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This talk from the Workshop on "Quantum Harmonic Analysis" at the Erwin Schrödinger International Institute explores the coordinate singularity problem in classical General Relativity. Discover how Gabor quantization, extended to eight-dimensional phase space, offers regularization techniques for spacetime metrics where they become zero or singular. Learn how transforming functions on spacetime into operators provides a more refined description, particularly for uniformly accelerated systems and Schwarzschild metrics. The presentation specifically examines (2+1)-dimensional Minkowski spacetime regularized through Gabor quantization, demonstrating how this process induces curvature in originally flat spacetime and creates non-zero components of the energy-momentum tensor. The 29-minute talk was delivered by Jean Pierre Gazeau as part of the ESI workshop held May 5-10, 2025.
