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02 November 2024
 
  » arxiv » gr-qc/9306002

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Hilbert space of wormholes
Luis J. Garay ;
Date 1 Jun 1993
Journal Phys.Rev. D48 (1993) 1710-1721
Subject gr-qc
AbstractWormhole boundary conditions for the Wheeler--DeWitt equation can be derived from the path integral formulation. It is proposed that the wormhole wave function must be square integrable in the maximal analytic extension of minisuperspace. Quantum wormholes can be invested with a Hilbert space structure, the inner product being naturally induced by the minisuperspace metric, in which the Wheeler--DeWitt operator is essentially self--adjoint. This provides us with a kind of probabilistic interpretation. In particular, giant wormholes will give extremely small contributions to any wormhole state. We also study the whole spectrum of the Wheeler--DeWitt operator and its role in the calculation of Green’s functions and effective low energy interactions.
Source arXiv, gr-qc/9306002
Other source [GID 908307] pmid10016409
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