Noncommutative Unification of General Relativity with Quantum Mechanics and Canonical Gravity Quantization

Details Noncommutative Unification of General Relativity with Quantum Mechanics and Canonical Gravity Quantization Noncommutative Unification of General Relativity with Quantum Mechanics and Canonical Gravity Quantization

2000-01-24

arxiv.org/abs/gr-qc/0001072v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, LaTeX format

Scientific paper

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.

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