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[2] ai.viXra.org:2606.0031 [pdf] submitted on 2026-06-12 18:09:02
Authors: Pruk Ninsook
Comments: 42 Pages.
This manuscript presents Paper X of the Information-Geometric Physics System (IGPS) series, extending the framework to the electroweak sector. It explores an approach where the Standard Model Higgs doublet is modeled as a BPS domain wall within a five-dimensional SU(2)_L × U(1)_Y gauge theory. By analyzing the spectral geometry and conformal field theory (CFT) of the Higgs kink worldvolume, this paper attempts to derive fundamental electroweak observables structurally, without introducing additional free parameters.Key Concepts and Results:The Weinberg Angle (sin²θ_W): Building on Callan-Harvey anomaly inflow and topological charge quantization, the framework yields a tree-level value of sin²θ_W = 1/4. This mathematically preserves the gauge boson mass ratio m_Z/m_W = 2/√3 and the exact custodial symmetry parameter ρ = 1.The Electroweak Worldvolume: Utilizing the Goddard-Kent-Olive (GKO) coset construction, we propose an identification of the combined lepton-Higgs worldvolume with the 3-state Potts minimal model M(5,6) carrying a central charge c = 4/5.The Higgs Quartic Coupling (λ_H): Formulated through structural VOA data, specifically combining the primary conformal weight with the UV crossover scale derived from the Schwinger-Dyson equation. This geometric approach yields λ_H = 31/240 ≈ 0.12917, showing a close numerical agreement (-0.17% deviation) with the current experimental value. This result subsequently provides a conditional estimate for the Higgs vacuum expectation value of v ≈ 246.4 GeV.The Observer Necessity Principle: Discussed in the Appendix, this section aims to formalize the mapping of 4D physical couplings from 2D CFT boundary data. By applying the Cauchy functional equation and standard thermodynamic identities, we outline a structural rationale for selecting the specific derivation route presented in this study.Overall, this paper aims to provide a topological and algebraic perspective on the Standard Model's dimensionless electroweak couplings, suggesting that these foundational parameters might be understood as structural invariants of an underlying spectral geometry.
Category: High Energy Particle Physics
[1] ai.viXra.org:2606.0019 [pdf] submitted on 2026-06-08 19:19:38
Authors: Hacı Soğukpınar
Comments: 26 Pages. (Note by ai.viXra.org Admin: Further repetition may not be accepted)
The origin of mass remains one of the central questions in modern particle physics. Within the Standard Model, particle masses arise through spontaneous electroweak symmetry breaking and Yukawa interactions with the Higgs field. While the discovery of the Higgs boson provided strong experimental support for this framework, the Standard Model does not explain the numerical values of fermion masses, the origin of Yukawa couplings, or the observed mass hierarchy spanning several orders of magnitude. Unified Fractal Quantum Field Theory (UFQFT) proposes an alternative interpretation in which mass emerges from localized resonance energy generated by coupled energy (Φ) and charge (Ψ) fields embedded within a critical fractal spacetime characterized by an effective dimension near D ≈ 2.7. In this work, we perform a systematic comparison between the Higgs mechanism and resonance-based mass generation. The analysis examines the origins of gauge-boson masses, fermion masses, and nucleon mass within both frameworks. Particular attention is given to the role of Yukawa couplings, resonance stability, fractal confinement, and energy localization. We show that while the Standard Model successfully parameterizes observed particle masses through Higgs interactions, UFQFT provides a geometric interpretation in which mass emerges from resonance organization rather than from independent coupling constants. The conceptual foundations, mathematical structures, predictive capacities, and experimental implications of both approaches are compared. The study establishes a framework for evaluating whether resonance geometry can reproduce known mass phenomena while providing new insights into the hierarchy problem, flavor structure, and the physical origin of mass. This comparison constitutes an important component of the broader UFQFT Standard Model Validation Program and contributes to the ongoing search for a deeper understanding of matter and mass generation.
Category: High Energy Particle Physics