Delay-Reconstructed Electromagnetic Fields: A Causal Memory Extension of Faraday's Field Intuition

This paper proposes a compile-ready phenomenological extension of classical electromagnetism inspired by Faraday’s original field intuition. Instead of treating electromagnetic fields only as static continuous entities, the framework models observed or effective fields as causally reconstructed quantities generated from retarded electromagnetic potentials through temporal memory kernels.

 

The theory is designed to preserve Maxwell electrodynamics in the zero-memory limit while introducing a small, explicitly controlled delay parameter. By defining a normalized causal reconstruction kernel acting identically on scalar and vector potentials, the model remains gauge-compatible and automatically preserves charge continuity. The resulting effective fields satisfy Maxwell-type equations with filtered source densities and currents.

 

A minimal exponential kernel yields a closed-form transfer function, producing a measurable phase lag and passive amplitude suppression in high-bandwidth regimes. This allows the model to generate a concrete falsifiable prediction without discarding the empirical success of Maxwell’s equations. The framework therefore functions not as a replacement for classical electromagnetism, but as a post-Faraday reconstruction layer that connects field ontology, causal memory, and experimentally testable signal-level corrections.