Bouncing unitary cosmology I. Mini-superspace general solutionGryb, S. & Thebault, K. P. Y., 18-Jan-2019, In : Classical and Quantum Gravity. 36, 3, 32 p., 035009.
Research output: Contribution to journal › Article › Academic › peer-review
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. Generic solutions of our model displays novel features including: (i) superpositions of values of the cosmological constant; (ii) universal effective physics due to non-trivial self-adjoint extensions of the Hamiltonian; 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 that display a cosmic bounce due to quantum gravitational effects, a well-defined FLRW limit far from the bounce, and a semi-classical turnaround point in the dynamics of the scalar field which resembles an effective inflationary epoch.
|Number of pages||32|
|Journal||Classical and Quantum Gravity|
|Publication status||Published - 18-Jan-2019|
- quantum cosmology, singularity resolution, cosmological constant, problem of time, bouncing cosmology, GRAVITATIONAL COLLAPSE, INFLATIONARY UNIVERSE, COMPLETE OBSERVABLES, HAWKING RADIATION, QUANTUM, TIME, ANALOG, SINGULARITIES, EQUATIONS, EVOLUTION