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arXiv · 2102.00269

Ricci curvature and quantum geometry

Mauro Carfora·Francesca Familiari
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Abstract

We describe a few elementary aspects of the circle of ideas associated with a quantum field theory (QFT) approach to Riemannian Geometry, a theme related to how Riemannian structures are generated out of the spectrum of (random or quantum) fluctuations around a background fiducial geometry. In such a scenario, Ricci curvature with its subtle connections to diffusion, optimal transport, Wasserestein geometry, and renormalization group, features prominently.

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Mauro Carfora, Francesca Familiari. 2021-01-30. Ricci curvature and quantum geometry. https://doi.org/10.1142/s0219887820500498

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