Particle Growth and BPS Saturated States

TL;DR

This paper investigates how particle sizes grow with momentum at high energies within heterotic string theory, linking it to BPS black hole properties and supporting holographic principles.

Contribution

It maps particle growth to BPS black hole charge increase and provides explicit calculations aligning with holographic conjectures.

Findings

Particle size growth pattern matches holographic predictions

Explicit calculations based on Sen's black hole solutions support the theory

Particle dimensions increase with momentum in a manner consistent with Bekenstein bound

Abstract

Consistency of the Bekenstein bound on entropy requires the physical dimensions of particles to grow with momentum as the particle is boosted to transplanckian energies. In this paper the problem of particle growth in heterotic string theory is mapped into a problem involving the properties of BPS saturated black holes as the charge is increased. Explicit calculation based on the black hole solutions of Sen are shown to lead to a growth pattern consistent with the holographic speculation described in earlier work.