A Microscopic Liouville Arrow of Time
arXiv:hep-th/9805120 · doi:10.1016/S0960-0779(98)00152-0
Abstract
We discuss the treatment of quantum-gravitational fluctuations in the space-time background as an `environment', using the formalism for open quantum-mechanical systems, which leads to a microscopic arrow of time. After reviewing briefly the open-system formalism, and the motivations for treating quantum gravity as an `environment', we present an example from general relativity and a general framework based on non-critical strings, with a Liouville field that we identify with time. We illustrate this approach with calculations in the contexts of two-dimensional models and branes. Finally, some prospects for observational tests of these ideas are mentioned.
24 pages LATEX, two figures incorporated. Invited Review for the ``Journal of Chaos, Solitons and Fractals'', Special Issue on: ``Superstrings, M, F, S, ... theory'', eds. C. Castro and M. S. El Naschie
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