Models of Topology Change

Alfred D. Shapere; Frank Wilczek; Zhaoxi Xiong

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arXiv · 1210.3545

Models of Topology Change

Alfred D. Shapere·Frank Wilczek·Zhaoxi Xiong

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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.

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hep-th gr-qc quant-ph

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Alfred D. Shapere, Frank Wilczek, Zhaoxi Xiong. 2012-10-12. Models of Topology Change. https://arxiv.org/abs/1210.3545

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