dorsal/arxiv
View SchemaWhat is really "quantum" in quantum theory?
| Authors | Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301051 |
| URL | https://arxiv.org/abs/quant-ph/0301051 |
Abstract
By analysing probabilistic foundations of quantum theory we understood that the so called quantum calculus of probabilities (including Born's rule) is not the main distinguishing feature of "quantum". This calculus is just a special variant of a contextual probabilistic calculus. In particular, we analysed the EPR-Bohm-Bell approach by using contextual probabilistic models (e.g., the frequency von Mises model). It is demonstrated that the EPR-Bohm-Bell consideration are not so much about "quantum", but they are merely about contextual. Our conjecture is that the "fundamental quantum element" is the Schr\"odinger evolution describing the very special dependence of probabilities on contexts. The main quantum mystery is neither the probability calculus in a Hilbert space nor the nonncommutative (Heisenberg) representation of physical observables, but the Schr\"odinger evolution of contextual probabilities.
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"abstract": "By analysing probabilistic foundations of quantum theory we understood that\nthe so called quantum calculus of probabilities (including Born\u0027s rule) is not\nthe main distinguishing feature of \"quantum\". This calculus is just a special\nvariant of a contextual probabilistic calculus. In particular, we analysed the\nEPR-Bohm-Bell approach by using contextual probabilistic models (e.g., the\nfrequency von Mises model). It is demonstrated that the EPR-Bohm-Bell\nconsideration are not so much about \"quantum\", but they are merely about\ncontextual. Our conjecture is that the \"fundamental quantum element\" is the\nSchr\\\"odinger evolution describing the very special dependence of probabilities\non contexts. The main quantum mystery is neither the probability calculus in a\nHilbert space nor the nonncommutative (Heisenberg) representation of physical\nobservables, but the Schr\\\"odinger evolution of contextual probabilities.",
"arxiv_id": "quant-ph/0301051",
"authors": [
"Andrei Khrennikov"
],
"categories": [
"quant-ph"
],
"title": "What is really \"quantum\" in quantum theory?",
"url": "https://arxiv.org/abs/quant-ph/0301051"
},
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