2 citations · 2 across the 3 of their papers we have counts for
4 papers
Causal Fermion Systems, Non-Commutative Geometry and Generalized Trace Dynamics
Shane Farnsworth, Felix Finster, Claudio F. Paganini +1
We compare the structures and methods in the theory of causal fermion systems with generalized trace dynamics and non-commutative geometry. Although the three theories differ on ma…
Spectral Geometry with Exceptional Symmetry and Charged Higgs Fields
Shane Farnsworth
We lay the foundations for a general approach to nonassociative spectral geometry as an extension of Connes' noncommutative geometry by explaining how to construct finite-dimension…
The -point Exceptional Universe
Shane Farnsworth
We solve an open problem in spectral geometry: the construction of finite-dimensional, discrete geometries coordinatized by non-simple, exceptional Jordan algebras. The approach ta…
Particle models from special Jordan backgrounds and spectral triples
Fabien Besnard, Shane Farnsworth
We put forward a definition for spectral triples and algebraic backgrounds based on Jordan coordinate algebras. We also propose natural and gauge-invariant bosonic configuration sp…