Gabor regularisation of Minkowski space-time

Jean Pierre Gazeau (Paris Cité U)

May 07. 2025, 15:15 — 15:45

This talk concerns the coordinate singularity problem in classical General Relativity (GR), where metric becomes zero or singular. These singularities often arise due to the mathematical framework used. Through Gabor (~ time-space & frequency-wave vector ) quantization, a method extended to eight-dimensional phase space, we explore regularization techniques for spacetime metrics. By transforming functions on spacetime into operators, this approach aims to provide a more refined description of spacetime, particularly in cases like uniformly accelerated systems and Schwarzschild metrics. In particular we  examine the (2+1)-dimensional Minkowski spacetime that has been regularized using Gabor quantization, resulting in the induction of curvature in what was originally a flat spacetime and also non-zero components of the energy-momentum tensor.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Quantum Harmonic Analysis (Workshop)
Organizer(s):
Markus Faulhuber (U of Vienna)
Hans G. Feichtinger (U of Vienna)
Franz Luef (NTNU, Trondheim)