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Dust reference frame in quantum cosmology

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arxiv 1108.1147 v1 pith:YB242GU3 submitted 2011-08-04 gr-qc astro-ph.COhep-th

Viqar Husain , Tomasz Pawlowski This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords cosmologydustquantumarbitraryhamiltonianadditionalanalysisapplicability
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We give a formulation of quantum cosmology with a pressureless dust and arbitrary additional matter fields. The system has the property that its Hamiltonian constraint is linear in the dust momentum. This feature provides a natural time gauge, leading to a physical hamiltonian that is not a square root. Quantization leads to Schr{\"o}dinger equation for which unitary evolution is directly linked to geodesic completeness. Our approach simplifies the analysis of both Wheeler-deWitt and loop quantum cosmology (LQC) models, and significantly broadens the applicability of the latter. This is demonstrated for arbitrary scalar field potential and cosmological constant in LQC.

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Cited by 3 Pith papers

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

  1. Prism Effect in Quantum Gravity

    gr-qc 2026-07 unverdicted novelty 7.0 of 10

    Extended Born-Oppenheimer coupling of the EM field to quantum geometry yields chromatic dispersion of light—a prism effect proposed as an all-energy quantum-gravity probe on a quantum FLRW background.

  2. Polymer Bianchi-I with polymer matter

    gr-qc 2025-09 conditional novelty 5.0 of 10

    In a Bianchi-I universe with polymer quantization of both geometry and a massless scalar, the matter polymer scale shifts the quantum bounce and alters volume and anisotropy evolution.

  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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