A note on the quantum-mechanical Ricci flow
J.M. Isidro, J.L.G. Santander, P. Fernandez de Cordoba
TL;DR
This paper derives Schrödinger quantum mechanics from Ricci flow equations and Perelman's functional, exploring connections with emergent quantum mechanics in a 2D conformally flat configuration space.
Contribution
It introduces a novel approach linking Ricci flow and Perelman's functional to quantum mechanics, providing a geometric foundation for emergent quantum phenomena.
Findings
Quantum mechanics derived from Ricci flow equations.
Links established between geometric flows and emergent quantum behavior.
Provides a new geometric perspective on quantum theory.
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".
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.