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Bibliographic Details
Main Author: ACOSTA PADILLA, ALFREDO LUIS
Format: Recurso digital
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Published: Zenodo 2025
Subjects:
Fundamental constants Fine-structure constant Proton-electron mass ratio W boson mass Z boson mass Tau-muon mass ratio Structured Vacuum Theory Base-23 mathematics Algebraic physics Geometric derivation Quantum electrodynamics Electroweak symmetry Discrete vacuum geometry Plastic number (ρ) 23-channel vacuum
1.3 PHYSICAL SCIENCES 1.3.1 Physics 1.3.1.1 Particles and fields 1.3.1.4 Fundamental interactions and fields 1.3.1.5 Atomic and molecular physics 1.3.2 Mathematics 1.3.2.1 Mathematical physics 1.3.2.2 Algebra and number theory 1.3.3 Astronomy and astrophysics 1.3.3.1 Fundamental astronomy and astrophysics 1.2 COMPUTER AND INFORMATION SCIENCES 1.2.1 Computer and information sciences 1.2.1.1 Algebraic structures in computer science
Online Access:https://doi.org/10.5281/zenodo.18096005
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Table of Contents:
  • <p>We present a complete algebraic framework deriving five fundamental dimensionless constants from the geometric structure of the vacuum. All constants emerge as exact vectors in a base-23 space with ε = 1/23, using only small integer or semi-integer coefficients corresponding to countable geometric features. Specifically, we derive: the fine-structure constant α, proton-electron mass ratio mp/me, tau-muon mass ratio mτ/mμ, and the W and Z boson masses relative to the electron. All expressions match CODATA 2018 values within experimental uncertainty. The results demonstrate that what appear as transcendental constants are actually algebraic projections of discrete vacuum geometry, eliminating fine-tuning and infinite perturbative series. The geometric interpretation reveals charge as vacuum friction and neutrality as resonant coupling, providing a natural geometric explanation for particle masses without additional mechanisms. This work establishes Structured Vacuum Theory as a viable framework for unifying fundamental constants through geometric first principles.</p>

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