Non-local EPR Correlations Using Quaternion Spin

Bryan Sanctuary

doi:10.20944/preprints202301.0570.v7

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preprints.org > physical sciences > quantum science and technology > doi: 10.20944/preprints202301.0570.v7

Preprint Article Version 7 Preserved in Portico This version is not peer-reviewed

Non-local EPR Correlations Using Quaternion Spin

Bryan Sanctuary

Version 1 : Received: 16 January 2023 / Approved: 31 January 2023 / Online: 31 January 2023 (04:19:48 CET)
Version 2 : Received: 3 February 2023 / Approved: 6 February 2023 / Online: 6 February 2023 (02:04:35 CET)
Version 3 : Received: 31 March 2023 / Approved: 3 April 2023 / Online: 3 April 2023 (04:12:41 CEST)
Version 4 : Received: 3 April 2023 / Approved: 4 April 2023 / Online: 4 April 2023 (03:54:28 CEST)
Version 5 : Received: 29 July 2023 / Approved: 31 July 2023 / Online: 1 August 2023 (10:03:11 CEST)
Version 6 : Received: 17 October 2023 / Approved: 18 October 2023 / Online: 18 October 2023 (10:08:48 CEST)
Version 7 : Received: 26 January 2024 / Approved: 28 January 2024 / Online: 29 January 2024 (04:18:41 CET)

How to cite: Sanctuary, B. Non-local EPR Correlations Using Quaternion Spin. Preprints 2023, 2023010570. https://doi.org/10.20944/preprints202301.0570.v7 Sanctuary, B. Non-local EPR Correlations Using Quaternion Spin. Preprints 2023, 2023010570. https://doi.org/10.20944/preprints202301.0570.v7

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MDPI and ACS Style

Sanctuary, B. Non-local EPR Correlations Using Quaternion Spin. Preprints 2023, 2023010570. https://doi.org/10.20944/preprints202301.0570.v7

APA Style

Sanctuary, B. (2024). Non-local EPR Correlations Using Quaternion Spin. Preprints. https://doi.org/10.20944/preprints202301.0570.v7

Chicago/Turabian Style

Sanctuary, B. 2024 "Non-local EPR Correlations Using Quaternion Spin" Preprints. https://doi.org/10.20944/preprints202301.0570.v7

Abstract

A statistical simulation is presented which reproduces the correlation obtained from EPR coincidence experiments without non-local connectivity. In addition to the spin polarization, we identify spin coherence as an attribute, and complementary to polarization, which is anti-symmetric and generates the helicity. This changes the point particle spin to a structured one with two orthogonal magnetic moments of spin $\frac{1}{2}$ each. They couple in free flight to form a spin 1, a boson. Upon encountering a filter, the boson decouples into its two independent spins axes of $\frac{1}{2}$, with one aligning with the filter and the other randomizing. The process of decoupling from a free-flight boson to a measured fermion is responsible for the quantum correlation which results in the observed violation of Bell's Inequalities. The only variable in this work is the angle that orients a spin on the Bloch sphere, first identified in the 1920's. The new features introduced here result from changing the spin symmetry from SU(2) to the quaternion group, $Q_8$.

Keywords

foundations of physics; dirac equation; spin; quantum theory; non-locality; helicity

Subject

Physical Sciences, Quantum Science and Technology

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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