| viXra.org > Nuclear and Atomic Physics > 2508 |
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| viXra.org > Nuclear and Atomic Physics > 2508 |
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[5] viXra:2508.0164 [pdf] replaced on 2026-01-22 00:18:39
Authors: Stergios Pellis
Comments: 51 Pages.
We propose a comprehensive geometric and algebraic framework that unifies the empirical Koide mass formula with a recursive pentagram structure governed by the golden ratio φ. Within this framework, five Koide triplets—corresponding to charged leptons, neutrinos, up-type quarks, down-type quarks, and a conjectured composite sector—are embedded into the self-similar isosceles triangles of a fractal pentagram. This construction reveals a hierarchical φ-scaling symmetry that systematically organizes particle masses across the Standard Model spectrum. The embedding is formalized through the dimensionless Pellis Function, which generates recursive φ-based relations linking mass ratios, fractal structures, and fine-structure patterns. These results indicate that the Koide relation is not an isolated numerical coincidence, but rather a manifestation of a deeper φ-governed fractal symmetry, offering new insights into mass generation, potential unification beyond the Standard Model, and the underlying mathematical structure of nature. We further introduce the Golden Pentagon of Masses, a novel framework that formalizes the embedding of Koide triplets into the fractal pentagram. Each triplet is assigned to a hierarchical recursion level, revealing systematic φ-scaling across fermion sectors. This construction provides a geometric and algebraic unification of mass hierarchies, where the Pellis Function generates recursive relations connecting mass ratios, fractal geometry, and fundamental constants. In addition, we present the Higgs—Pellis Coupling Fractal Matrix (HPFM), a universal framework for the Yukawa sector of the Standard Model. In this approach, fermion masses emerge from a self-similar, fractal matrix governed by powers of φ. This structure naturally reproduces hierarchical mass patterns, Koide-like relations, and fractal textures within the Higgs sector. The HPFM framework is universally applicable to quarks, leptons, and neutrinos and can be extended to seesaw mechanisms and beyond-Standard-Model scenarios. Finally, we demonstrate that the inverse fine-structure constant arises from the evaluation of the Pellis Function at the golden ratio φ, suggesting a unified fractal origin for fundamental physical constants. Together, these results provide a cohesive visual and algebraic unification of mass structures in the Standard Model and beyond, highlighting the interplay between geometry, number theory, and fundamental physics.
Category: Nuclear and Atomic Physics
[4] viXra:2508.0091 [pdf] submitted on 2025-08-14 20:12:39
Authors: Hacı Soğukpınar
Comments: 14 Pages. (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)
This paper presents Unified Fractal Quantum Field Theory (UFQFT), a novel framework that reinterprets particle physics through fractal field resonances and dimensional scaling. In UFQFT, the mass spectrum of fundamental particles emerges from the fractal dimension (D) of their underlying quantum fields, governed by the scaling law m ∝ |D − 2.70|u207bᵅ, where α distinguishes between quark (α ≈ 1.5) and lepton (α ≈ 2.0) sectors. The theory eliminates the need for gluons by explaining quark confinement via fractal binding energies and recasts the Higgs mechanism as a critical fractal phase transition of the Φ energy field. Key predictions include: (1) the composite nature of the down quark (d ≈ u ⊗ eu207b), (2) neutrino masses as residual Φ-field vibrations (D ≈ 2.72), and (3) proton stability as a consequence of fractal synchrony (Du209a ≈ 2.66). UFQFT challenges the Standard Model by unifying electroweak and strong interactions through geometric field modulation, offering testable signatures in high-energy collisions (e.g., fractal dimension imprints at D ≈ 2.65—2.70). The model’s mathematical consistency and empirical viability are demonstrated through precise mass calculations for quarks (u, d, s, c), leptons (eu207b, νu2091), and hadrons (p, n), with deviations <1% for most particles. This work opens new pathways for beyond-Standard-Model physics by integrating fractal geometry into quantum field dynamics.
Category: Nuclear and Atomic Physics
[3] viXra:2508.0070 [pdf] submitted on 2025-08-10 17:48:10
Authors: Vladimir Nesterenko
Comments: 12 Pages. IIn Russian; License: CC BY 4.0 (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)
This paper presents an informational-geometric model of radioactive decay, interpreting alpha, beta, and gamma emissions as results of localized geometric deformations in the spin network of space-time. Quantum information and dark energy act together to restore equilibrium, with neutrinos and photons serving as agents of informational reconfiguration.
Category: Nuclear and Atomic Physics
[2] viXra:2508.0036 [pdf] replaced on 2025-08-22 14:23:09
Authors: Stephen L. Metschan
Comments: 15 Pages. Added additional references
More than a century ago, physicists discovered that mass is concentrated in a small, dense region at the center of atoms. However, the electrostatic repulsion between the positive particles of the atomic nucleus should break it apart. To solve this dichotomy, a stronger attractive force was proposed. Since then, decades of experimentation have gradually expanded our understanding of nuclear physics and revealed further mysteries. Despite this progress, a theory for the strong force using established physical laws consistent with these observations has yet to emerge. A mistaken consensus regarding nucleon composition during a crucial stage in the early development of particle physics could be the cause. This paper outlines how an alternate nucleon composition provides the geometric framework necessary for existing physical laws to accurately predict the strong force and other phenomena consistent with experimental results.
Category: Nuclear and Atomic Physics
[1] viXra:2508.0020 [pdf] submitted on 2025-08-05 19:35:19
Authors: Zi-Jing Chiah, Elton Song-Zhe Mah
Comments: 3 Pages.
Accurate extraction of Lorentzian broadening from optical emission spectra is essential for estimating electron density in plasmas via Stark broadening. In this study, we compare two commonly used methods: (1) direct Voigt profile fitting using Origin, and (2) manual calculation using approximation of = . It is found that the Lorentzian width obtained from the approximation can differ by 3—5% compared to direct fitting, resulting in a corresponding deviation in the estimated electron density. Direct fitting does not need manual calculation and delivers more accurate results, making it the preferred method.
Category: Nuclear and Atomic Physics
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