3 papers
gr-qc2025
An impediment to torsion from spectral geometry
Arkadiusz Bochniak, Ludwik Dąbrowski, Andrzej Sitarz +1
Modifications of standard general relativity that bring torsion into a game have a long-standing history. However, no convincing arguments exist for or against its presence in phys…
math-ph2020
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…
math-ph2020
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…