Models of Topology Change

Abstract

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.

arXiv comment7 pages, 3 figures

References in corpus (5)

• Classical Time Crystals
• Global Theory of Quantum Boundary Conditions and Topology Change
• TOPOLOGY CHANGE AND QUANTUM PHYSICS
• Branched Quantization
• Path Integral Junctions

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