59 citations · 234 across the 15 of their papers we have counts for
15 papers
Quantum causality in -Minkowski and related constraints
Nicolas Franco, Kilian Hersent, Valentine Maris +1
We study quantum causal structures in -Minkowski space-time described by a Lorentzian Spectral Triple whose Dirac operator is built from a natural set of twisted derivatio…
Quantum causality constraints on kappa-Minkowski space-time
Nicolas Franco, Jean-Christophe Wallet
The -Minkoswki space-time provides a quantum noncommutative-deformation of the usual Minkowski space-time. However, a notion of causality is difficult to be defined in such a sp…
Physical models from noncommutative causality
Nicolas Franco
We introduced few years ago a new notion of causality for noncommutative spacetimes directly related to the Dirac operator and the concept of Lorentzian spectral triple. In this pa…
The Lorentzian distance formula in noncommutative geometry
Nicolas Franco
For almost twenty years, a search for a Lorentzian version of the well-known Connes' distance formula has been undertaken. Several authors have contributed to this search, providin…
The noncommutative geometry of Zitterbewegung
Michał Eckstein, Nicolas Franco, Tomasz Miller
Based on the mathematics of noncommutative geometry, we model a 'classical' Dirac fermion propagating in a curved spacetime. We demonstrate that the inherent causal structure of th…
Metrics and causality on Moyal planes
Nicolas Franco, Jean-Christophe Wallet
Metrics structures stemming from the Connes distance promote Moyal planes to the status of quantum metric spaces. We discuss this aspect in the light of recent developments, emphas…