Quantum resolution of the cosmological singularity without new physics
arXiv:2204.01771 · doi:10.1209/0295-5075/acbc48
Abstract
We study a quantum Hot Big Bang in the connection representation, with a matter constant of motion m whose conjugate defines time. Superpositions in m induce a unitary inner product. The wavefunction reveals a resolution of the singularity problem without new physics or supplementary boundary conditions. Backtracking in time, the probability peak eventually halts at a maximum curvature, its height dropping thereafter while a symmetric contracting peak rises. The Big Bang is replaced by a superposition of contracting and expanding regular Universes. We contrast these findings with the situation in the metric representation, where boundary conditions at the singularity are needed for unitary evolution.
arXiv comment6 pages, 3 figures, letter format; v3: fixed some typos, close to published version
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