Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-08-10
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
This paper has been withdrawn due to needed corrections
Scientific paper
It is increasingly widely believed that at high levels of resolution spacetime geometry may be inherently non-commutative. In this work we introduce an effective mechanism that maps matter fields onto a non-commutative background manifold. The mechanism, which is relevant at high densities in strongly gravitating systems (black holes, early universe) deforms a density field into two distinct fields, one residing dominantly on the lattice tops (hereafter, on-cell) and the other residing dominantly in the inter-lattice regions (hereafter, off-cell). The two fields have different physical and themodynamic characterics which we describe, and some of which play a role in halting singularity formation resulting from gravitational collpse. The mechanism quantizes the fields, sets an upper bound on their density and off-sets curvature singularity formation.
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