activity
20062026
most citedThree fermion generations with two unbroken gauge symmetries from the complex sedenions

36 citations · 170 across the 26 of their papers we have counts for

collaborators

26 papers

math-ph2026

Constraints for Physical Gauge Groups Coming from the Causal Action Principle

Felix Finster, Niels Gresnigt

The constraints for the effective local gauge groups stemming from the causal action principle for causal fermion systems are reviewed. The constraint which are quadratic in the ga…

physics.gen-ph2026

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…

physics.gen-ph2026

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…

physics.gen-ph2026

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…

hep-th2024★ 4 cited

Algebraic realisation of three fermion generations with family and unbroken gauge symmetry from

Liam Gourlay, Niels Gresnigt

Building on previous work, we extend an algebraic realisation of three fermion generations within the complex Clifford algebra by incorporating a ga…

math-ph2024★ 5 cited

Causal Fermion Systems and Octonions

Felix Finster, Niels G. Gresnigt, J. M. Isidro +3

We compare the structures and methods in the theory of causal fermion systems with approaches to fundamental physics based on division algebras, in particular the octonions. We fin…