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Semiclassical Mixmaster Universe

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arxiv 2501.14891 v2 pith:SEY34GZJ submitted 2025-01-24 gr-qc hep-thquant-ph

Semiclassical Mixmaster Universe

classification gr-qc hep-thquant-ph
keywords fieldscalarcosmologyclassicalcoupledeffectivebouncemixmaster
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We present a semiclassical study of the Mixmaster cosmology minimally coupled to a massive scalar field in the Hamiltonian formalism, with focus on three distinct scenarios: the classical cosmology coupled to the quantized scalar field, and "effective" cosmology, with spacetime discreteness corrections, coupled to the classical scalar field, and to the quantized scalar field. We find several results: (i) the effective cosmology undergoes several small bounces before expanding, with scalar field excitations rising through the bounce; (ii) anisotropies rise and fall as the universe undergoes a bounce, a feature that is enhanced with matter; (iii) Lyapunov exponents reveal that chaos is reduced in the effective systems compared to the classical case.

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    gr-qc 2025-09 conditional novelty 5.0

    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.