Dynamics and causality constraints

TL;DR

This paper explores the physical and geometric aspects of causality in classical field theories, revealing how local causality constraints have both kinematic and dynamic components with implications for classical electrodynamics.

Contribution

It provides a new interpretation of causality constraints, showing their dynamic content and addressing longstanding issues in classical electrodynamics.

Findings

Causality constraints have both kinematic and dynamic aspects.

Zero-distance limits reveal dynamical content of causality constraints.

Implications for understanding the nature of physical interactions.

Abstract

The physical meaning and the geometrical interpretation of causality implementation in classical field theories are discussed. Local causality are kinematical constraints dynamically implemented via solutions of the field equations, but in a limit of zero-distance from the field sources part of these constraints carries a dynamical content that explains old problems of classical electrodynamics away with deep implications to the nature of physical interactions.