Arrow of time in a recollapsing quantum universe
arXiv:gr-qc/9402036 · doi:10.1103/PhysRevD.51.4145
Abstract
We show that the Wheeler-DeWitt equation with a consistent boundary condition is only compatible with an arrow of time that formally reverses in a recollapsing universe. Consistency of these opposite arrows is facilitated by quantum effects in the region of the classical turning point. Since gravitational time dilation diverges at horizons, collapsing matter must then start re-expanding ``anticausally" (controlled by the reversed arrow) before horizons or singularities can form. We also discuss the meaning of the time-asymmetric expression used in the definition of ``consistent histories". We finally emphasize that there is no mass inflation nor any information loss paradox in this scenario.
Many conceptual clarifications included
References in corpus (8)
- Environment--Induced Decoherence, Classicality and Consistency of Quantum Histories
- The Origin of Time Asymmetry
- What is the Geometry of Superspace ?
- Sum-over-histories origin of the composition laws of relativistic quantum mechanics and quantum cosmology
- Topology, Decoherence, and Semiclassical Gravity
- Applications of a New Proposal for Solving the "Problem of Time" to Some Simple Quantum Cosmological Models
- No Time Asymmetry from Quantum Mechanics
- Time Symmetric Quantum Cosmology and Our Universe
Cited by in corpus (50)
- Decoherence, einselection, and the quantum origins of the classical
- Quantum-to-classical Transition of Cosmological Perturbations for Non-vacuum Initial States
- Quantum phantom cosmology
- Quantum cosmology from the de Broglie-Bohm perspective
- Quantum Gravity: General Introduction and Recent Developments
- Interacting classical and quantum ensembles
- Conceptual Problems in Quantum Gravity and Quantum Cosmology
- Quantum cosmology with big-brake singularity
- On the quantum fate of singularities in a dark-energy dominated universe
- FRW Quantum Cosmology with a Generalized Chaplygin Gas
- Wheeler-Dewitt Metric and the Attractivity of Gravity
- Singularity avoidance in Bianchi I quantum cosmology
- Boundary Conditions in Quantum String Cosmology
- Trajectories for the Wave Function of the Universe from a Simple Detector Model
- Where has all the information gone?
- Superpositions of the cosmological constant allow for singularity resolution and unitary evolution in quantum cosmology
- Phantom singularities and their quantum fate: general relativity and beyond
- Resolution of type IV singularities in quantum cosmology
- Symmetry and Evolution in Quantum Gravity
- Quantum Cosmology of Kantowski-Sachs like Models
- Recollapsing quantum cosmologies and the question of entropy
- Generalized Quantum Theory of Recollapsing Homogeneous Cosmologies
- Classical and quantum cosmology of the little rip abrupt event
- Quantum Tunneling Effect in Oscillating Friedmann Cosmology
- Arrow of Time in String Theory
- Inter-universal entanglement in a cyclic multiverse
- Can the Arrow of Time be understood from Quantum Cosmology?
- Quantum Cosmology
- Arrows of Time in the Bouncing Universes of the No-boundary Quantum State
- Quantum cosmology of a conformal multiverse
- Cyclic multiverses
- Chaplygin Gas Hořava-Lifshitz Quantum Cosmology
- On a Quantum Weyl Curvature Hypothesis
- Integrable Minisuperspace Models with Liouville Field: Energy Density Self-Adjointness and Semiclassical Wave Packets
- Quantum-phase-field concept of matter: Emergent gravity in the dynamic universe
- A speculative remark on holography
- Arrows of Time and Chaotic Properties of the Cosmic Background Radiation
- Irreversibility in quantum field theory
- A Momentous Arrow of Time
- Testing the problem of time with cold atoms
- Dark Energy and Life's Ultimate Future
- Quantum theory of the Lemaitre model for gravitational collapse
- Arrows of time in bouncing cosmologies
- The Nature and Origin of Time-asymmetric Spacetime Structures
- Cosmological consequences of Quantum Gravity proposals
- Observational Imprints of Our Lost Twin Anti-Universe
- On the interpretation of quantum cosmology
- Algebra of distributions of quantum-field densities and space-time properties
- Conceptual issues in quantum cosmology
- Quantum Quintom Cosmology