59 citations · 348 across the 28 of their papers we have counts for
3 papers · 1 filter
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…
Causal evolution of wave packets
Michał Eckstein, Tomasz Miller
Drawing from the optimal transport theory adapted to the relativistic setting we formulate the principle of a causal flow of probability and apply it in the wave packet formalism.…
The Moyal Sphere
Michał Eckstein, Andrzej Sitarz, Raimar Wulkenhaar
We construct a family of constant curvature metrics on the Moyal plane and compute the Gauss-Bonnet term for each of them. They arise from the conformal rescaling of the metric in…