Remarks on osmosis, quantum mechanics, and gravity
Robert Carroll

TL;DR
This paper explores the connections between quantum potential, Weyl geometry, and gravity, applying these ideas to quantum cosmology and discussing osmotic phenomena in superfluids.
Contribution
It introduces novel links between quantum potential and geometric frameworks, with applications to cosmological models and superfluid gravity analogies.
Findings
Quantum potential relates to Weyl geometry.
Applications to Friedmann equations in quantum cosmology.
Discussion of osmotic effects in superfluids and gravity.
Abstract
Some relations of the quantum potential to Weyl geometry are indicated with applications to the Friedmann equations for a toy quantum cosmology. Osmotic velocity and pressure are briefly discussed in terms of quantum mechanics and superfluids with connections to gravity.
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