Can noncommutativity resolve the Big-Bang singularity?

Details Can noncommutativity resolve the Big-Bang singularity? Can noncommutativity resolve the Big-Bang singularity?

2003-06-14

arxiv.org/abs/hep-th/0306136v2

Eur.Phys.J. C36 (2004) 529-534

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 13 pages, 2 figures, accepted for publication in EPJC

Scientific paper

10.1140/epjc/s2004-01968-0

A possible way to resolve the singularities of general relativity is proposed based on the assumption that the description of space-time using commuting coordinates is not valid above a certain fundamental scale. Beyond that scale it is assumed that the space-time has noncommutative structure leading in turn to a resolution of the singularity. As a first attempt towards realizing the above programme a modification of the Kasner metric is constructed which is commutative only at large time scales. At small time scales, near the singularity, the commutation relations among the space coordinates diverge. We interpret this result as meaning that the singularity has been completely delocalized.

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