Novel Regge-like trajectories for spinning, dilating, hadronic particles

TL;DR

This paper explores the dynamics of spinning, dilating particles with hadronic properties in complex geometric backgrounds, revealing novel relationships between mass, dilation, and shear currents.

Contribution

It introduces generalized spin and shear supplementary conditions and uncovers new Regge-like trajectories linking mass to hypermomentum components.

Findings

Mass is generally not conserved for hadronic particles.

New Regge-like trajectories relate mass to dilation and shear currents.

The study extends understanding of microstructured particle dynamics in curved spacetime.

Abstract

We study the of motion of a spinning, dilating particle with hadronic properties moving on a generic geometric background including curvature, torsion, and nonmetricity. In particular, we discuss generalized spin supplementary conditions and also introduce the concept of a shear supplementary condition. Using these, we investigate the evolution of the dynamical mass of the microstructured test body and the cases where the latter is a constant of motion. In general, we find novel Regge-like trajectories relating the mass to the dilation and/or the shear currents of hypermomentum. This means that for particles with hadronic properties, the rest mass is not a constant of motion in general.