Is the Lorentz signature of the metric of spacetime electromagnetic in origin?

TL;DR

This paper demonstrates that the Lorentzian signature of spacetime's metric naturally arises from the fundamental principles of premetric classical electrodynamics, linking electromagnetic properties to spacetime geometry.

Contribution

It provides a premetric formulation of electrodynamics that derives the Lorentzian metric signature from electromagnetic reciprocity and local relations, clarifying the origin of spacetime's metric signature.

Findings

Derives Lorentzian metric from electromagnetic reciprocity

Clarifies sign conventions in electrodynamics

Explains electromagnetic energy sign and charge interactions

Abstract

We formulate a premetric version of classical electrodynamics in terms of the excitation H and the field strength F. A local, linear, and symmetric spacetime relation between H and F is assumed. It yields, if electric/magnetic reciprocity is postulated, a Lorentzian metric of spacetime thereby excluding Euclidean signature (which is, nevertheless, discussed in some detail). Moreover, we determine the Dufay law (repulsion of like charges and attraction of opposite ones), the Lenz rule (the relative sign in Faraday's law), and the sign of the electromagnetic energy. In this way, we get a systematic understanding of the sign rules and the sign conventions in electrodynamics. The question in the title of the paper is answered affirmatively.