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arXiv · 2409.15385

Electroweak Quantum Numbers in the $D_4$ Root System

Henrik Jansson
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Abstract

We introduce four fundamental quantum numbers based on the $D_4$ 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.

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Henrik Jansson. 2024-09-21. Electroweak Quantum Numbers in the $D_4$ Root System. https://arxiv.org/abs/2409.15385

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