Models of Topology Change

Alfred D. Shapere, Frank Wilczek, Zhaoxi Xiong

Research output: Working paperPreprint

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We show how changes in unitarity-preserving boundary conditions allow continuous interpolation among the Hilbert spaces of quantum mechanics on topologically distinct manifolds. We present several examples, including a computation of entanglement entropy production. We discuss approximate realization of boundary conditions through appropriate interactions, thus suggesting a route to possible experimental realization. We give a theoretical application to quantization of singular Hamiltonians, and give tangible form to the "many worlds" interpretation of wave functions.
Original languageUndefined/Unknown
StatePublished - Oct 12 2012

Bibliographical note

7 pages, 3 figures


  • hep-th
  • gr-qc
  • quant-ph


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