Unitarily inequivalent quantum cosmological bouncing models
Preprint
Abstract
By quantising the background as well as the perturbations in a simple one fluid model, we show that there exists an ambiguity in the choice of relevant variables, potentially leading to incompatible observational physical predictions. In a classical or quantum inflationary background, the exact same canonical transformations lead to unique predictions, so the ambiguity we put forward demands a semiclassical background with a sufficiently strong departure from classical evolution. The latter condition happens to be satisfied in bouncing scenarios, which may thus be having predictability issues. Inflationary models could evade such a problem because of the monotonic behavior of their scale factor; they do, however, initiate from a singular state which bouncing scenarios aim at solving.Keywords
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This publication has 24 references indexed in Scilit:
- Hamiltonian formalism and gauge-fixing conditions for cosmological perturbation theoryClassical and Quantum Gravity, 2019
- Primordial gravitational waves in a quantum model of big bounceJournal of Cosmology and Astroparticle Physics, 2018
- Three examples of quantum dynamics on the half-line with smooth bouncingAnnals of Physics, 2018
- What is dynamics in quantum gravity?Classical and Quantum Gravity, 2017
- Bouncing Cosmologies: Progress and ProblemsFoundations of Physics, 2017
- Covariant affine integral quantization(s)Journal of Mathematical Physics, 2016
- A critical review of classical bouncing cosmologiesPhysics Reports, 2015
- Inflationary Perturbations: The Cosmological Schwinger Effect2007
- The affine quantum gravity programmeClassical and Quantum Gravity, 2002
- Obstruction results in quantization theoryJournal of Nonlinear Science, 1996