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arXiv · 1911.11578

Dr. Bertlmann's Socks in the Quaternionic World of Ambidextral Reality

Joy Christian
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Abstract

In this pedagogical paper, John S. Bell's amusing example of Dr. Bertlmann's socks is reconsidered, first within a toy model of a two-dimensional one-sided world of a non-orientable M\"obius strip, and then within a real world of three-dimensional quaternionic sphere, S^3, which results from an addition of a single point to R^3 at infinity. In the quaternionic world, which happens to be the spatial part of a solution of Einstein's field equations of general relativity, the singlet correlations between a pair of entangled fermions can be understood as classically as those between Dr. Bertlmann's colorful socks.

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Joy Christian. 2019-11-25. Dr. Bertlmann's Socks in the Quaternionic World of Ambidextral Reality. https://doi.org/10.1109/access.2020.3031734

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