Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Simulated Non-Local EPR Correlation: CHSH = 3

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)

A peer-reviewed article of this Preprint also exists.

Sanctuary, B. EPR Correlations Using Quaternion Spin. Quantum Reports 2024, 6, 409–425, doi:10.3390/quantum6030026. Sanctuary, B. EPR Correlations Using Quaternion Spin. Quantum Reports 2024, 6, 409–425, doi:10.3390/quantum6030026.

Abstract

A statistical simulation is presented which reproduces the correlation obtained from EPR coincidence experiments without non-local connectivity. Defining spin under the quaternion group reveals hyper-helicity, a hitherto missed attribute of spin. Including this in the treatment, reveals two complementary properties: spin polarization and spin coherence. The former has a CHSH value of 2, and spin coherence has a CHSH = 1 giving CHSH = 3 for an EPR pair. The simulation here gives 2.995. We suggest that Nature has CHSH=3 being considerable more than predicted from quantum mechanics of $2\sqrt{2}$. There are no Local Hidden Variables. We suggest that quaternion spin is more fundamental than Dirac spin. A computer program which performs the simulation without non-local connectivity is described.

Keywords

Foundations of physics; Dirac equation; Spin; Quantum Theory; non-locality; helicity

Subject

Physical Sciences, Quantum Science and Technology

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