1204.0614 (Arthur Jabs)

A conjecture concerning determinism and phases in quantum mechanics    [PDF]

Arthur Jabs

It is shown that it is possible to introduce determinism into quantum mechanics by tracing the probabilities in the Born rules back to pseudorandomness in the absolute phase constants of the wave functions. Each wave function is multiplied by an individual phase factor exp(i alpha) with a phase constant alpha and represents an individual quantum system. In an ensemble of systems the phase constants are conceived to be pseudorandom numbers distributed uniformly in [0, 2 pi]. Besed on the phase constants of both the system measured and one of the small clusters in the measuring apparatus, a criterion is conjectured which determines the occurrence of a reduction (collapse), taken as a spatial contraction, and thus determines the outcome of any individual measurement. Nonlocality and contextuality are accounted for.

View original: http://arxiv.org/abs/1204.0614