36 citations · 170 across the 26 of their papers we have counts for
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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…
Three fermion generations with two unbroken gauge symmetries from the complex sedenions
Adam B. Gillard, Niels G. Gresnigt
We show that three generations of leptons and quarks with unbroken Standard Model gauge symmetry can be described using the algebra of complexified sedeni…
Deformations of spacetime and internal symmetries
Niels G. Gresnigt, Adam B. Gillard
Algebraic deformations provide a systematic approach to generalizing the symmetries of a physical theory through the introduction of new fundamental constants. The applications of…
The Stabilized Poincare-Heisenberg algebra: a Clifford algebra viewpoint
N. G. Gresnigt, P. F. Renaud, P. H. Butler
The stabilized Poincare-Heisenberg algebra (SPHA) is the Lie algebra of quantum relativistic kinematics generated by fifteen generators. It is obtained from imposing stability cond…