Cosmological implications of generalized holonomy corrections

Renevey, Cyril; Martineau, Killian; Barrau, Aurélien

doi:10.48550/arxiv.2109.14400

Cited by 1 publication

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References 34 publications

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“…Both modifications are ambiguous by nature and lead to dynamical effects that we analyze in what follows. Interest in this issue from the observational perspective has resurfaced recently in [37], here we concentrate on further theoretical implications. There are other approaches for the definition of the quantum dynamics for cosmology where one starts from a more fundamental perspective at the quantum level and infers from it the symmetry reduced model [38][39][40], we note that similar ambiguities are present in these perspectives as well.…”

Section: Regularization Ambiguities Of the Hamiltonianmentioning

confidence: 99%

The landscape of polymer quantum cosmology

Amadei¹,

Pérez²,

Ribisi³

2022

Preprint

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We show that the quantization ambiguities of loop quantum cosmology, when considered in wider generality, can be used to produce discretionary dynamical behaviour. There is an infinite dimensional space of ambiguities which parallels the infinite list of higher curvature corrections in perturbative quantum gravity. There is however an ensemble of qualitative consequences which are generic in the sense that they are independent of these ambiguities. Among these, one has well defined fundamental dynamics across the big bang, and the existence of extra microscopic quantum degrees of freedom that might be relevant in discussions about unitarity in quantum gravity. We show that (in addition to the well known bouncing solutions of the effective equations) there are other generic type of solutions for sufficiently soft initial conditions in the matter sector (tunnelling solutions) where the scale factor goes through zero and the spacetime orientation is inverted. We also show that generically, a contracting semiclassical universe branches off at the big bang into a quantum superposition of universes with different quantum numbers. Despite their lack of quantitative predictive power these models offer a fertile playground for the discussion of qualitative and conceptual issues in quantum gravity.

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