Contextual measurement model and quantum theory

Author:

Khrennikov Andrei1ORCID

Affiliation:

1. International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University , 35195 Växjö, Sweden

Abstract

We develop a contextual measurement model (CMM) that is used for the clarification of the quantum foundations. This model matches Bohr’s views on the role of experimental contexts. CMM is based on a contextual probability theory that is connected with generalized probability theory. CMM covers measurements in classical, quantum and semi-classical physics. The CMM formalism is illustrated by a few examples. We consider the CMM framing of classical probability, the von Neumann measurement theory and the quantum instrument theory. CMM can also be applied outside of physics, e.g. in cognition, decision-making and psychology, the so-called quantum-like modelling.

Publisher

The Royal Society

Reference69 articles.

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4. Koopman BO . 1955 Quantum theory and the foundations of probability. In Applied probability (ed. LA MacColl ), pp. 97–102, New York, NY: McGraw-Hill. (doi:10.1090/psapm/007)

5. Quantum Mechanics and Hilbert Space

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