Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession

TL;DR

This study evaluates the effects of the Generalized Uncertainty Principle on key gravitational phenomena within the Solar System, deriving bounds for GUP parameters based on observational data.

Contribution

It extends previous work by computing Shapiro delay, gravitational redshift, and geodetic precession for the GUP-modified Schwarzschild metric and constrains GUP parameters using experimental data.

Findings

Upper bounds for GUP parameter β derived from Solar system tests.

Comparison of GUP bounds with existing literature.

Constraints consistent with previous theoretical predictions.

Abstract

This paper is based on the study of the paper of Scardigli and Casadio [Eur. Phys. J. C (2015) 75:425] where the authors computed the light deflection and perihelion precession for the Generalized Uncertainty Principle (GUP) modified Schwarzschild metric. In the present work, we computed the gravitational tests such as Shapiro time delay, gravitational redshift, and geodetic precession for the GUP modified Schwarzschild metric. Using the results of Solar system experiments and observations, we obtain upper bounds for the GUP parameter $\beta$. Finally, we compare our bounds with other bounds in the literature.