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 $\mathcal{S}(\mathbb{R}^{1,1}) \otimes M_2(\mathbb{C})$, 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.
Original language | French |
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Number of pages | 23 |
Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
Volume | 10 |
Issue number | 010 |
DOIs | |
Publication status | Published - 28 Jan 2014 |