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Open Quantum Systems Decoherence Quantum Simulation

Physical models from noncommutative causality

arXiv
Authors: Nicolas Franco

Year

2017

Paper ID

25108

Status

Preprint

Abstract Read

~2 min

Abstract Words

91

Citations

N/A

Abstract

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 paper, we review in a non-technical way the noncommutative causal structure of many toy models as almost commutative spacetimes and the Moyal-Weyl spacetime. We show that those models present some unexpected physical interpretations as a geometrical explanation of the Zitterbewegung trembling motion of a fermion as well as some geometrical constraints on translations and energy jumps of wave packets on the Moyal spacetime.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • 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.

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