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arXiv · 2203.09797

ER=EPR, Entanglement Topology and Tensor Networks

Louis H. Kauffman
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Abstract

This paper discusses ER = EPR, the hypothesis of Susskind and Maldacena that entangled black holes are connected by an Einstein-Rosen bridge, and that more generally, quantum entanglement is accompanied by topological connectivity. Given a background space and a quantum tensor network, we describe how to construct a new topological space, that welds the network and the background space together. This construction embodies the principle that quantum entanglement and topological connectivity are intimately related.

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Louis H. Kauffman. 2022-03-18. ER=EPR, Entanglement Topology and Tensor Networks. https://arxiv.org/abs/2203.09797

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