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

Christian, Joy (2020) Dr. Bertlmann's Socks in the Quaternionic World of Ambidextral Reality. [Preprint]

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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 Möbius 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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Item Type: Preprint
Creators:
CreatorsEmailORCID
Christian, Joyjjc@alum.bu.edu
Keywords: Bell's theorem, determinism, EPR argument, Geometric Algebra, local causality, local realism, quantum mechanics, rotation groups, 3-sphere, topology
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Joy Christian
Date Deposited: 20 Mar 2020 06:59
Last Modified: 20 Mar 2020 06:59
Item ID: 17013
Official URL: https://arxiv.org/abs/1911.11578
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Mechanics
Date: 18 March 2020
URI: https://philsci-archive.pitt.edu/id/eprint/17013

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