On Noncontextual, Non-Kolmogorovian Hidden Variable Theories

Feintzeig, Benjamin H. und Fletcher, Samuel C. (2017): On Noncontextual, Non-Kolmogorovian Hidden Variable Theories. In: Foundations of Physics, Bd. 47, Nr. 2: S. 294-315

Abstract

One implication of Bell's theorem is that there cannot in general be hidden variable models for quantum mechanics that both are noncontextual and retain the structure of a classical probability space. Thus, some hidden variable programs aim to retain noncontextuality at the cost of using a generalization of the Kolmogorov probability axioms. We generalize a theorem of Feintzeig (Br J Philos Sci 66(4): 905-927, 2015) to show that such programs are committed to the existence of a finite null cover for some quantum mechanical experiments, i.e., a finite collection of probability zero events whose disjunction exhausts the space of experimental possibilities.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Philosophie, Wissenschaftstheorie und Religionswissenschaft > Munich Center for Mathematical Philosophy (MCMP)
• Themengebiete: 100 Philosophie und Psychologie > 100 Philosophie ; 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0015-9018
• Sprache: Englisch