Non-Local EPR Correlations using Quaternion Spin

Bryan Sanctuary

doi:10.20944/preprints202301.0570.v4

Submit preprint
How it Works
Instructions for Authors
Subject Areas
Advisory Board
screening preprints
About
Awards
Log in/Register

Instructions for Authors
Awards
About
FAQ
Submit Log in/Register

Share this article with

Create alert

Email:

Load new image

preprints.org > physical sciences > quantum science and technology > doi: 10.20944/preprints202301.0570.v4

Preprint Article Version 4 Preserved in Portico This version is not peer-reviewed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)
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. We suggest that spin carries two complementary properties. In addition to the spin polarization, we identify spin coherence. This spin attribute is anti-symmetric and generates the helicity. In addition this spin has structure formed from two orthogonal magnetic moments. From these, a resonance spin results from their coupling in free flight. Upon encountering a filter, the resonance spin 1 decouples back into two independent spins of $\frac{1}{2}$, with one aligning with the filter and the other randomizing. The process of decoupling the resonance spin is responsible for the quantum correlation which results in the observe violation of Bell's Inequalities. The polarized states give a CHSH value of 2 while the resonance spin give a CHSH value of 1. Coherence can only be formulated by the existence of a bivector which gives a spin the same geometric structure as a photon. Although this work is not about Bell's theorem, we note that there are no hidden variables (HV). The only local variable is the angle that orients a spin on the Bloch sphere, first identified in the 1920's. The new features introduced are changing the spin symmetry from SU(2) to the quaternion group, $Q_8$, and the introduction of a bivector into spin which leads to an element of reality which is anti-Hermitian. The calculations use standard spin algebra, and properties of quaternions.

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.

Download PDF Download Supplementary

Comments (2)

Comment 1

Received: 4 April 2023
Commenter: Bryan Sanctuary
Commenter's Conflict of Interests: Author

Comment: I had the references to PrePrints with the volume number which took readers to the earlier versions. I have changed that only

+ Respond to this comment

Comment 2

Received: 7 April 2023
Commenter: Richard David Gill
The commenter has declared there is no conflict of interests.

Comment: According to formula (32) and some other remarks in the paper, the correlation which is predicted by this model is actually a 75:25 mixture of the famous saw-tooth or triangular wave, and the "French mustache" curve, which the author associates with polarization and coherence respectively. Neither curve violates Bell-CHSH inequalities so their mixture does not either, and hence cannot be anywhere near the negative cosine predicted by the conventional QM EPR-B model. The author writes that his work has nothing to do with Bell's theorem but actually it has everything to do with that theorem, since his two "submodels" (polarization, coherence) are local hidden variable models in Bell's mathematical sense of that phrase. NB. "hidden" means, hidden with respect to conventional QM; "local" means that the measurement functions only depend on the local setting.

+ Respond to this comment

Not displayed online.

Importance: How significant is the paper to the field?

Outstanding/highlight paper

Significant contribution

Incremental contribution

No contribution

I am not qualified to judge

Soundness of evidence/arguments presented:

Conclusions well supported

Most conclusions supported (minor revision needed)

Incomplete evidence (major revision needed)

Hypothesis, unsupported conclusions, or proof-of-principle

I am not qualified to judge

Please leave your comment to this article below.

Mathematical equations can be typed in either LaTeX formats \\[ ... \\] or $$ ... $$, or MathML format <math> ... </math>. Try the LaTeX or MathML example.

Type equation:

Preview:

Copy equation into message below

Close menu

Please click a symbol to insert it into the message box below:

Please enter the link here:

Please enter a valid URL

Optionally, you can enter text that should appear as linked text:

Copy link into message below

Close menu

Please enter or paste the URL to the image here (please only use links to jpg/jpeg, png and gif images):

Please enter a valid URL

Copy image into message below

Close menu

Type author name or keywords to filter the list of references in this group (you can add a new citation under Bibliography):

No existing citations in Discussion Group

Wikify editor is a simple editor for wiki-style mark-up. It was written by MDPI for Sciforum in 2014. The rendering of the mark-up is based on Wiky.php with some tweaks. Rendering of mathematical equations is done with MathJax. Please send us a message for support or for reporting bugs.

Close menu

Please declare any conflicts of interest you may have with this paper, financial or otherwise.

I do not have a conflict of interest

I would like to declare a conflict of interest

Display my name on the website Send my name and email address to the authors

Captcha

Renew

I accept the following conditions:

Comments must follow the standards of professional discourse and should focus on the scientific content of the article. Insulting or offensive language, personal attacks and off-topic remarks will not be permitted. Comments must be written in English. Preprints reserves the right to remove comments without notice. Readers who post comments are obliged to declare any competing interests, financial or otherwise.

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)

* All users must log in before leaving a comment

what’s this?

Add a record of this review to Publons to track and showcase your reviewing expertise across the world’s journals.

Downloads 0

Comments 2

Get PDF Supplementary Files Cite Share 0

Bookmark BibSonomy Mendeley Reddit Delicious

Alerts

Notify me about updates to this article or when a peer-reviewed version is published.

Preprints.org is a free preprint server subsidized by MDPI in Basel, Switzerland.

MDPI Initiatives

SciProfiles
Sciforum
Encyclopedia
MDPI Books
Scilit
Proceedings
JAMS

Important links

How it Works
Advisory Board
FAQ
Friendly Journals
Instructions for Authors
About
Statistics

Choose the area that interest you and we will send you notifications of new preprints at your preferred frequency.

Disclaimer

We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.

RSS feed for

Preprints: The Multidisciplinary Preprint Platform

Paste the URL in your RSS reader:

https://www.preprints.org/rss

If you want to subscribe our website in subject-wide, you could find the URL by choosing in the following:

https://www.preprints.org/rss

Please note that by using ScienceDirect RSS feeds, you agree to our Terms of Use and Privacy Policy.