Spin Helicity
Open accessAbstract
Under the quaternion group, $Q_8$, spin helicity emerges as an element of reality, and complementary to spin polarization. Here we show that the correlation in EPR coincidence experiments is conserved upon separation from a singlet, being divided between polarization and coherence. Including helicity accounts for the violation of Bell's Inequalities without non-locality.
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The spin theory includes a Pauli bivector, iσ.
“We have developed a spin theory [7], which includes a Pauli bivector, iσ [8].”
From EPR Correlations Using Quaternion Spin (2024) · cites this paper as [8]
The complementary property to measured spin polarization is helicity.
“The complementary property to the measured spin polarization is the helicity [8].”
From EPR Correlations Using Quaternion Spin (2024) · cites this paper as [8]
The second paper shows that the correlation between an EPR pair is conserved after separation.
“The second paper [8] shows that the correlation between an EPR pair is conserved after separation.”
From EPR Correlations Using Quaternion Spin (2024) · cites this paper as [8]
Using the helicity operator in the same calculation as for a product state gives the missing correlation a • h1 • h2 • b = -sin θa sin θb.
“Using this anti-symmetric, anti-Hermitian second-rank tensor operator in the same calculation as given above for a product state gives the missing correlation [8], a • h 1 • h 2 • b = -sin θ a sin θ b”
From EPR Correlations Using Quaternion Spin (2024) · cites this paper as [8]
The total correlation at the source is conserved between particles upon local separation (Conservation of Geometric Correlation).
“This is consistent with the Conservation of Geometric Correlation [8], which states that the total correlation at the source is conserved between particles upon local separation.”
From EPR Correlations Using Quaternion Spin (2024) · cites this paper as [8]
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Cites
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Self-citationEPR Correlations Using Quaternion Spin
Sanctuary, B. (2024) · Quantum Reports · doi:10.3390/quantum6030026 · Cited by 18 · see citing works
Self-citationNon-local EPR Correlations Using Quaternion Spin
(2024) · doi:10.20944/preprints202301.0570.v7 · Cited by 5 · see citing works
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Self-citation
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Research works printed but not linked: 1
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Sanctuary, B. (2024) · Mathematics · doi:10.3390/math12131962 · Cited by 19 · see citing works
Self-citationEPR Correlations Using Quaternion Spin
Sanctuary, B. (2024) · Quantum Reports · doi:10.3390/quantum6030026 · Cited by 18 · see citing works
Self-citationVrba, A. L. (2026) · Quantum Reports · doi:10.3390/quantum8020056 · Cited by 1 · see citing works
- Authors
- Sanctuary, B.
- Affiliations
- McGill University (CA)
- Corresponding author
- Sanctuary, Bryan
- ORCID
- Sanctuary, Bryan
- Venue
- Preprints.org
- Publisher
- MDPI AG
- Published
- 2024-06-17
- OpenAlex
- W4399749900
- Cited by
- 3
- References
- 17
- Citations by year
- 2026: 1 · 2024: 2
- Type
- posted content
- Language
- en
- Open access
- green
- dx.doi.org
- Locations
- Preprints.org (acceptedVersion, cc-by)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- spin helicity, quaternion group Q8, spin polarization, singlet state, Bell inequality violation, nonlocality
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