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Open FRW model in Loop Quantum Cosmology

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arxiv 0707.1816 v4 pith:2TW4A34S submitted 2007-07-12 gr-qc

Lukasz Szulc This is my paper · ORCID
classification gr-qc
keywords quantumloopconstraintcosmologymodelopenscalaralong
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abstract

Open FRW model in Loop Quantum Cosmology is under consideration. The left and right invariant vector fields and holonomies along them are studied. It is shown that in the hyperbolic geometry of $k=-1$ it is possible to construct a suitable loop which provides us with quantum scalar constraint originally introduced by Vandersloot. The quantum scalar constraint operator with negative cosmological constant is proved to be essentially self-adjoint.

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  1. Unitary evolution and cosmic acceleration in Loop Quantum Cosmology

    gr-qc 2024-12 conditional novelty 5.0 of 10

    For any weight parameter in the improved-dynamics LQC Hamiltonian, negative weights give essentially self-adjoint operators, while positive weights require U(1)-labeled self-adjoint extensions, which the paper impleme...

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