Particle-antiparticle duality from an extra timelike dimension
Abstract It is a well known fact that the usual complex structure on the real Clifford Algebra (CA) of Minkowski spacetime can be obtained by adding an extra time-like dimension, instead of the usual complexification of the algebra. In this article we explore the consequences of this approach and re...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-09-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-7311-5 |
| _version_ | 1819098179700785152 |
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| author | Marcos R. A. Arcodía Mauricio Bellini |
| author_facet | Marcos R. A. Arcodía Mauricio Bellini |
| author_sort | Marcos R. A. Arcodía |
| collection | DOAJ |
| description | Abstract It is a well known fact that the usual complex structure on the real Clifford Algebra (CA) of Minkowski spacetime can be obtained by adding an extra time-like dimension, instead of the usual complexification of the algebra. In this article we explore the consequences of this approach and reinterpret known results in this new context. We observe that Dirac particles and antiparticles at rest can be interpreted as eigenstates of the generator of rotations in the plane formed by the two time-like coordinates and find an effective finite scale for the extra dimension when no EM fields are present (without postulating compactness). In the case of non-vanishing EM fields, we find a gauge condition to preserve such a scale. |
| first_indexed | 2024-12-22T00:26:52Z |
| format | Article |
| id | doaj.art-ae6cfe34059942a48069d4fb805dc810 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-22T00:26:52Z |
| publishDate | 2019-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-ae6cfe34059942a48069d4fb805dc8102022-12-21T18:45:02ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-09-0179911310.1140/epjc/s10052-019-7311-5Particle-antiparticle duality from an extra timelike dimensionMarcos R. A. Arcodía0Mauricio Bellini1Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET)Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del PlataAbstract It is a well known fact that the usual complex structure on the real Clifford Algebra (CA) of Minkowski spacetime can be obtained by adding an extra time-like dimension, instead of the usual complexification of the algebra. In this article we explore the consequences of this approach and reinterpret known results in this new context. We observe that Dirac particles and antiparticles at rest can be interpreted as eigenstates of the generator of rotations in the plane formed by the two time-like coordinates and find an effective finite scale for the extra dimension when no EM fields are present (without postulating compactness). In the case of non-vanishing EM fields, we find a gauge condition to preserve such a scale.http://link.springer.com/article/10.1140/epjc/s10052-019-7311-5 |
| spellingShingle | Marcos R. A. Arcodía Mauricio Bellini Particle-antiparticle duality from an extra timelike dimension European Physical Journal C: Particles and Fields |
| title | Particle-antiparticle duality from an extra timelike dimension |
| title_full | Particle-antiparticle duality from an extra timelike dimension |
| title_fullStr | Particle-antiparticle duality from an extra timelike dimension |
| title_full_unstemmed | Particle-antiparticle duality from an extra timelike dimension |
| title_short | Particle-antiparticle duality from an extra timelike dimension |
| title_sort | particle antiparticle duality from an extra timelike dimension |
| url | http://link.springer.com/article/10.1140/epjc/s10052-019-7311-5 |
| work_keys_str_mv | AT marcosraarcodia particleantiparticledualityfromanextratimelikedimension AT mauriciobellini particleantiparticledualityfromanextratimelikedimension |