Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework
- Autores
- Cirilo, Diego Julio
- Año de publicación
- 2015
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Starting from a Unified Field Theory (UFT) proposed previously by the author, the possible fermionic representations arising from the same spacetime are considered from the algebraic and geometrical viewpoint. We specifically demonstrate in this UFT general context that the underlying basis of the single geometrical structure P (G, M) (the principal fiber bundle over the real spacetime manifold M with structural group G) reflecting the symmetries of the different fields carry naturally a biquaternionic structure instead of a complex one. This fact allows us to analyze algebraically and to interpret physically in a straighforward way the Majorana and Dirac representations and the relation of such structures with the spacetime signature and non-hermitian (CP) dynamic operators. Also, from the underlying structure of the tangent space, the existence of hidden (super) symmetries and the possibility of supersymmetric extensions of these UFT models are given showing that Rothstein’s theorem is incomplete for that description. The importance of the Clifford algebras in the description of all symmetries, mainly the interaction of gravity with the other fields, is briefly discussed.
Fil: Cirilo, Diego Julio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física del Plasma. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física del Plasma; Argentina. Joint Institute for Nuclear Research; Rusia - Materia
-
Unified Field Theories
Affine Geometries
Dirac-Majorana
Poisson Manifolds
Supermanifolds - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/19289
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Algebraic Structures, Physics and Geometry from a Unified Field Theoretical FrameworkCirilo, Diego JulioUnified Field TheoriesAffine GeometriesDirac-MajoranaPoisson ManifoldsSupermanifoldshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1https://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1https://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Starting from a Unified Field Theory (UFT) proposed previously by the author, the possible fermionic representations arising from the same spacetime are considered from the algebraic and geometrical viewpoint. We specifically demonstrate in this UFT general context that the underlying basis of the single geometrical structure P (G, M) (the principal fiber bundle over the real spacetime manifold M with structural group G) reflecting the symmetries of the different fields carry naturally a biquaternionic structure instead of a complex one. This fact allows us to analyze algebraically and to interpret physically in a straighforward way the Majorana and Dirac representations and the relation of such structures with the spacetime signature and non-hermitian (CP) dynamic operators. Also, from the underlying structure of the tangent space, the existence of hidden (super) symmetries and the possibility of supersymmetric extensions of these UFT models are given showing that Rothstein’s theorem is incomplete for that description. The importance of the Clifford algebras in the description of all symmetries, mainly the interaction of gravity with the other fields, is briefly discussed.Fil: Cirilo, Diego Julio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física del Plasma. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física del Plasma; Argentina. Joint Institute for Nuclear Research; RusiaSpringer2015-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/19289Cirilo, Diego Julio; Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework; Springer; International Journal of Theoretical Physics; 54; 10; 10-2015; 3713-37270020-77481572-9575CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10773-015-2609-zinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10773-015-2609-zinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1411.5493info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:18:40Zoai:ri.conicet.gov.ar:11336/19289instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:18:41.125CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework |
title |
Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework |
spellingShingle |
Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework Cirilo, Diego Julio Unified Field Theories Affine Geometries Dirac-Majorana Poisson Manifolds Supermanifolds |
title_short |
Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework |
title_full |
Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework |
title_fullStr |
Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework |
title_full_unstemmed |
Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework |
title_sort |
Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework |
dc.creator.none.fl_str_mv |
Cirilo, Diego Julio |
author |
Cirilo, Diego Julio |
author_facet |
Cirilo, Diego Julio |
author_role |
author |
dc.subject.none.fl_str_mv |
Unified Field Theories Affine Geometries Dirac-Majorana Poisson Manifolds Supermanifolds |
topic |
Unified Field Theories Affine Geometries Dirac-Majorana Poisson Manifolds Supermanifolds |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
Starting from a Unified Field Theory (UFT) proposed previously by the author, the possible fermionic representations arising from the same spacetime are considered from the algebraic and geometrical viewpoint. We specifically demonstrate in this UFT general context that the underlying basis of the single geometrical structure P (G, M) (the principal fiber bundle over the real spacetime manifold M with structural group G) reflecting the symmetries of the different fields carry naturally a biquaternionic structure instead of a complex one. This fact allows us to analyze algebraically and to interpret physically in a straighforward way the Majorana and Dirac representations and the relation of such structures with the spacetime signature and non-hermitian (CP) dynamic operators. Also, from the underlying structure of the tangent space, the existence of hidden (super) symmetries and the possibility of supersymmetric extensions of these UFT models are given showing that Rothstein’s theorem is incomplete for that description. The importance of the Clifford algebras in the description of all symmetries, mainly the interaction of gravity with the other fields, is briefly discussed. Fil: Cirilo, Diego Julio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física del Plasma. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física del Plasma; Argentina. Joint Institute for Nuclear Research; Rusia |
description |
Starting from a Unified Field Theory (UFT) proposed previously by the author, the possible fermionic representations arising from the same spacetime are considered from the algebraic and geometrical viewpoint. We specifically demonstrate in this UFT general context that the underlying basis of the single geometrical structure P (G, M) (the principal fiber bundle over the real spacetime manifold M with structural group G) reflecting the symmetries of the different fields carry naturally a biquaternionic structure instead of a complex one. This fact allows us to analyze algebraically and to interpret physically in a straighforward way the Majorana and Dirac representations and the relation of such structures with the spacetime signature and non-hermitian (CP) dynamic operators. Also, from the underlying structure of the tangent space, the existence of hidden (super) symmetries and the possibility of supersymmetric extensions of these UFT models are given showing that Rothstein’s theorem is incomplete for that description. The importance of the Clifford algebras in the description of all symmetries, mainly the interaction of gravity with the other fields, is briefly discussed. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-10 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/19289 Cirilo, Diego Julio; Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework; Springer; International Journal of Theoretical Physics; 54; 10; 10-2015; 3713-3727 0020-7748 1572-9575 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/19289 |
identifier_str_mv |
Cirilo, Diego Julio; Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework; Springer; International Journal of Theoretical Physics; 54; 10; 10-2015; 3713-3727 0020-7748 1572-9575 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10773-015-2609-z info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10773-015-2609-z info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1411.5493 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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