Relational Particle Models. II. Use as toy models for quantum geometrodynamics

Details Relational Particle Models. II. Use as toy models for quantum geometrodynamics Relational Particle Models. II. Use as toy models for quantum geometrodynamics

2005-11-14

arxiv.org/abs/gr-qc/0511069v2

Class.Quant.Grav. 23 (2006) 2491-2518

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Replaced with published version. Minor changes only; 1 reference corrected

Scientific paper

Relational particle models are employed as toy models for the study of the Problem of Time in quantum geometrodynamics. These models' analogue of the thin sandwich is resolved. It is argued that the relative configuration space and shape space of these models are close analogues from various perspectives of superspace and conformal superspace respectively. The geometry of these spaces and quantization thereupon is presented. A quantity that is frozen in the scale invariant relational particle model is demonstrated to be an internal time in a certain portion of the relational particle reformulation of Newtonian mechanics. The semiclassical approach for these models is studied as an emergent time resolution for these models, as are consistent records approaches.

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