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arXiv · 2405.16862

Barrow entropy and spacetime foam

Yu. L. Bolotin·V. V. Yanovsky
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Abstract

Quantum gravitational effects, on the one hand, lead to a limitation in the accuracy of measuring spatial and time intervals, and, on the other hand, they generate a discrete of spacetime structure (quantum foam). The common source of both measurement limitations and discreteness of space-time are quantum fluctuations, so their characteristics must be related to each other. We study such a relationship using Barrow entropy as a source of fractal space-time structure. The minimum inaccuracy in measuring space-time intervals is expressed through the Barrow entropy parameter. The connection between the level of fractality and the speed of information processing is considered.

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Yu. L. Bolotin, V. V. Yanovsky. 2024-05-27. Barrow entropy and spacetime foam. https://arxiv.org/abs/2405.16862

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