High Energy Particle Physics

2605 Submissions

[3] ai.viXra.org:2605.0058 [pdf] replaced on 2026-06-20 03:36:13

Empirical Relations Between Quark Mass Ratios and CKM Mixing Angles

Authors: Belkacem Lichani
Comments: 7 Pages. Intéressant

We document a set of empirical relations linking the three mixing angles of the CKM matrix to quark mass ratios in the form sin θij = pmi/mj, extending the historical Gatto-Sartori-Tonin (1968) relation. Evaluated within the space of possiblecombinatorial configurations (C(15, 3) = 455 triplets of pairs), this structure stands out with a statistical significance of p = 0.0022 in reproducing the experimental hierarchy to better than 5%, and displays internal consistency at 0.90σ upon cross-extraction of the up quark mass. By algebraic construction, such a texture defined on positive real mass ratios is structurally incapable of generating a complex phase. The CP-violating phase is therefore treated separately via the conjecture |sin δCP | = mW /mZ, a testable numerical observation providing a sharp predictivetarget for the DUNE experiment (δCP ≈ 298◦). We emphasize that this work does not constitute a complete dynamical theory and presents an open anomaly: the paradoxical use of family 1—2 masses in the expression of the mixing angle θ23 (generations 2—3) contradicts standard texture models. These results are presented as afactual mapping of numerical regularities, laying down rigorous constraints for thedevelopment of future flavor symmetry models.
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