36 citations · 170 across the 26 of their papers we have counts for
12 papers · 1 filter
Sedenions, Clifford Algebras, and Three Fermion Generations: A Focused Review
Niels Gresnigt
The existence of three fermion generations remains one of the unexplained structural features of the Standard Model. This article reviews an algebraic framework in which an intrins…
Higgs and Yukawa Structure in a Clifford Algebra Model with Three Generations and Family Symmetry
Niels Gresnigt
We construct the Higgs and Yukawa sectors as a structural completion of an algebraic three-generation model based on the complex Clifford algebra with an intri…
Electroweak Structure and Three Fermion Generations in Clifford Algebra with S3 Family Symmetry
Niels Gresnigt
We construct an explicit algebraic realisation of three fermion generations within a single Clifford algebra, transforming under the full Standard Model $SU(3)_C\times SU(2)_L\time…
Three generations of colored fermions with family symmetry from Cayley-Dickson sedenions
Niels G. Gresnigt, Liam Gourlay, Abhinav Varma
An algebraic representation of three generations of fermions with color symmetry based on the Cayley-Dickson algebra of sedenions is constructed. Recent cons…
A topological model of composite preons from the minimal ideals of two Clifford algebras
Niels G. Gresnigt
We demonstrate a direct correspondence between the basis states of the minimal ideals of the complex Clifford algebras and , shown earlier to…
The Standard Model particle content with complete gauge symmetries from the minimal ideals of two Clifford algebras
Niels G. Gresnigt
Building upon previous works, it is shown that two minimal left ideals of the complex Clifford algebra and two minimal right ideals of trans…