The double-slit interference fringes arise in the Heisenberg picture without non-locality once position and momentum are treated as space-time dependent operators.
Hilgevoord, Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36, 29 (2005)
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Double Slit Experiment in the Heisenberg Picture of Quantum Mechanics
The double-slit interference fringes arise in the Heisenberg picture without non-locality once position and momentum are treated as space-time dependent operators.