Dynamical Initial Conditions in Quantum Cosmology

Abstract

Loop quantum cosmology is shown to provide both the dynamical law and initial conditions for the wave function of a universe by one discrete evolution equation. Accompanied by the condition that semiclassical behavior is obtained at large volume, a unique wave function is predicted.

4 pages, 1 figure

References in corpus (1)

• Absence of Singularity in Loop Quantum Cosmology

Cited by in corpus (85)

• Background Independent Quantum Gravity: A Status Report
• Loop Quantum Cosmology
• Quantum geometry and the Schwarzschild singularity
• Black hole evaporation: A paradigm
• Fundamental Structure of Loop Quantum Gravity
• Isotropic Loop Quantum Cosmology
• An emergent universe from a loop
• Inflation from Quantum Geometry
• Homogeneous Loop Quantum Cosmology
• Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
• Quantization Ambiguities in Isotropic Quantum Geometry
• Big Crunch Avoidance in k = 1 Semi-Classical Loop Quantum Cosmology
• Quantum gravity with a positive cosmological constant
• The Semiclassical Limit of Loop Quantum Cosmology
• Complexifier Coherent States for Quantum General Relativity
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Oscillatory Universes in Loop Quantum Cosmology and Initial Conditions for Inflation
• On the regularization ambiguities in loop quantum gravity
• Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation
• Loop Quantum Cosmology, Boundary Proposals, and Inflation
• Relation between polymer and Fock excitations
• Loop Quantum Cosmology: Recent Progress
• Loop Quantum Gravity and the Cyclic Universe
• Inflationary Cosmology and Quantization Ambiguities in Semi-Classical Loop Quantum Gravity
• Canonical quantization of general relativity in discrete space-times
• Nonsingular Black Holes and Degrees of Freedom in Quantum Gravity
• Effective State Metamorphosis in Semi-Classical Loop Quantum Cosmology
• On $R+\alpha R^2$ Loop Quantum Cosmology
• Initial Conditions for a Universe
• Qualitative Approach to Semi-Classical Loop Quantum Cosmology
• Numerical loop quantum cosmology: an overview
• Discreteness Corrections to the Effective Hamiltonian of Isotropic Loop Quantum Cosmology
• Isotropic Loop Quantum Cosmology with Matter
• On the Physical Hilbert Space of Loop Quantum Cosmology
• Absence of pre-classical solutions in Bianchi I loop quantum cosmology
• Consistency Conditions for Fundamentally Discrete Theories
• Wave functions for the Schwarschild black hole interior
• Difficulties with Recollapsing models in Closed Isotropic Loop Quantum Cosmology
• Effective Hamiltonian for Isotropic Loop Quantum Cosmology
• The Volume Operator in Spherically Symmetric Quantum Geometry
• Coordinate time dependence in Quantum Gravity
• Perturbative Degrees of Freedom in Loop Quantum Gravity: Anisotropies
• Inflationary scalar spectrum in loop quantum cosmology
• Von-Neumann Stability and Singularity Resolution in Loop Quantized Schwarzschild Black Hole
• Generating function techniques for loop quantum cosmology
• Degenerate Configurations, Singularities and the Non-Abelian Nature of Loop Quantum Gravity
• Elements of Loop Quantum Cosmology
• Observations in Quantum Cosmology
• Quantization of Friedmann-Robertson-Walker spacetimes in the presence of a negative cosmological constant and radiation
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Tachyon Matter in Loop Quantum Cosmology
• A perspective on the landscape problem
• Discrete quantum gravity: applications to cosmology
• Fermions in Loop Quantum Cosmology and the Role of Parity
• Lorentz and Galilei Invariance on Lattices
• Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology
• Hubble operator in isotropic loop quantum cosmology
• The no-boundary wave function for loop quantum cosmology
• Annihilation-to-nothing: DeWitt boundary condition inside a black hole
• The Early Universe in Loop Quantum Cosmology
• Smooth Singularities Exposed: Chimeras of the Differential Spacetime Manifold
• What kind of science is cosmology?
• Separable sequences in Bianchi I loop quantum cosmology
• Quantum Geometry and its Implications for Black Holes
• Isotropic Loop Quantum Cosmology with Matter II: The Lorentzian Constraint
• Asymptotic Properties of Difference Equations for Isotropic Loop Quantum Cosmology
• Approximate pre-classical solutions in loop quantum cosmology
• Quantum mechanics allows setting initial conditions at a cosmological singularity: Gowdy model example
• Gravitational wave generation in loop quantum cosmology
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Quantum cosmology of the brane universe
• Violation of Strong Energy Condition in Effective Loop Quantum Cosmology
• Loop quantum cosmology and the Wheeler-De Witt equation
• Universe scenarios from loop quantum cosmology
• The energy spectrum of gravitational waves in a loop quantum cosmological model
• On the Green's function and iterative solutions of Loop Quantum Cosmology
• An Approach to Loop Quantum Cosmology Through Integrable Discrete Heisenberg Spin Chains
• Quantum Geometric Description of Cosmological Models
• Mathematical structure of loop quantum cosmology
• Quantum Gravity and the Big Bang
• Discrete gravity and and its continuum limit
• A Discrete Time Presentation of Quantum Dynamics
• Canonical Relativity and the Dimensionality of the World
• Quantum Dyanmics of Loop Quantum Gravity
• Conserved quantities in isotropic loop quantum cosmology