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Can noncommutativity resolve the Big-Bang singularity?

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arxiv hep-th/0306136 v2 pith:GX7F3RN7 submitted 2003-06-14 hep-th gr-qc

classification hep-thgr-qc
keywords singularityabovecoordinatesresolvescalescalesspace-timetime
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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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  1. White Dwarf Stellar Structure from Effective Polymer Geometry in Loop Quantum Gravity

    astro-ph.SR 2026-08 conditional novelty 6.0 of 10

    An effective LQG polymer metric applied to white dwarf TOV equations shows a free amplitude A_lambda can raise the maximum mass above the Chandrasekhar limit, while the mass asymmetry ratio eta has subpercent effects.

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