Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology

Abstract

We construct physical semi-classical states annihilated by the Hamiltonian constraint operator in the framework of loop quantum cosmology as a method of systematically determining the regime and validity of the semi-classical limit of the quantum theory. Our results indicate that the evolution can be effectively described using continuous classical equations of motion with non-perturbative corrections down to near the Planck scale below which the universe can only be described by the discrete quantum constraint. These results, for the first time, provide concrete evidence of the emergence of classicality in loop quantum cosmology and also clearly demarcate the domain of validity of different effective theories. We prove the validity of modified Friedmann dynamics incorporating discrete quanum geometry effects which can lead to various new phenomenological applications. Furthermore the understanding of semi-classical states allows for a framework for interpreting the quantum wavefunctions and understanding questions of a semi-classical nature within the quantum theory of loop quantum cosmology.

Accepted for publication in Phys Rev D. Updated version to match

References in corpus (16)

• Black hole entropy in Loop Quantum Gravity
• Black hole entropy from Quantum Geometry
• A black hole mass threshold from non-singular quantum gravitational collapse
• On the Hamiltonian Constraint of Loop Quantum Cosmology
• Oscillatory Universes in Loop Quantum Cosmology and Initial Conditions for Inflation
• Genericness of Big Bounce in isotropic loop quantum cosmology
• Loop Quantum Gravity and the Cyclic Universe
• Effective State Metamorphosis in Semi-Classical Loop Quantum Cosmology
• Semiclassical States for Constrained Systems
• Qualitative Approach to Semi-Classical Loop Quantum Cosmology
• Genericness of inflation in isotropic loop quantum cosmology
• Discreteness Corrections to the Effective Hamiltonian of Isotropic Loop Quantum Cosmology
• On the Physical Hilbert Space of Loop Quantum Cosmology
• Effective Hamiltonian for Isotropic Loop Quantum Cosmology
• Coordinate time dependence in Quantum Gravity
• Inflationary Cosmology and Oscillating Universes in Loop Quantum Cosmology

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