Modified Dispersion Relation, Photon's Velocity, and Unruh Effect

TL;DR

This paper explores how a generalized uncertainty principle modifies particle dispersion relations, photon velocities, and the Unruh effect, suggesting energy-dependent superluminal photons and GUP-corrected emission spectra.

Contribution

It derives a modified dispersion relation, photon velocity, and Unruh radiation spectrum incorporating GUP effects, providing new insights into quantum gravity phenomenology.

Findings

Photons can propagate faster than light at high energies.

GUP leads to a modified Klein-Gordon equation and emission spectrum.

Particles appear more massive due to GUP-induced dispersion modifications.

Abstract

Motivated by the recently derived new form of generalized uncertainty principle we obtain the corresponding dispersion relation which is now modified. This modification can be interpreted as a possible mechanism that makes particles more massive. In addition, the modified velocity of photons is obtained and indicates that photons' propagation depends on their energy, thus superluminal photons are permitted due to generalized uncertainty principle. Furthermore, we derive and solve the two-dimensional Klein-Gordon equation in the presence of GUP corrections, and therefore the GUP-corrected emission spectrum due to the Unruh effect is obtained.