Single time dynamical model for equations of motion of relativistic retarded systems

TL;DR

This paper introduces a single-time dynamical model for relativistic retarded systems, including binary systems, with applications to electromagnetic interactions and discussions on gravitational implications.

Contribution

It develops a novel single-time modeling procedure for relativistic retarded systems, improving accuracy and applicability over previous methods.

Findings

Successfully models binary electromagnetic systems

Highlights differences from prior approaches

Discusses potential implications for gravitational theories

Abstract

We present a procedure to build a single time model for the equations of motion of relativistic retarded systems composed of several particles; at any desired level of accuracy. We treat the especial case of a binary system. We apply this model to the classical electromagnetic binary particle system. We mentioned some differences with previous approaches and discussed the implications for linear gravitational models.