39 citations · 210 across the 12 of their papers we have counts for
8 papers · 1 filter
The geometry of physical observables
Shane Farnsworth
Jordan algebras were first introduced in an effort to restructure quantum mechanics purely in terms of physical observables. In this paper we explain why, if one attempts to reform…
The standard model, the Pati-Salam model, and "Jordan geometry"
Latham Boyle, Shane Farnsworth
We argue that the ordinary commutative-and-associative algebra of spacetime coordinates (familiar from general relativity) should perhaps be replaced, not by a noncommutative algeb…
Lorentz signature and twisted spectral triples
Agostino Devastato, Shane Farnsworth, Fedele Lizzi +1
We show how twisting the spectral triple of the Standard Model of elementary particles naturally yields the Krein space associated with the Lorentzian signature of spacetime. We di…
The Wavefunction of Anisotropic Inflationary Universes With No-Boundary Conditions
Sebastian F. Bramberger, Shane Farnsworth, Jean-Luc Lehners
We study the emergence of anisotropic (Bianchi IX) inflationary universes with no-boundary conditions in the path integral approach to quantum gravity. In contrast to previous work…
A new algebraic structure in the standard model of particle physics
Latham Boyle, Shane Farnsworth
We introduce a new formulation of the real-spectral-triple formalism in non-commutative geometry (NCG): we explain its mathematical advantages and its success in capturing the stru…
Rethinking Connes' approach to the standard model of particle physics via non-commutative geometry
Shane Farnsworth, Latham Boyle
Connes' non-commutative geometry (NCG) is a generalization of Riemannian geometry that is particularly apt for expressing the standard model of particle physics coupled to Einstein…
Non-Commutative Geometry, Non-Associative Geometry and the Standard Model of Particle Physics
Latham Boyle, Shane Farnsworth
Connes' notion of non-commutative geometry (NCG) generalizes Riemannian geometry and yields a striking reinterepretation of the standard model of particle physics, coupled to Einst…
Non-Associative Geometry and the Spectral Action Principle
Shane Farnsworth, Latham Boyle
Chamseddine and Connes have argued that the action for Einstein gravity, coupled to the SU(3)\times SU(2)\times U(1) standard model of particle physics, may be elegantly recast as…