Entropy Constraints on High Spin Particles

TL;DR

The paper explores how high-spin particles challenge the Bekenstein entropy bound, revealing new length scales and implications for quantum gravity and black hole thermality, suggesting a string-like behavior of such particles.

Contribution

It introduces entropy bounds for high-spin particles that imply the existence of new length scales and quantum gravity cutoffs, linking particle spin to fundamental limits.

Findings

High-spin particles violate the entropy bound without new length scales.

A new length scale different from the Compton wavelength emerges for large s.

Black hole radiation thermality is affected by high-spin particle emission.

Abstract

Elementary particles of large spin $s$ store quantum information in degenerate states and therefore are subject to the Bekenstein entropy bound. We observe that for sufficiently large $s$ the bound is violated unless the particle acquires a new associated length-scale different from its Compton wavelength. This can be regarded as a glimpse of stringiness. Moreover, this bound is independent of gravity. The inclusion of gravity additionally generates a new scale at which the thermality of the black hole radiation is violated by the emission of a high spin particle. This bound can be understood as the black hole species bound, i.e. an induced quantum gravity cutoff-scale given by $M_P/\sqrt{s}$. The two bounds carry qualitatively different information.