On the Physical Hilbert Space of Loop Quantum Cosmology

Abstract

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.

References in corpus (4)

• Black hole entropy in Loop Quantum Gravity
• Black hole entropy from Quantum Geometry
• Difficulties with Recollapsing models in Closed Isotropic Loop Quantum Cosmology
• Coordinate time dependence in Quantum Gravity

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