Constraining GUP Models Using Limits on SME Coefficients

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.

Class. Quantum Grav. 39, 225017 (2022)

References in corpus (8)

• What Do We Know About Lorentz Invariance?
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
• Noncommutative Point Sources
• Lorentz violation in the linearized gravity
• Corrections to the ns-levels of hydrogen atom in deformed space with minimal length
• Generalized uncertainty principles and quantum field theory
• Searches for beyond-Riemann gravity
• Optimal uncertainty relations in a modified Heisenberg algebra

Cited by in corpus (6)

• 30 years in: Quo vadis generalized uncertainty principle?
• Quantum-spacetime effects on nonrelativistic Schrödinger evolution
• Reinterpreting deformed Heisenberg algebras
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• On the algebraic approach to GUP in anisotropic space
• Testing Lorentz symmetry with space-based gravitational-wave detectors