Work

Gabor regularisation of (2 + 1) Minkowski space-time

Year: 2025

Type: preprint

Abstract: This work addresses 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 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. This paper examines 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.

Source: HAL (Le Centre pour la Communication Scientifique Directe)

DOI: 10.13140/rg.2.2.35888.88323

Authors: Czuchry, Ewa, Gazeau, Jean-Pierre

Institutions: Military University of Technology in Warsaw, Université Paris Diderot

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4414685243

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