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On Singularity Resolution in Quantum Gravity

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arxiv gr-qc/0312094 v1 pith:L7UA4IPV submitted 2003-12-20 gr-qc hep-th

V. Husain , O. Winkler This is my paper · ORCID
classification gr-qchep-th
keywords quantumgravitysingularityresolutiongeometrodynamicsoperatorquantizationrepresentation
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We examine the singularity resolution issue in quantum gravity by studying a new quantization of standard Friedmann-Robertson-Walker geometrodynamics. The quantization procedure is inspired by the loop quantum gravity programme, and is based on an alternative to the Schr\"odinger representation normally used in metric variable quantum cosmology. We show that in this representation for quantum geometrodynamics there exists a densely defined inverse scale factor operator, and that the Hamiltonian constraint acts as a difference operator on the basis states. We find that the cosmological singularity is avoided in the quantum dynamics. We discuss these results with a view to identifying the criteria that constitute "singularity resolution" in quantum gravity.

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Cited by 3 Pith papers

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  1. An effective Friedmann equation for a bouncing anisotropic universe

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    Derives the effective Friedmann equation and the exact parabolic shear–density relation at the bounce for polymer Bianchi-I, with constants −4, 4, 0 in the sharply peaked limit.

  2. Quantum Schwarzschild-(A)dS Black Holes: Unitarity and Singularity Resolution

    hep-th 2025-02 conditional novelty 6.0 of 10

    Unitarity in unimodular time self-adjointness resolves the Schwarzschild-(A)dS singularity and yields a quantum-corrected metric interpolating between black and white hole states.

  3. Polymer cosmology with polymer matter: Effective dynamics

    gr-qc 2025-02 conditional novelty 5.0 of 10

    A polymer-quantized scalar field on a polymer-quantized FLRW background produces a bounce whose location depends on the matter polymer scale, with generic asymmetric evolution across the bounce.

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