin. In the low-energy limit, LHCb angular measurements of the B0 → K∗0μ+μ− decay demonstrate geometric steering, matching the framework’s directional predictions across five primary angular rows (Z = 5.88). By correlating TeV-scale structural shattering with GeV-scale geometric steering at the identical topological coordinate, these results provide empirical weight to a discrete relational vacuum as an explanatory model. To ensure methodological rigor and avoid post-hoc curve fitting, strict geometric forward predictions for future independent B0 data have been prospectively defined.
Category: High Energy Particle Physics