Richard Kerner

Université Pierre et Marie Curie (Paris, France)

Space-time emerging from quark algebra

Abstract:
Ternary generalization of the Pauli principle is introduced via cubic relations involving the cubic root of unity instead of (-1) in the usual case. The group of automorphisms of thus introduces quark algebra turns out to be the Spin group of the Minkowskian space. Vector representation also appears naturally. Next we discuss the tenary generalization of Dirac's equation and cubic Clifford algebras, and non-associative ternary algebras appearing in this formalism.