Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence

TL;DR

This paper reviews experimental constraints on parameters related to the Generalized Uncertainty Principle and Generalized Event Horizon, discussing their relationship and implications for models of gravity at quantum scales.

Contribution

It analyzes the relationship between GUP and GEH parameters and discusses resolutions to conflicts with observational data in quantum gravity models.

Findings

Constraints on the GUP parameter $eta$ and the GEH parameter $eta$ are summarized.

The relationship between $eta$ and $eta$ affects the validity of the $M+1/M$ model.

Potential resolutions to the conflict with observations are discussed.

Abstract

We review the experimental constraints on the parameter $\alpha$ associated with the Generalized Uncertainty Principle (GUP) and the parameter $\beta$ associated with the Generalized Event Horizon (GEH). The Compton-Schwarzschild correspondence implies a relationship between $\alpha$ and $\beta$, with both parameters being of order 1. This presents a problem for our previous `$M+1/M$' model since the extra gravitational force at sub-Planckian masses contravenes observations. Various resolutions of this problem are discussed.