Vacuum topology and incoherence in quantum gravity

Details Vacuum topology and incoherence in quantum gravity Vacuum topology and incoherence in quantum gravity

May 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phrvl..52.1733s&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 52, May 14, 1984, p. 1733-1736.

Mathematics

Probability

46

Gravitation Theory, Saddle Points (Game Theory), Topology, Vacuum, Eigenvalues, Yang-Mills Theory

Scientific paper

An explicit expression is derived for the quantum gravitational vacuum state by use of the saddle-point approximation and a conformally invariant action. It consists of a superposition of zero-energy classical vacua that differ in the topology both of the local Lorentz frames (leading to CP nonconservation) and of space itself. Space is found to have Planck-size wormholes and spinorial knots, and is surrounded by a vapor of disconnected submanifolds. The scattering matrix constructed on this vacuum is not unitary but the superscattering matrix conserves probability.

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