Entropy, geometry, and the quantum potential

Robert Carroll

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Entropy, geometry, and the quantum potential

Robert Carroll

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Abstract

We sketch and emphasize the automatic emergence of a quantum potential Q in e.g. classical WDW type equations upon inserting a (Bohmian) complex wave function. The interpretation of Q in terms of momentum fluctuations via Fisher information and entropy ideas is discussed along with the essentially forced role of the amplitude squared as a probability density. We also review the constructions of Padmanabhan connecting entropy and the Einstein equations.

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Robert Carroll. 2005-11-20. Entropy, geometry, and the quantum potential. https://arxiv.org/abs/physics/0511176

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