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arXiv · gr-qc/9812047

Origin of Classical Singularities

M. Heller·W Sasin
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Abstract

We briefly review some results concerning the problem of classical singularities in general relativity, obtained with the help of the theory of differential spaces. In this theory one studies a given space in terms of functional algebras defined on it. Then we present a generalization of this method consisting in changing from functional (commutative) algebras to noncommutative algebras. By representing such an algebra as a space of operators on a Hilbert space we study the existence and properties of various kinds of singular space-times. The obtained results suggest that in the noncommutative regime, supposedly reigning in the pre-Planck era, there is no distinction between singular and non-singular states of the universe, and that classical singularities are produced in the transition process from noncommutative geometry to the standard space-time physics.

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M. Heller, W Sasin. 1998-12-14. Origin of Classical Singularities. https://doi.org/10.1023/a%3A1026650424098

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