Gravitational tests of the Generalized Uncertainty Principle

TL;DR

This paper links the Generalized Uncertainty Principle to modifications in the Schwarzschild metric, deriving observable corrections to gravitational phenomena and establishing bounds on the GUP parameter from astronomical data.

Contribution

It introduces a method to connect GUP-induced quantum corrections with classical gravitational metrics and derives observational bounds from astrophysical measurements.

Findings

GUP modifies the Schwarzschild metric affecting light deflection and perihelion precession.

Astronomical data constrains the GUP deformation parameter.

The approach bridges quantum gravity concepts with classical tests of general relativity.

Abstract

We compute the corrections to the Schwarzschild metric necessary to reproduce the Hawking temperature derived from a Generalized Uncertainty Principle (GUP), so that the GUP deformation parameter is directly linked to the deformation of the metric. Using this modified Schwarzschild metric, we compute corrections to the standard General Relativistic predictions for the light deflection and perihelion precession, both for planets in the solar system and for binary pulsars. This analysis allows us to set bounds for the GUP deformation parameter from well-known astronomical measurements.