Popper's propensity interpretation viewed from modern quantum mechanics

Abstract

Popperʼs analysis of the conceptual problems of quantum mechanics and the propensity interpretation of probability are reviewed. Although these theories do not prove to be sufficient in resolving issues with regard to quantum mechanics, there exists a modern theory, stochastic mechanics, that validates Popperʼs framework. Two aspects of his idea in particular, are essential for stochastic mechanics to explain quantum mechanics without any conceptual confusion. One is that a whole experimental arrangement determines a propensity field. The other is that propensity is objective and is qualified to be considered as a physical entity. This relationship between Popperʼs philosophy and stochastic mechanics is illustrated with an example of the double-slit experiment, wherein Popperʼs theory is proved.