The Electromagnetic Field as a Synchrony Gauge Field

TL;DR

This paper proposes that the electromagnetic field can be understood as a gauge field arising from a specific subset of synchrony transformations, leading to a space-time interpretation and implications for classical-quantum theory.

Contribution

It introduces a novel perspective identifying the electromagnetic field as a gauge field linked to synchrony transformations, with new space-time and operational definitions.

Findings

Derived a new invariance principle related to synchrony group

Identified the electromagnetic field as a gauge field of this invariance

Analyzed static, spherically symmetric solutions of the field equations

Abstract

Building on our previous work, we investigate the identification of the electromagnetic field as a local gauge field of a restricted group of synchrony transformations. We begin by arguing that the inability to measure the one-way speed of light independent of a synchronization scheme necessitates that physical laws must be reformulated without distant simultaneity. As a result, we are forced to introduce a new operational definition of time which leads to a fundamental space-time invariance principle that is related to a subset of the synchrony group. We identify the gauge field associated with this new invariance principle with the electromagnetic field. Consequently, the electromagnetic field acquires a space-time interpretation, as suggested in our previous work. In addition, we investigate the static, spherically symmetric solution of the resulting field equations. Also, we discuss implications of the present work for understanding the tension between classical and quantum theory.