1307.1916 (Edward Anderson)

Minisuperspace model of Machian Resolution of Problem of Time. I.
Isotropic Case    [PDF]

Edward Anderson

A local resolution to the Problem of Time that is Machian and was previously demonstrated for various relational mechanics models is here shown to work for a more widely studied quantum cosmological model. Namely, closed isotropic minisuperspace GR with minimally-coupled scalar field matter. This uses work firstly along the lines of Barbour's at the classical level. Secondly, it uses a Machianized version of the Semiclassical Approach to Quantum Cosmology. Finally, it uses a combined Machianized version of a combined Semiclassical Histories Timeless Records scheme along the lines of Halliwell's work. This program's goal is the treatment of Halliwell--Hawking type inhomogeneous perturbations about the present paper's model, drawing also qualitatively from the relational mechanics examples since these have nontrivial notions of inhomogeneity/structure (clumping) as well as nontrivial linear constraints.

View original: http://arxiv.org/abs/1307.1916