The double-slit interference fringes arise in the Heisenberg picture without non-locality once position and momentum are treated as space-time dependent operators.
Weinberg, The Quantum Theory of Fields (Cambridge University Press 1995)
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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.