Models of Topology Change
High Energy Physics - Theory
2012-10-15 v1 General Relativity and Quantum Cosmology
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1210.3545,
title = {Models of Topology Change},
author = {Alfred D. Shapere and Frank Wilczek and Zhaoxi Xiong},
journal= {arXiv preprint arXiv:1210.3545},
year = {2012}
}
Comments
7 pages, 3 figures