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- W2075846837 abstract "The Ricci flow equation of a conformally flat Riemannian metric on a closed 2–dimensional configuration space is analysed. It turns out to be equivalent to the classical Hamilton–Jacobi equation for a point particle subject to a potential function that is proportional to the Ricci scalar curvature of configuration space. This allows one to obtain Schrödinger quantum mechanics from Perelman's action functional: the quantum–mechanical wavefunction is the exponential of i times the conformal factor of the metric on configuration space. We explore links with the recently discussed emergent quantum mechanics." @default.
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- W2075846837 date "2009-06-01" @default.
- W2075846837 modified "2023-10-16" @default.
- W2075846837 title "On the Ricci flow and emergent quantum mechanics" @default.
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