https://doi.org/10.1140/epjc/s10052-025-13804-y
Regular Article - Theoretical Physics
Electroweak quantum numbers in the 
root system
, Stockholm, Sweden
Received:
21
October
2024
Accepted:
9
January
2025
Published online:
25
January
2025
We introduce four fundamental quantum numbers based on the 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.
© The Author(s) 2025
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