Electroweak quantum numbers in the $$D_4$$ D 4 root system
Abstract We introduce four fundamental quantum numbers based on the $$D_4$$ D 4 root system, giving a unified description of quarks and leptons. These numbers will make it possible to define electric charge in a simple way. By postulating a fundamental symmetry given by the binary tetrahedral group...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13804-y |
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| _version_ | 1832585402798571520 |
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| author | Henrik Jansson |
| author_facet | Henrik Jansson |
| author_sort | Henrik Jansson |
| collection | DOAJ |
| description | Abstract We introduce four fundamental quantum numbers based on the $$D_4$$ D 4 root system, giving a unified description of quarks and leptons. These numbers will make it possible to define electric charge in a simple way. By postulating a fundamental symmetry given by the binary tetrahedral group acting on this root system, we can easily prove conservation of electric charge. Also, possible electroweak interactions are given by a simple rule where the 24-cell acts on itself by quaternion multiplication. The three generations of fermions in the Standard Model are hereby identified with the three imaginary dimensions of the quaternions. |
| format | Article |
| id | doaj-art-0c401e71b42f4894972a6509a13f0b99 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-0c401e71b42f4894972a6509a13f0b992025-01-26T12:49:22ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-018511910.1140/epjc/s10052-025-13804-yElectroweak quantum numbers in the $$D_4$$ D 4 root systemHenrik JanssonAbstract We introduce four fundamental quantum numbers based on the $$D_4$$ D 4 root system, giving a unified description of quarks and leptons. These numbers will make it possible to define electric charge in a simple way. By postulating a fundamental symmetry given by the binary tetrahedral group acting on this root system, we can easily prove conservation of electric charge. Also, possible electroweak interactions are given by a simple rule where the 24-cell acts on itself by quaternion multiplication. The three generations of fermions in the Standard Model are hereby identified with the three imaginary dimensions of the quaternions.https://doi.org/10.1140/epjc/s10052-025-13804-y |
| spellingShingle | Henrik Jansson Electroweak quantum numbers in the $$D_4$$ D 4 root system European Physical Journal C: Particles and Fields |
| title | Electroweak quantum numbers in the $$D_4$$ D 4 root system |
| title_full | Electroweak quantum numbers in the $$D_4$$ D 4 root system |
| title_fullStr | Electroweak quantum numbers in the $$D_4$$ D 4 root system |
| title_full_unstemmed | Electroweak quantum numbers in the $$D_4$$ D 4 root system |
| title_short | Electroweak quantum numbers in the $$D_4$$ D 4 root system |
| title_sort | electroweak quantum numbers in the d 4 d 4 root system |
| url | https://doi.org/10.1140/epjc/s10052-025-13804-y |
| work_keys_str_mv | AT henrikjansson electroweakquantumnumbersinthed4d4rootsystem |