Exploring the Causal Structures of Almost Commutative Geometries
Mathematical Physics
2014-01-29 v2 General Relativity and Quantum Cosmology
math.MP
Operator Algebras
Abstract
We investigate the causal relations in the space of states of almost commutative Lorentzian geometries. We fully describe the causal structure of a simple model based on the algebra , which has a non-trivial space of internal degrees of freedom. It turns out that the causality condition imposes restrictions on the motion in the internal space. Moreover, we show that the requirement of causality favours a unitary evolution in the internal space.
Cite
@article{arxiv.1310.8225,
title = {Exploring the Causal Structures of Almost Commutative Geometries},
author = {Nicolas Franco and Michał Eckstein},
journal= {arXiv preprint arXiv:1310.8225},
year = {2014}
}