GeometricTheoryofPhysics-The Model 6-Pi-4
Alvaro Guillermo Perea Covarrubias
Abstract
This paper presents a unified physical model based on a permanent geometric lattice and the metric confinement properties of π. Shifting away from dynamic field-based models, this theory derives fundamental constants and mass hierarchies directly from lattice topology and dimensional decompactification (6D). Key Results: Geometric Derivation of the Proton Mass: The model establishes the exact relationship mp=6π6 (in lattice units), yielding a proton-to-electron mass ratio of mp/me≈6π5≈1836.12, which is in precise agreement with CODATA experimental values. Electroweak Constant Interpretation: A topological explanation of sin2θW through the lattice metric. Quantum Tunneling as a Topological Event: Reinterpretation of tunneling as a local decompactification of extra dimensions. Fine-Structure Constant: Determination of α through membrane reactivity and geometric distortions. The manuscript includes a comprehensive appendix with empirical verifications and the mathematical foundation for the lattice-fixed network.