Wavelet Quantum Cosmology
Year: 2013
Type: preprint
Abstract: We examine the possibility of dealing with gravitational singularities on a quantum level through the use of coherent state or wavelet quantization instead of canonical quantization. We consider the Robertson-Walker metric coupled to a perfect fluid. It is the simplest model of a gravitational collapse and the results obtained here may serve as a useful starting point for more complex investigations in the future. The coherent states, or equivalently the continuous wavelet basis elements, are built from the unitary irreducible representation of the affine group of the real line with positive dilation. A natural regularization of the singularity is an interesting issue of our approach.
Source: arXiv (Cornell University)
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2950330947