This is a basically expository article, with some new observations, tracing connections of the quantum potential to Fisher information, to Kähler geometry of the projective Hilbert space of a quantum system, and to the Weyl-Ricci scalar curvature of a Riemannian flat spacetime with quantum matter.
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Carroll, R. Information, Quantum Mechanics, and Gravity. Found Phys 35, 131–154 (2005). https://doi.org/10.1007/s10701-004-1928-3
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DOI: https://doi.org/10.1007/s10701-004-1928-3