31 citations · 105 across the 13 of their papers we have counts for
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math-ph2016★ 15 cited
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…
quant-ph2016★ 23 cited
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.…
math-ph2016★ 13 cited
Polish spaces of causal curves
Tomasz Miller
We propose and study a new approach to the topologization of spaces of (possibly not all) future-directed causal curves in a stably causal spacetime. It relies on parametrizing the…