dorsal/arxiv
View SchemaEntropy, geometry, and the quantum potential
| Authors | Robert Carroll |
|---|---|
| Categories | |
| ArXiv ID | physics/0511176 |
| URL | https://arxiv.org/abs/physics/0511176 |
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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"date_created": "2026-03-02T18:01:03.277000Z",
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"abstract": "We sketch and emphasize the automatic emergence of a quantum potential Q in\ne.g. classical WDW type equations upon inserting a (Bohmian) complex wave\nfunction. The interpretation of Q in terms of momentum fluctuations via Fisher\ninformation and entropy ideas is discussed along with the essentially forced\nrole of the amplitude squared as a probability density. We also review the\nconstructions of Padmanabhan connecting entropy and the Einstein equations.",
"arxiv_id": "physics/0511176",
"authors": [
"Robert Carroll"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
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"title": "Entropy, geometry, and the quantum potential",
"url": "https://arxiv.org/abs/physics/0511176"
},
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