Gauge fields in a discrete approach

TL;DR

This paper introduces a discrete formalism for gauge fields, clarifying their physical meaning, origins, symmetries, and singularities, and highlighting their relation to field-source coherence.

Contribution

It presents a novel discrete approach that elucidates the fundamental aspects of gauge fields and their symmetries.

Findings

Gauge fields are linked to a lack of strict field-source coherence.

Discrete formalism reveals the physical meaning of gauge symmetries.

Singularities in gauge fields are better understood through this approach.

Abstract

A discrete field formalism exposes the physical meaning and origins of gauge fields, their symmetries and singularities. They represent a lack of a stricter field-source coherence.