Coherence Fields and Electromagnetic Gauge Structure: A Phase-Mode Correspondence

Clinton Svancara

Published Jan 1, 2026• 0 citations

Abstract

This paper investigates whether the coherence field Rc(x, t) of Relational Field Theory (RFT) admits a phase-mode correspondence that is consistent with the gauge structure of the Maxwell equations. We start from the RFT evolution equation for Rc, note its global U(1) phase invariance, promote the symmetry to a local transformation, and derive the resulting vector field and field-strength tensor. The analysis focuses solely on the mathematical consistency of the mapping and the conditions under which the phase mode reproduces the familiar Maxwell form. No broader interpretive or foundational claims are made.

DOI: 10.17605/osf.io/shfyt

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