Affine Histories in Quantum Gravity: Introduction and the Representation for a Cosmological Model

Details Affine Histories in Quantum Gravity: Introduction and the Representation for a Cosmological Model Affine Histories in Quantum Gravity: Introduction and the Representation for a Cosmological Model

2006-05-18

arxiv.org/abs/gr-qc/0605105v7

Class.Quant.Grav.24:1303-1330,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, LaTeX, no figures

Scientific paper

10.1088/0264-9381/24/5/014

It is shown how consistent histories quantum cosmology can be realised through Isham's Histories Projection Operator consistent histories scheme. This is done by using an affine algebra instead of a canonical one and also by using cocycle representations. A regularisation scheme allows us to find a history Hamiltonian which exists as a proper self-adjoint operator. The role of a cocycle choice is also discussed.

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