Lorentz and SU(3) Groups Derived from Cubic Quark Algebra
<p>We show how Lorentz and SU(3) groups can be derived from the covariance principle conserving a Z<sub>3</sub>-graded three-form on a Z<sub>3</sub>-graded cubic algebra representing quarks endowed with non-standard commutation laws. This construction suggests that the...
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| Format: | Article |
| Language: | English |
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CTU Central Library
2010-01-01
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| Series: | Acta Polytechnica |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/1187 |
| Summary: | <p>We show how Lorentz and SU(3) groups can be derived from the covariance principle conserving a Z<sub>3</sub>-graded three-form on a Z<sub>3</sub>-graded cubic algebra representing quarks endowed with non-standard commutation laws. This construction suggests that the geometry of space-time can be considered as a manifestation of symmetries of fundamental matter fields.</p> |
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| ISSN: | 1210-2709 1805-2363 |