Zobrazeno 1 - 10
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pro vyhledávání: '"Farnsworth, Shane"'
Autor:
Besnard, Fabien, Farnsworth, Shane
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 spaces of fluctuated Dirac operators and compute them for general, almos
Externí odkaz:
http://arxiv.org/abs/2206.07039
Autor:
Farnsworth, Shane
The success of the Higgs mechanism in the standard model has led to the speculation that the standard model gauge group might arise through an analogous breaking of a yet more unified group. Such `grand unified theories' have the advantage of unifyin
Externí odkaz:
http://arxiv.org/abs/2009.03735
Autor:
Farnsworth, Shane
Publikováno v:
J. Math. Phys. 61, 101702, 2020
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 reformulate the internal structure of the standard model of particle physics
Externí odkaz:
http://arxiv.org/abs/2003.01708
Autor:
Boyle, Latham, Farnsworth, Shane
Publikováno v:
New J. Phys. 22, 073023 (2020)
We argue that the ordinary commutative-and-associative algebra of spacetime coordinates (familiar from general relativity) should perhaps be replaced, not by a noncommutative algebra (as in noncommutative geometry), but rather by a Jordan algebra (le
Externí odkaz:
http://arxiv.org/abs/1910.11888
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 discuss the associated spectral action, both for fermions and bosons. Wh
Externí odkaz:
http://arxiv.org/abs/1710.04965
Publikováno v:
Phys. Rev. D 96, 083530 (2017)
When coupling fermions to gravity, torsion is naturally induced. We consider the possibility that fermion bilinears can act as a source for torsion, altering the dynamics of the early universe such that the big bang gets replaced with a classical non
Externí odkaz:
http://arxiv.org/abs/1709.03171
Publikováno v:
Phys. Rev. D 95, 083513 (2017)
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, we find no evidence for any limit to how large the anisotropies can
Externí odkaz:
http://arxiv.org/abs/1701.05753
Autor:
Farnsworth, Shane
Publikováno v:
J. Math. Phys. 58, 023507, 2017
Forming the product of two geometric spaces is one of the most basic operations in geometry, but in the spectral-triple formulation of non-commutative geometry, the standard prescription for taking the product of two real spectral triples is problema
Externí odkaz:
http://arxiv.org/abs/1605.07035
Autor:
Boyle, Latham, Farnsworth, Shane
Publikováno v:
JHEP 1806 (2018) 071
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 structure of the standard model of particle physics. The idea, in brief, i
Externí odkaz:
http://arxiv.org/abs/1604.00847
Autor:
Farnsworth, Shane, Boyle, Latham
Publikováno v:
New J. Phys. 17, 023021 (2015)
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 gravity. In a previous paper, we suggested a reformulation of this fr
Externí odkaz:
http://arxiv.org/abs/1408.5367