GUP parameter from quantum corrections to the Newtonian potential

TL;DR

This paper introduces a method to determine the GUP deformation parameter using quantum corrections to the Newtonian potential, relying on minimal assumptions from general relativity and Hawking radiation.

Contribution

It provides a novel calculation of the GUP parameter from quantum gravity corrections, connecting it with observable effects in gravitational potential.

Findings

Derived a specific numerical value for the GUP deformation parameter.

Compared the calculated value with existing bounds on GUP.

Demonstrated minimal assumptions suffice for the calculation.

Abstract

We propose a technique to compute the deformation parameter of the generalized uncertainty principle by using the leading quantum corrections to the Newtonian potential. We just assume General Relativity as theory of Gravitation, and the thermal nature of the GUP corrections to the Hawking spectrum. With these minimal assumptions our calculation gives, to first order, a specific numerical result. The physical meaning of this value is discussed, and compared with the previously obtained bounds on the generalized uncertainty principle deformation parameter.