Uncertainty Principles and Maximum Entropic Force

TL;DR

This paper investigates how various quantum gravity-inspired uncertainty principles modify the maximum entropic force, revealing dependence on fundamental parameters and the quantum gravity framework.

Contribution

It introduces quantum gravity corrections to the maximum entropic force based on multiple extended uncertainty principles, highlighting their dependence on underlying quantum gravity parameters.

Findings

Modified entropic force depends on uncertainty principle parameters

Entropic force varies with the number of Planck areas in the EUP area

Quantum gravity corrections influence the maximum entropic force

Abstract

We consider quantum gravity corrections to the maximum entropic force that arise from several gravitational uncertainty principles. These include the Generalized Uncertainty Principle (GUP), the Extended Uncertainty Principle (EUP), the Generalized Extended Uncertainty Principle (GEUP), and the Linear-Quadratic GUP (LQGUP). We find that the modified entropic force depends on the dimensionless parameters of the uncertainty principles and, thus, on the underlying quantum gravity theory. Furthermore, the entropic force, which is quantum gravity corrected in the framework of the extended uncertainty principles, also depends on the number of Planck areas that made the ``EUP area".