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

M. Heller , Wiesław Sasin

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.
Author M. Heller
M. Heller,,
-
, Wiesław Sasin (FMIS / DDG)
Wiesław Sasin,,
- Department of Differential Geometry
Journal seriesarXiv:gr-qc/0001072
Issue year2000
Keywords in EnglishGeneral Relativity and Quantum Cosmology
URL http://arxiv.org/abs/gr-qc/0001072
Score (nominal)0
Publication indicators WoS Citations = 18
Citation count*2 (2014-04-26)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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