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Spin Geometry of Spacetime in the Dirac Theory.

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Title: Spin Geometry of Spacetime in the Dirac Theory.
Authors: Obukhov, Yuri N.1 (AUTHOR) obukhov@ibrae.ac.ru
Source: Physics of Atomic Nuclei. 2025 Suppl 4, Vol. 88, pS439-S443. 5p.
Subjects: Dirac equation, Spinor analysis, Lie groups, Lorentz groups, Spacetime
Abstract: A new approach to spinor field theory is developed on the basis of a non-trivial extension of the Lorentz spin group to a de Sitter group, which leads to a generalized Dirac equation. Within the framework of this model, it is shown that fundamental spin variables generate an induced geometric structure on the spacetime manifold. We clarify the importance of the Kerr–Schild representation in the new field-theoretical approach making it helpful for the study of the chirality issue and a possible violation of Lorentz symmetry. [ABSTRACT FROM AUTHOR]
Copyright of Physics of Atomic Nuclei is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 192685348
AccessLevel: 6
PubType: Academic Journal
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  Data: Spin Geometry of Spacetime in the Dirac Theory.
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  Data: <searchLink fieldCode="DE" term="%22Dirac+equation%22">Dirac equation</searchLink><br /><searchLink fieldCode="DE" term="%22Spinor+analysis%22">Spinor analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Lie+groups%22">Lie groups</searchLink><br /><searchLink fieldCode="DE" term="%22Lorentz+groups%22">Lorentz groups</searchLink><br /><searchLink fieldCode="DE" term="%22Spacetime%22">Spacetime</searchLink>
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  Data: A new approach to spinor field theory is developed on the basis of a non-trivial extension of the Lorentz spin group to a de Sitter group, which leads to a generalized Dirac equation. Within the framework of this model, it is shown that fundamental spin variables generate an induced geometric structure on the spacetime manifold. We clarify the importance of the Kerr–Schild representation in the new field-theoretical approach making it helpful for the study of the chirality issue and a possible violation of Lorentz symmetry. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Physics of Atomic Nuclei is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1134/S1063778825602380
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      – Code: eng
        Text: English
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        StartPage: S439
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      – SubjectFull: Dirac equation
        Type: general
      – SubjectFull: Spinor analysis
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      – SubjectFull: Lie groups
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      – SubjectFull: Lorentz groups
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      – SubjectFull: Spacetime
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      – TitleFull: Spin Geometry of Spacetime in the Dirac Theory.
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              Text: 2025 Suppl 4
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