Simple model of big-crunch/big-bang transition

Abstract

We present classical and quantum dynamics of a test particle in the compactified Milne space. Background spacetime includes one compact space dimension undergoing contraction to a point followed by expansion. Quantization consists in finding a self-adjoint representation of the algebra of particle observables. Our model offers some insight into the nature of the cosmic singularity.

17 pages, no figures, RevTeX4, accepted for publication in Class. Quantum Grav

References in corpus (8)

• Quantization Methods: A Guide for Physicists and Analysts
• M Theory Model of a Big Crunch/Big Bang Transition
• The Cyclic Model Simplified
• Loop Quantum Gravity and the Cyclic Universe
• Cosmology as Relativistic Particle Mechanics: From Big Crunch to Big Bang
• Classical resolution of singularities in dilaton cosmologies
• Cosmological D-instantons and Cyclic Universes
• Closed strings in Misner space: a toy model for a Big Bounce ?

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• Excited states of a string in a time dependent orbifold
• Propagation of a string across the cosmological singularity
• Dirac quantization of membrane in time dependent orbifold
• Propagation of extended objects across singularity of time dependent orbifold