Information-theoretic natural ultraviolet cutoff for spacetime - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: Fields in spacetime could be simultaneously discrete and continuous, in thesame way that information can: it has been shown that the amplitudes,\phix n, that a field takes at a generic discrete set of points, x n, can besufficient to reconstruct the field \phix for all x, namely if there exists acertain type of natural ultraviolet UV cutoff in nature, and if the averagespacing of the sample points is at the UV cutoff scale. Here, we generalizethis information-theoretic framework to spacetimes themselves. We show thatsamples taken at a generic discrete set of points of a Euclidean-signaturespacetime can allow one to reconstruct the shape of that spacetime everywhere,down to the cutoff scale. The resulting methods could be useful in variousapproaches to quantum gravity.



Author: Achim Kempf

Source: https://arxiv.org/







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