High Energy Particle Physics

2605 Submissions

[3] ai.viXra.org:2605.0058 [pdf] replaced on 2026-06-11 07:20:35

A Parameter-Free Relation Between Quark Mass Ratios and CKM Mixing Angles

Authors: Lichani Belkacem
Comments: 4 Pages. Intéressant

We report an empirical relation between quark mass ratios and CKM mixing angles:sin θij =pmin(mi, mj )/ max(mi, mj ). Using PDG 2024 quark masses, this relationreproduces the three CKM mixing angles with deviations of 0.6%, 1.4%, and 4.1%,without adjustable parameters. A permutation analysis over the 36 charge-preservingassignments shows that the natural mass ordering provides the best agreement withexperimental data (p = 0.056). The relation implies the testable constraint sin θ12 ×sin θ23 =pmumd/mcms = 9.22 × 10−3, compatible with PDG 2024 at the 2% level.The law is compatible with a Froggatt-Nielsen interpretation. A conjecture for theCP-violating phase gives |sin δCP | = mW /mZ, yielding δCP = 298.13◦, testable by theDUNE experiment (2028—2030). The observed relation may represent a new empiricalflavor law analogous to the historical Balmer formula in atomic spectroscopy.0.050.100.150.200.25θ12 θ23 θ13PDG 2024
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