Event-Enhanced Formalism of Quantum Theory or Columbus Solution to the Quantum Measurement Problem

Abstract

The standard formalism of quantum theory is enhanced to allow for a definite meaning to the concepts of measurement and events. Within this approach one obtains not only Liouville equation that describes statistical ensembles but also a piecewise deterministic Markov process that can be used for a computer simulation of real time series of experiments on single quantum objects. Events follow laws of probabilities but probabilities obey a causal law. A generalized cloud chamber model is discussed. The classical events account for particle tracks while the quantum jumps are shown to be identical to the spontaneous localization model of Ghirardi, Rimini and Weber. Moreover we show that the Born’s postulate is automatically satisfied. Bohm’s version of the EPR experiment is also discussed within the enhanced formalism.