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arxiv: 0808.2717 · v3 · submitted 2008-08-20 · ✦ hep-th · math-ph· math.MP· quant-ph

A note on the quantum-mechanical Ricci flow

classification ✦ hep-th math-phmath.MPquant-ph
keywords flowmechanicsquantumricciclosedconfigurationconformallydimensional
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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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