Reconciling microscopic and macroscopic tests of the Compton–Schwarzschild correspondence

Abstract

In this paper, we review the experimental constraints on the parameter [Formula: see text] associated with the Generalized Uncertainty Principle (GUP) and the parameter [Formula: see text] associated with the Generalized Event Horizon (GEH). The Compton–Schwarzschild correspondence implies a relationship between [Formula: see text] and [Formula: see text], with both parameters being of order 1. This presents a problem for our previous “[Formula: see text]” model since the extra gravitational force at sub-Planckian masses contravenes observations. Various resolutions of this problem are discussed.