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

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.