Loop Quantum Gravity Modification of the Compton Effect

TL;DR

This paper investigates how loop quantum gravity-induced modifications to dispersion relations could alter the Compton effect, proposing potential experimental tests for quantum gravity effects using cosmic ray data.

Contribution

It introduces a formulation of the Compton effect incorporating loop quantum gravity MDRs and estimates observable wavelength shifts based on cosmic ray constraints.

Findings

Quantum gravity MDRs cause measurable wavelength shifts in Compton scattering.

Constraints from UHECR limit the magnitude of possible quantum gravity effects.

Potential for experimental detection of quantum gravity signatures in photon scattering.

Abstract

Modified dispersion relations(MDRs) as a manifestation of Lorentz invariance violation, have been appeared in alternative approaches to quantum gravity problem. Loop quantum gravity is one of these approaches which evidently requires modification of dispersion relations. These MDRs will affect the usual formulation of the Compton effect. The purpose of this paper is to incorporate the effects of loop quantum gravity MDRs on the formulation of Compton scattering. Using limitations imposed on MDRs parameters from Ultra High Energy Cosmic Rays(UHECR), we estimate the quantum gravity-induced wavelength shift of scattered photons in a typical Compton process. Possible experimental detection of this wavelength shift will provide strong support for underlying quantum gravity proposal.