A Discrete Causal Reconstruction of Classical Electromagnetism

Abstract

We develop a discrete causal formulation of classical electromagnetism based on elementary formal informational carriers, termed informatons, which propagate at the invariant speed of light. These informational carriers represent the causal propagation of electromagnetic influence and are not interpreted as material particles or quanta of quantum field theory. Each informaton carries directional indices encoding attributes of the emitting source, and macroscopic electromagnetic fields emerge from the collective contribution of these informational carriers in the continuum limit. Within this framework, the electric field is interpreted as the local flux density of electric information, while magnetic phenomena emerge from geometric and kinematic effects associated with source motion.

Starting from a small set of causal emission and propagation postulates, we reconstruct the macroscopic electromagnetic field structure generated by charged particles. Within the local continuum description developed here, the formulation recovers Maxwell's equations in differential form in vacuum and reproduces the Lorentz force law. The resulting framework preserves relativistic causality and remains empirically equivalent to classical electrodynamics while providing a conceptually and geometrically transparent discrete causal reconstruction of the Maxwell–Lorentz structure.