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Quantum wormhole as a Ricci flow

General Relativity and Quantum Cosmology 2009-10-18 v4 High Energy Physics - Theory Mathematical Physics Differential Geometry math.MP

Abstract

The idea is considered that a quantum wormhole in a spacetime foam can be described as a Ricci flow. In this interpretation the Ricci flow is a statistical system and every metric in the Ricci flow is a microscopical state. The probability density of the microscopical state is connected with a Perelman's functional of a rescaled Ricci flow.

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Cite

@article{arxiv.0809.0957,
  title  = {Quantum wormhole as a Ricci flow},
  author = {Vladimir Dzhunushaliev},
  journal= {arXiv preprint arXiv:0809.0957},
  year   = {2009}
}

Comments

addition in Introduction

R2 v1 2026-06-21T11:17:11.195Z