Maxwell-Acosta Equations: A Geometric Completion of Classical Electrodynamics
Abstract
We present a geometric completion of Maxwell's equations based on Structured Vacuum Theory (TVS). Five fundamental equations reduce to classical electrodynamics in the low-energy limit but incorporate vacuum structure effects at high energies. The modifications introduce: (1) electric field saturation at the Schwinger limit E_crit ≈ 1.3×10¹⁸ V/m derived from V23 geometry rather than postulated, (2) torsional magnetic monopoles ∇·B = (α/23)τ(x,t) as geometric defects in vacuum structure, (3) torsional currents modifying Faraday's law ∇×E = -∂B/∂t - J_torsion explaining finite inductive delays, (4) geometric permeability H = (B/μ₀)[1 + χ_V23(ω)] with 22 resonant frequencies at ω_n = n·23c/λ₀, and (5) exact derivation of the electron anomalous magnetic moment a_e = 0.001159652181... from pure geometry matching experimental value 0.00115965218073(28) without adjustable parameters or perturbative diagrams. All constants emerge from icosahedral vacuum geometry: α⁻¹ = 137 + 19/23² = 137.035999..., vacuum impedance Z₀ = 120π_TVS ≈ 377.003 Ω where π_TVS = 38225/12167 from base-23 algebra. The equations maintain gauge invariance, energy-momentum conservation, and causality while providing first-principles derivations previously requiring empirical input. Experimental signatures include THz vacuum resonances, field saturation effects at extreme intensities, and torsional monopole detection in superconductors.
Fields of Study & Subjects
Quantum and Classical Electrodynamics
Advanced Mathematical Theories and Applications
Relativity and Gravitational Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 27 January 2026