Ricci flow and quantum theory
Robert Carroll
TL;DR
This paper explores the connections between Ricci flow and quantum theory, focusing on the roles of Fisher information and quantum potential in linking geometric and quantum concepts.
Contribution
It introduces novel relationships between Ricci flow and quantum mechanics through Fisher information and quantum potential analysis.
Findings
Identifies links between Ricci flow and quantum information measures
Proposes a geometric interpretation of quantum potential
Suggests new avenues for quantum geometric research
Abstract
We show some relations between Ricci flow and quantum theory via Fisher information and the quantum potential.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Geometric Analysis and Curvature Flows