Gravitational θ states and the wave function of the universe

Details Gravitational θ states and the wave function of the universe Gravitational θ states and the wave function of the universe

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..37.2833h&link_type=abstract

Physical Review D (Particles and Fields), Volume 37, Issue 10, 15 May 1988, pp.2833-2837

Mathematics

Logic

12

Gauge Field Theories, Origin And Formation Of The Universe

Scientific paper

The naive no-boundary wave function of the universe is shown to be invariant under diffeomorphisms only for the simplest spacetime topologies. A more general construction which does give an invariant wave function of the universe is exhibited. Similar problems, some familiar, some not, are encountered in a wide range of theories whose physical configuration space is topologically nontrivial. These include the theory of identical particles, Yang-Mills theory, higher-dimensional gravity, and membrane theories. The sum-over-histories formulation of quantum mechanics provides a unified approach to these problems and their resolution.

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