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An Exceptional Combinatorial Sequence and Standard Model Particles
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Three-graded root systems can be arranged into nested sequences. One exceptional sequence provides a natural means to recover some structures and symmetries familiar in the context of particle physics.
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Cited by 2 Pith papers
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Jordan Pair Quantum Theory and the Standard Model
The bi-Cayley hermitian Jordan triple yields the Standard Model gauge group and fermion representation through colinear minimal tripotents and their Peirce spaces.
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Three Generations in E7
This paper shows that the Standard Model symmetry algebra embedded in E7 acts on three separate 32-dimensional subspaces, each equivalent to one generation of fermions and antifermions, describable as the exterior alg...
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