2 citations
2 papers
physics.gen-ph2026
Metric--Measure Geometry and Geometric Analogues of Holographic Extremal Surfaces
Rohit Dhormare
We develop a geometric framework based on metric--measure spaces , where the function defines a deformation of the Riemannian measure motivated by Perelman's formulati…
gr-qc2026★ 2 cited
Entropy and Non-Collapse in Lorentzian Geometry
Rohit Dhormare
In this paper, we establish a geometric correspondence between the Lorentzian Raychaudhuri equation and Perelman's non-collapsing theorem for the Ricci flow. By interpreting the Ra…