EPR Correlations Using Quaternion Spin

Bryan Sanctuary

doi:10.20944/preprints202301.0570.v8

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preprints.org > physical sciences > quantum science and technology > doi: 10.20944/preprints202301.0570.v8 (registering DOI)

Preprint Article Version 8 This version is not peer-reviewed

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)
Version 8 : Received: 12 July 2024 / Approved: 15 July 2024 / Online: 17 July 2024 (04:27:06 CEST)

How to cite: Sanctuary, B. EPR Correlations Using Quaternion Spin. Preprints 2023, 2023010570. https://doi.org/10.20944/preprints202301.0570.v8 Sanctuary, B. EPR Correlations Using Quaternion Spin. Preprints 2023, 2023010570. https://doi.org/10.20944/preprints202301.0570.v8

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MDPI and ACS Style

Sanctuary, B. EPR Correlations Using Quaternion Spin. Preprints 2023, 2023010570. https://doi.org/10.20944/preprints202301.0570.v8

APA Style

Sanctuary, B. (2024). EPR Correlations Using Quaternion Spin. Preprints. https://doi.org/10.20944/preprints202301.0570.v8

Chicago/Turabian Style

Sanctuary, B. 2024 "EPR Correlations Using Quaternion Spin" Preprints. https://doi.org/10.20944/preprints202301.0570.v8

Abstract

{We present a statistical simulation replicating the correlation observed in EPR coincidence experiments without needing non-local connectivity. We define spin coherence as a spin attribute that complements polarization by being anti-symmetric and generating helicity. Point particle spin becomes structured with two orthogonal magnetic moments, each with a spin of $\frac{1}{2}$—these moments couple in free flight to create a spin-1 boson. Depending on its orientation in the field, when it encounters a filter, it either decouples into two independent fermion spins of $\frac{1}{2}$, or it remains a boson and precesses without decoupling. The only variable in this study is the angle that orients a spin on the Bloch sphere, first identified in the 1920s. There are no hidden variables. The new features introduced in this work result from changing the spin symmetry from SU(2) to the quaternion group, $Q_8$, which complexifies the Dirac field. The transition from a free-flight boson to a measured fermion is the reason for the observed violation of Bell's Inequalities and resolves the EPR paradox.

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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