18 citations · 114 across the 22 of their papers we have counts for
7 papers · 1 filter
On stability of Friedmann-Lemaître-Robertson-Walker solutions in doubled geometries
Arkadiusz Bochniak, Andrzej Sitarz
Motivated by the models of geometry with discrete spaces as additional dimensions we investigate the stability of cosmological solutions in models with two metrics of the Friedmann…
Dynamical generalization of Yetter's model based on a crossed module of discrete groups
Arkadiusz Bochniak, Leszek Hadasz, Błażej Ruba
We construct a dynamical lattice model based on a crossed module of possibly non-abelian finite groups. Its degrees of freedom are defined on links and plaquettes, while gauge tran…
Riemannian Geometry of a Discretized Circle and Torus
Arkadiusz Bochniak, Andrzej Sitarz, Paweł Zalecki
We extend the results of Riemannian geometry over finite groups and provide a full classification of all linear connections for the minimal noncommutative differential calculus ove…
Constraints of kinematic bosonization in two and higher dimensions
Arkadiusz Bochniak, Blazej Ruba, Jacek Wosiek +1
Contrary to the common wisdom, local bosonizations of fermionic systems exist in higher dimensions. Interestingly, resulting bosonic variables must satisfy local constraints of a g…
Bosonization based on Clifford algebras and its gauge theoretic interpretation
Arkadiusz Bochniak, Błażej Ruba
We study the properties of a bosonization procedure based on Clifford algebra valued degrees of freedom, valid for spaces of any dimension. We present its interpretation in terms o…
Pseudo-Riemannian Structures in Pati-Salam models
Arkadiusz Bochniak, Thomas E. Williams, Paweł Zalecki
We discuss the role of the pseudo-Riemannian structure of the finite spectral triple for the family of Pati-Salam models. We argue that its existence is a very restrictive conditio…
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…