Speaker
Description
We propose the novel way to address the coordinate singularity of the classical General Relativity. Through Gabor signal quantisation we explore techniques for space-time metrics. Transforming functions on space-time into operators provides a refined description for a Schwarzschild metrics or for a uniformly accelerated system. In this talk we present a simple toy model based on $(2+1)$ Minkowski written in singular coordinates that has been Gabor regularised and discuss several changes to the original flat model that are brought by smoothing coordinate origin. We also demonstrate that this process can be interpreted as inducing non-trivial curvature and torsion, reflecting a quantum smoothing of geometrical structures defined at singular points.