Einstein-Podolsky-Rosen experiments: the structure of the probability space. I

Foundations of Physics Letters - Tập 1 Số 3 - Trang 205-244 - 1988
Kläy, Matthias P.1
1Institute for Mathematical Studies in the Social Sciences, Stanford University, Stanford, USA

Tóm tắt

Incompatibility of measurements, central to quantum mechanics, is captured in the formalism of empirical logic, which is based on a generalization of the notion of a sample space in Kolmogoroff's axiomatic theory of probability. In composite empirical systems of the kind considered in the Einstein-Podolsky-RosenGedankenexperiment, incompatibility gives rise to the notion of influence, which is closely related to stochastic independence. These concepts are used to study the methodological structure of a large class of Einstein-Podolsky-Rosen type experiments, linking a series of much debated issues such as scientific Realism, ontological and epistemic uncertainty, determinism, locality, separability, factorizability, completeness, conservation, correlation, Bell-Clauser-Horne inequalities, and hidden-variables models to an axiomatic probability theory.

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