Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence

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.

3 figures

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• Bounded compactness from G(E)UP
• Combining the Generalized and Extended Uncertainty Principles
• Uncertainty Principles and Non-local Black Holes