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Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence
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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.
Forward citations
Cited by 2 Pith papers
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Bounded compactness from G(E)UP
The generalized uncertainty principle bounds the compactness of any object much heavier than the Planck mass by about 1/α, and the existence of black holes forces the GUP parameter to satisfy α ≲ 2.
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Combining the Generalized and Extended Uncertainty Principles
An alternative combined uncertainty relation (EGUP) is introduced, and the GEUP is shown to gain a third branch that the authors label—without a derived metric—a new type of black hole.
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