Particle with torsion on 3d null-curves

TL;DR

This paper introduces a (2+1)-dimensional mechanical model based on torsion of light-like curves, revealing that its mass and spin spectra are governed by a one-dimensional cubic potential system, exhibiting resonance-like particle properties.

Contribution

It provides a Hamiltonian formulation of a torsion-based light-like curve system and links its spectra to a nonrelativistic cubic potential model, a novel approach in this context.

Findings

Mass and spin spectra are determined by a cubic potential system.

The system exhibits properties characteristic of resonance-like particles.

Hamiltonian formulation for the torsion-based light-like curve system is established.

Abstract

We consider a (2+1)-dimensional mechanical system with the Lagrangian linear in the torsion of a light-like curve. We give Hamiltonian formulation of this system and show that its mass and spin spectra are defined by one-dimensional nonrelativistic mechanics with a cubic potential. Consequently, this system possesses the properties typical of resonance-like particles.