18 citations · 114 across the 22 of their papers we have counts for
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Spectral interaction between universes
Arkadiusz Bochniak, Andrzej Sitarz
We derive a perturbative formula for the direct interaction between two four-dimensional geometries. Based on the spectral action principle we give an explicit potential up to the…
Spectral action and the electroweak -terms for the Standard Model without fermion doubling
Arkadiusz Bochniak, Paweł Zalecki, Andrzej Sitarz
We compute the leading terms of the spectral action for a noncommutative geometry model that has no fermion doubling. The spectral triple describing it, which is chiral and allows…
A spectral geometry for the Standard Model without the fermion doubling
Arkadiusz Bochniak, Andrzej Sitarz
We propose a simple model of noncommutative geometry to describe the structure of the Standard Model, which satisfies spin condition, has no fermion doubling, does not lead t…
Finite Pseudo-Riemannian Spectral Triples and The Standard Model
Arkadiusz Bochniak, Andrzej Sitarz
Starting from the formulation of pseudo-Riemannian generalisation of real spectral triples we develop the data of geometries over finite-dimensional algebras with indefinite metric…