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Generalized uncertainty principle and extra dimensions
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The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking nonlocal modifications of the gravity action. We present the problem of extending such a GUP scenario to higher dimensional spacetimes and we critically review the existing literature on the topic.
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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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