On the Physical Hilbert Space of Loop Quantum Cosmology

Details On the Physical Hilbert Space of Loop Quantum Cosmology On the Physical Hilbert Space of Loop Quantum Cosmology

2004-11-09

arxiv.org/abs/gr-qc/0411039v1

Phys.Rev. D71 (2005) 044025

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.71.044025

In this paper we present a model of Riemannian loop quantum cosmology with a self-adjoint quantum scalar constraint. The physical Hilbert space is constructed using refined algebraic quantization. When matter is included in the form of a cosmological constant, the model is exactly solvable and we show explicitly that the physical Hilbert space is separable consisting of a single physical state. We extend the model to the Lorentzian sector and discuss important implications for standard loop quantum cosmology.

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