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Bouncing Unitary Cosmology I. Mini-Superspace General Solution

Gryb, Sean and Thebault, Karim (2018) Bouncing Unitary Cosmology I. Mini-Superspace General Solution. [Preprint]


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We offer a new proposal for cosmic singularity resolution based upon a quantum cosmology with a unitary bounce. This proposal is illustrated via a novel quantization of a mini-superspace model in which there can be superpositions of the cosmological constant. This possibility leads to a finite, bouncing unitary cosmology. Whereas the usual Wheeler–DeWitt cosmology generically displays pathological behaviour in terms of non-finite expectation values and non-unitary dynamics, the finiteness and unitarity of our model are formally guaranteed. For classically singular models with a massless scalar field and cosmological constant, we show that well-behaved quantum observables can be constructed and generic solutions to the universal Schrodinger equation are singularity-free. Key features of the solutions of our model include a cosmic bounce due to quantum gravitational effects, a well-defined FLRW limit far from the bounce, and a super-inflationary epoch in the intermediate region. Furthermore, our model displays novel features including: i) superpositions of values of the cosmological constant; ii) a non-zero scattering length around the big bounce; and iii) bound ‘Efimov universe’ states for negative cosmological constant. The last feature provides a new platform for quantum simulation of the early universe. A companion paper provides detailed interpretation and analysis of particular cosmological solutions.

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Item Type: Preprint
Keywords: quantum cosmology, singularity resolution, problem of time
Subjects: Specific Sciences > Physics > Cosmology
Specific Sciences > Physics > Quantum Gravity
Depositing User: Dr Karim Thebault
Date Deposited: 19 Jan 2018 13:46
Last Modified: 19 Jan 2018 13:46
Item ID: 14307
Subjects: Specific Sciences > Physics > Cosmology
Specific Sciences > Physics > Quantum Gravity
Date: 19 January 2018

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