Phys. Rev. Lett. 52, 1733–1736 (1984)Vacuum Topology and Incoherence in Quantum GravityReceived 9 December 1983; published in the issue dated 14 May 1984 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. © 1984 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.52.1733
DOI:
10.1103/PhysRevLett.52.1733
PACS:
04.60.+n
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