Can quantum mechanics be an emergent phenomenon?

Abstract

We raise the issue whether conventional quantum mechanics, which is not a hidden variable theory in the usual Jauch-Piron's sense, might nevertheless be a hidden variable theory in the sense recently conjectured by G. 't Hooft in his pre-quantization scheme. We find that quantum mechanics might indeed have a fully deterministic underpinning by showing that Born's rule naturally emerges (i.e., it is not postulated) when 't Hooft's Hamiltonian for be-ables is combined with the Koopmann - von Neumann operatorial formulation of classical physics.

11 pages, 2 figures. To appear in the Proceedings of the 4th International Workshop DICE2008: "From Quantum Mechanics through Complexity to Spacetime", Castiglioncello (Tuscany, Italy), September 22-26, 2008

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