Ricci flow and quantum theory

2007/10/24 by Robert Carroll, Carroll, Robert · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0710.4351

Latex, 7 pages, referrences added, results refined and expanded, typos corrected

openalex publication_date 2007/10/24 · arxiv created 2007/11/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show some relations between Ricci flow and quantum theory via Fisher information and the quantum potential.

Citations

• On the quantum potential

Cited by

• A NOTE ON THE QUANTUM-MECHANICAL RICCI FLOW

Related

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• Topology change in quantum gravity and Ricci flows