Third order variational equation for the free relativistic top

TL;DR

This paper develops a third order variational equation of motion for a free relativistic top, ensuring Lorentz symmetry, contributing to the theoretical understanding of relativistic spinning bodies.

Contribution

It introduces a novel third order variational equation for the free relativistic top that maintains Lorentz invariance, expanding the theoretical framework of relativistic mechanics.

Findings

Derived a third order variational equation consistent with Lorentz symmetry.

Provides a new mathematical model for the motion of relativistic tops.

Enhances understanding of higher-order variational principles in relativistic physics.

Abstract

I proffer a development of some third order equation of motion for the free relativistic top from the simultaneously imposed assumptions of variationality and Lorentz symmetry.