dorsal/arxiv
View SchemaPrinciple of supplementarity: contextual probabilistic viewpoint to interference, complementarity and incompatibility
| Authors | Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408187 |
| URL | https://arxiv.org/abs/quant-ph/0408187 |
Abstract
There is presented a contextual statistical model of the probabilistic description of physical reality. Here contexts (complexes of physical conditions) are considered as basic elements of reality. There is discussed the relation with QM. We propose a realistic analogue of Bohr's principle of complementarity. In the opposite to the Bohr's principle, our principle has no direct relation with mutual exclusivity for observables. To distinguish our principle from the Bohr's principle and to give better characterization, we change the terminology and speak about supplementarity, instead of complementarity. Supplementarity is based on the interference of probabilities. It has quantitative expression trough a coefficient which can be easily calculated from experimental statistical data. We need not appeal to the Hilbert space formalism and noncommutativity of operators representing observables. Moreover, in our model there exists pairs of supplementary observables which can not be represented in the complex Hilbert space. There are discussed applications of the principle of supplementarity outside quantum physics.
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"abstract": "There is presented a contextual statistical model of the probabilistic\ndescription of physical reality. Here contexts (complexes of physical\nconditions) are considered as basic elements of reality. There is discussed the\nrelation with QM. We propose a realistic analogue of Bohr\u0027s principle of\ncomplementarity. In the opposite to the Bohr\u0027s principle, our principle has no\ndirect relation with mutual exclusivity for observables. To distinguish our\nprinciple from the Bohr\u0027s principle and to give better characterization, we\nchange the terminology and speak about supplementarity, instead of\ncomplementarity. Supplementarity is based on the interference of probabilities.\nIt has quantitative expression trough a coefficient which can be easily\ncalculated from experimental statistical data.\n We need not appeal to the Hilbert space formalism and noncommutativity of\noperators representing observables. Moreover, in our model there exists pairs\nof supplementary observables which can not be represented in the complex\nHilbert space. There are discussed applications of the principle of\nsupplementarity outside quantum physics.",
"arxiv_id": "quant-ph/0408187",
"authors": [
"Andrei Khrennikov"
],
"categories": [
"quant-ph"
],
"title": "Principle of supplementarity: contextual probabilistic viewpoint to interference, complementarity and incompatibility",
"url": "https://arxiv.org/abs/quant-ph/0408187"
},
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