On a gravitational self-interaction parameter for point-particles

TL;DR

This paper introduces a continuous framework for analyzing the self-interaction parameter of point-particles, bridging classical and relativistic models through careful energy accounting.

Contribution

It presents a novel continuous framework that interpolates between classical and relativistic point-particles based on self-interaction energies.

Findings

A new self-interaction parameter for point-particles is proposed.

The framework unifies classical and relativistic descriptions.

Insights into energy contributions of point-particles are provided.

Abstract

Relativistic, electrically neutral point-particles can be given mathematical foundation by doing a careful accounting of self-interaction energies. In this paper we examine a self-interaction parameter and present a continuous framework which interpolates between classical and relativistic point-particles.