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Quantum cosmology as a lattice in a box

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arxiv 2407.08117 v2 pith:ZDURDKD6 submitted 2024-07-11 gr-qc

Mustafa Saeed , Viqar Husain This is my paper · ORCID
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keywords latticecosmologyeffectiveequationsquantizationquantumvariablesbounce
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We describe quantization schemes for scalar field cosmology in the metric variables with fundamental discreteness imposed with a lattice. The variables chosen for quantization determine the lattice, and each lattice produces distinct effective equations derived from semiclassical states. We show that requiring a bounce at the Planck density uniquely selects the volume lattice and gives the same effective Friedmann equation as that obtained in loop quantum cosmology. We also present conditions for the validity of the effective equations.

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  1. 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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