A note on the quantum-mechanical Ricci flow

Abstract

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".

8 pages, minor corrections, discussion expanded

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Cited by in corpus (2)

• Does quantum mechanics tell an atomistic spacetime?
• The Ricci flow on Riemann surfaces