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Hilbert Space of Wormholes in 1+1 Dimensional Gravitation Theory

✍ Scribed by You-Gen Shen; Zhen-Qiang Tan

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 86 KB
Volume: 272
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.1998.5879

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✦ Synopsis

In this paper, we study the complete quantization of the homogeneous isotropic closed universe and prove that 1+1 dimensional quantum wormholes can be invested with a Hilbert-space structure, the inner product being naturally induced by the mini-superspace metric. The results indicate that the physical Hilbert space is separable by constructing a discrete orthonormal basic of wormhole solution.

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