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 algebra ΛC5.
Jordan Pair Quantum Theory and the Standard Model
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Jordan pairs and hermitian Jordan triples were discovered by mathematicians studying Jordan algebras, which describe the possible algebras of observables in quantum mechanics. We point out a striking correspondence between the doubly exceptional hermitian Jordan triple (the so-called ``bi-Cayley'' triple) and the structure of the Standard Model of particle physics. We also point out how ordinary quantum mechanics may be reformulated, and generalized, using hermitian Jordan triples.
citation-role summary
background 1
citation-polarity summary
fields
math-ph 1years
2026 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
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 algebra ΛC5.