A new interpretation for the mass of a classical relativistic particle

TL;DR

This paper offers a novel group-theoretic perspective on the concept of mass for classical relativistic particles, based on recent classifications of Poincaré group coadjoint orbits.

Contribution

It introduces a new interpretation of relativistic particle mass using the classification of Poincaré group coadjoint orbits, advancing theoretical understanding.

Findings

Provides a new group-theoretic interpretation of mass

Utilizes recent classification of Poincaré coadjoint orbits

Enhances conceptual understanding of relativistic particles

Abstract

Based on a recent classification of coadjoint orbits of the full Poincar\'{e} group, we give a new group theoretic interpretation for the mass of a classical relativistic particle.