Review on Generalized Uncertainty Principle

TL;DR

This review discusses various formulations of the generalized uncertainty principle (GUP) derived from theories like string theory and black hole physics, analyzing their implications, observational bounds, and relevance to cosmic inflation.

Contribution

It provides a comprehensive overview of different GUP models, their theoretical origins, observational constraints, and connections to phenomena like cosmic inflation.

Findings

Bounds on GUP parameters from observations

Higher-order GUP predicts minimal length with/without maximum momentum

Implications for cosmic inflation and quantum gravity effects

Abstract

Based on string theory, black hole physics, doubly special relativity and some "thought" experiments, minimal distance and/or maximum momentum are proposed. As alternatives to the generalized uncertainty principle (GUP), the modified dispersion relation, the space noncommutativity, the Lorentz invariance violation, and the quantum-gravity-induced birefringence effects are summarized. The origin of minimal measurable quantities and the different GUP approaches are reviewed and the corresponding observations are analysed. Bounds on the GUP parameter are discussed and implemented in understanding recent PLANCK observations on the cosmic inflation. The higher-order GUP approaches predict minimal length uncertainty with and without maximum momenta.