Probing the cosmological singularity with a particle

Abstract

We examine the transition of a particle across the singularity of the compactified Milne (CM) space. Quantization of the phase space of a particle and testing the quantum stability of its dynamics are consistent to one another. One type of transition of a quantum particle is described by a quantum state that is continuous at the singularity. It indicates the existence of a deterministic link between the propagation of a particle before and after crossing the singularity. Regularization of the CM space leads to the dynamics similar to the dynamics in the de Sitter space. The CM space is a promising model to describe the cosmological singularity deserving further investigation by making use of strings and membranes.

19 pages, 7 figures, revtex4, added references, version accepted for publication in Class. Quantum Grav

References in corpus (22)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• The Cosmic Triangle: Revealing the State of the Universe
• The Pre-Big Bang Scenario in String Cosmology
• Cosmic Evolution in a Cyclic Universe
• From Big Crunch to Big Bang
• A Cyclic Model of the Universe
• Loop Quantum Cosmology
• The motion of point particles in curved spacetime
• Loop quantum gravity: an outside view
• M Theory Model of a Big Crunch/Big Bang Transition
• The Cyclic Model Simplified
• Quantization of the canonically conjugate pair angle and orbital angular momentum
• On (Cosmological) Singularity Avoidance in Loop Quantum Gravity
• Unboundedness of Triad -- Like Operators in Loop Quantum Gravity
• Classical Propagation of Strings across a Big Crunch/Big Bang Singularity
• Cosmology as Relativistic Particle Mechanics: From Big Crunch to Big Bang
• The conformally invariant Laplace-Beltrami operator and factor ordering
• Simple model of big-crunch/big-bang transition
• Quantization and spacetime topology
• Quantum particle on hyperboloid
• Classical resolution of singularities in dilaton cosmologies
• Cosmological D-instantons and Cyclic Universes

Cited by in corpus (7)

• Cosmology in the laboratory: an analogy between hyperbolic metamaterials and the Milne universe
• Modeling Kleinian cosmology with electronic metamaterials
• Geometric theory of topological defects: methodological developments and new trends
• Excited states of a string in a time dependent orbifold
• Propagation of a string across the cosmological singularity
• Propagation of extended objects across singularity of time dependent orbifold
• Dirac quantization of membrane in time dependent orbifold