Mathematics – Logic
Scientific paper
Apr 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005aps..apru10009c&link_type=abstract
American Physical Society, APS April Meeting, April 16-19, 2005, abstract #U10.009
Mathematics
Logic
Scientific paper
Quantum mechanics normally requires that a history of a system be measured before the probability of that history can be meaningfully discussed. In quantum cosmology, measurement is not an available option and other strategies must be sought. ``Decoherent histories'' formulations of quantum theory take the hint from ordinary quantum mechanics that measurement serves to destroy interference between alternative histories and formalizes this observation into a scheme for making internally consistent quantum predictions for closed systems even in the absence of anything that resembles a classical measurement situation. These ideas have already been applied by Hartle and the author to the construction of a consistent quantum theory of recollapsing homogeneous universes -- the so-called ``Bianchi IX'' cosmological models. In this contribution I discuss the application of this quantum theory to the example of the recollapsing Friedmann-Robertson- Walker cosmology. In particular, coarse grainings suitable to characterize quasiclassical behavior are described, and the branch wave functions for quasiclassical FRW cosmologies are exhibited.
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