T. Schurmann

collaborators

4 papers

physics.gen-ph2026

Static Einstein-Scalar Reconstruction: Compatibility and Descent

Thomas SchÃ¼rmann

Prescribing both the areal-radius metric function $F (r)$ and the scalar profile $I ¨ (r)$ generally overdetermines static Einstein-scalar reconstruction. The temporal and radial Eins…

math.DG2025

Variance-Refined In-Diameter Lower Bound for the First Dirichlet Eigenvalue

Thomas SchÃ¼rmann

Let $(M, g)$ be a compact $n$ -dimensional Riemannian manifold with nonempty boundary and $n \geq 2$ . Assume that $Ric (M) \geq (n - 1) K$ for some $K > 0$ and that $\partial M$ …

gr-qc2025

Intrinsic Heisenberg Lower Bounds on Schwarzschild and Weyl-Class Spacelike Slices

Thomas SchÃ¼rmann

We establish a coordinate-invariant Heisenberg-type lower bound for quantum states strictly localized in geodesic balls of radius $r_{g}$ on horizon-regular spacelike slices of stati…

gr-qc2025

Robust Areal Thermodynamics of the Schwarzschild Black Hole with Robin Boundary Conditions and Weyl Asymptotics

Thomas SchÃ¼rmann

We formulate an areal thermodynamics for the Schwarzschild black hole that takes the horizon area as the sole macroscopic variable. Quantizing ultrarelativistic interior modes on a…