Quantum Big Bang without fine-tuning in a toy-model

Details Quantum Big Bang without fine-tuning in a toy-model Quantum Big Bang without fine-tuning in a toy-model

2011-05-06

arxiv.org/abs/1105.1282v1

Journal of Physics: Conference Series 343 (2012) 012136

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pp., 1 fig., invited talk for the conference "10th Workshop on Quantization, Dualities and Integrable Systems" (April 22 -

Scientific paper

10.1088/1742-6596/343/1/012136

The question of possible physics before Big Bang (or after Big Crunch) is addressed via a schematic non-covariant simulation of the loss of observability of the Universe. Our model is drastically simplified by the reduction of its degrees of freedom to the mere finite number. The Hilbert space of states is then allowed time-dependent and singular at the critical time $t=t_c$. This option circumvents several traditional theoretical difficulties in a way illustrated via solvable examples. In particular, the unitary evolution of our toy-model quantum Universe is shown interruptible, without any fine-tuning, at the instant of its bang or collapse $t= t_c$.

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