most citedEntropy and Non-Collapse in Lorentzian Geometry

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physics.gen-ph2026

An Entropy-Based Criterion for Geodesic Incompleteness

Rohit Dhormare

We develop an entropy-based formulation of gravitational focusing in Lorentzian geometry by associating a scalar entropy functional to timelike geodesic congruences. Rewriting the…

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…