Foundation Equations and Forced Consequences in a Source-Free Maxwell Universe

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Authors: An M. Rodriguez, Alex Mercer
Cited by: 0

Abstract

This document provides a step-by-step derivation chain for the Maxwell Universe program. We begin with the source-free Maxwell equations as the experimentally abstracted dynamical law. From these we derive Poynting's theorem (energy continuity), then the momentum continuity equation with the Maxwell stress tensor (force as flux). We show how Newton-like laws arise for localized, self-sustaining electromagnetic configurations via integrated continuity identities. We then derive effective tension and inertial line density for thin flux tubes and show how toroidal organization forces integer winding numbers. Finally, we clarify what can be reconstructed from energy density and energy flux alone and what requires the full Maxwell evolution law.

Fields of Study & Subjects

Quantum and Classical Electrodynamics Relativity and Gravitational Theory Electromagnetic Simulation and Numerical Methods

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
31 January 2026