A note on the quantum-mechanical Ricci flow

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, minor corrections, discussion expanded

Scientific paper

10.1142/S0217751X09046345

We obtain Schroedinger quantum mechanics from Perelman's functional and from
the Ricci flow equations of a conformally flat Riemannian metric on a closed
2-dimensional configuration space. We explore links with the recently discussed
"emergent quantum mechanics".

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