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Alternative $k=-1$ loop quantum cosmology

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arxiv 2212.05748 v2 pith:Q756XY35 submitted 2022-12-12 gr-qc

Jinsong Yang , Cong Zhang , Xiangdong Zhang This is my paper · ORCID
classification gr-qc
keywords quantummodeltermalternativeclassicalconstrainteuclideanfield
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abstract

An alternative quantization of the gravitational Hamiltonian constraint of the $k=-1$ Friedmann-Robertson-Walker model is proposed by treating the Euclidean term and the Lorentzian term independently, mimicking the treatment of full loop quantum gravity. The resulting Hamiltonian constraint operator for the $k=-1$ model with a massless scalar field is successfully constructed, and is shown to have the corrected classical limit. Compared to the former quantization schemes in the literature where only the Euclidean term is quantized, the new quantum dynamics of the $k=-1$ model with a massless scalar field indicates that the classical big-bang singularity is replaced by an asymmetric quantum bounce.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Unitary evolution and cosmic acceleration in Loop Quantum Cosmology

    gr-qc 2024-12 conditional novelty 5.0 of 10

    For any weight parameter in the improved-dynamics LQC Hamiltonian, negative weights give essentially self-adjoint operators, while positive weights require U(1)-labeled self-adjoint extensions, which the paper impleme...

  2. Echoes and quasinormal modes for static loop quantum black bounces

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Scalar perturbations of the loop quantum black bounce spacetime produce echoes in traversable-wormhole configurations with a double-barrier effective potential, but not in regular-black-hole configurations with a sing...

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