Contextual measurement model and quantum theory
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 measu...
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| Format: | Article |
| Language: | English |
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The Royal Society
2024-03-01
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| Series: | Royal Society Open Science |
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| Online Access: | https://royalsocietypublishing.org/doi/10.1098/rsos.231953 |
| _version_ | 1797236814800486400 |
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| author | Andrei Khrennikov |
| author_facet | Andrei Khrennikov |
| author_sort | Andrei Khrennikov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T17:09:50Z |
| format | Article |
| id | doaj.art-c4aff7506fa4424eb282a0358d4272fb |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-04-24T17:09:50Z |
| publishDate | 2024-03-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-c4aff7506fa4424eb282a0358d4272fb2024-03-28T15:02:46ZengThe Royal SocietyRoyal Society Open Science2054-57032024-03-0111310.1098/rsos.231953Contextual measurement model and quantum theoryAndrei Khrennikov0International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University , 35195 Växjö, SwedenWe 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.https://royalsocietypublishing.org/doi/10.1098/rsos.231953contextual measurement modelquantum foundationscontextual probabilitygeneralized probabilityquantum instrumentsquantum-like modelling |
| spellingShingle | Andrei Khrennikov Contextual measurement model and quantum theory Royal Society Open Science contextual measurement model quantum foundations contextual probability generalized probability quantum instruments quantum-like modelling |
| title | Contextual measurement model and quantum theory |
| title_full | Contextual measurement model and quantum theory |
| title_fullStr | Contextual measurement model and quantum theory |
| title_full_unstemmed | Contextual measurement model and quantum theory |
| title_short | Contextual measurement model and quantum theory |
| title_sort | contextual measurement model and quantum theory |
| topic | contextual measurement model quantum foundations contextual probability generalized probability quantum instruments quantum-like modelling |
| url | https://royalsocietypublishing.org/doi/10.1098/rsos.231953 |
| work_keys_str_mv | AT andreikhrennikov contextualmeasurementmodelandquantumtheory |