Constraining GUP Models Using Limits on SME Coefficients

TL;DR

This paper shows that many GUP models produce signals similar to SME Lorentz violations, allowing the use of SME experimental limits to tightly constrain GUP parameters, significantly improving existing bounds.

Contribution

It demonstrates the equivalence of a broad class of GUP models to SME signals and uses this to derive new, stringent bounds on GUP parameters from existing SME limits.

Findings

Isotropic GUP bounds improved by a factor of 10^7

Anisotropic GUP models constrained for the first time

GUP signals are experimentally indistinguishable from SME predictions

Abstract

Generalized uncertainty principles (GUP) and, independently, Lorentz symmetry violations are two common features in many candidate theories of quantum gravity. Despite that, the overlap between both has received limited attention so far. In this brief paper, we carry out further investigations on this topic. At the nonrelativistic level and in the realm of commutative spacetime coordinates, a large class of both isotropic and anisotropic GUP models is shown to produce signals experimentally indistinguishable from those predicted by the Standard Model Extension (SME), the common framework for studying Lorentz-violating phenomena beyond the Standard Model. This identification is used to constrain GUP models using current limits on SME coefficients. In particular, bounds on isotropic GUP models are improved by a factor of $10^{7}$ compared to current spectroscopic bounds and anisotropic models are constrained for the first time.