The V23 Theory: Fundamental Constants and Gravity from Helical Dodecahedral Vacuum Geometry

This repository contains the complete mathematical framework and derivations for the V23 Theory (Structured Vacuum Theory), a geometric theory of fundamental physics based on a discrete vacuum lattice of 23 active channels. The theory derives the fine-structure constant (α⁻¹ = 137.035999084), electron mass (mₑ = 0.510998946 MeV), and gravitational phenomena from first principles using only three geometric parameters: the golden ratio φ, √3, and the 23 degrees of freedom of a combined dodecahedral-cubic lattice. The work includes: Full LaTeX paper with derivations SageMath/Python code for independent verification of all constants Derivation of Mercury's perihelion precession (42.98"/century) from elastic vacuum tension rather than spacetime curvature Complete Lie algebra structure of the V23 lattice with 1540 structure constants Master Lagrangian unifying helical vacuum dynamics, particle formation as topological knots, and emergent gravity All numerical predictions match experimental values within 10⁻⁸ precision. The theory offers a geometric alternative to both the Standard Model's free parameters and general relativity's curvature-based gravity.