Noncommutative Unification of General Relativity with Quantum Mechanics and Canonical Gravity Quantization
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
The groupoid approach to noncommutative unification of general relativity with quantum mechanics is compared with the canonical gravity quantization. It is shown that by restricting the corresponding noncommutative algebra to its (commutative) subalgebra, which determines the space-time slicing, an algebraic counterpart of superspace (space of 3-metrics) can be obtained. It turns out that when this space-time slicing emerges the universe is already in its commutative regime. We explore the consequences of this result.
Cite
@article{arxiv.gr-qc/0001072,
title = {Noncommutative Unification of General Relativity with Quantum Mechanics and Canonical Gravity Quantization},
author = {M. Heller and W. Sasin},
journal= {arXiv preprint arXiv:gr-qc/0001072},
year = {2007}
}
Comments
21 pages, LaTeX format