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Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence

Authors :
Carr, Bernard
Mureika, Jonas
Nicolini, Piero
Publication Year :
2024

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.<br />Comment: 3 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2405.04977
Document Type :
Working Paper