Double Slit Experiment in the Non-Commutative Plane and the Quantum-to-Classical Transition

We explore a possible connection between non-commutative space and the quantum-to-classical transition by computing the outcome of a double slit experiment in the non-commutative plane. We find that the interference term undergoes a Gaussian suppression at high momentum, which translates into a mass dependent suppression for composite objects and the emergence of classical behaviour at macroscopic scales.