dorsal/arxiv
View SchemaQuantum-like Probabilistic Models outside Physics
| Authors | Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | physics/0702250 |
| URL | https://arxiv.org/abs/physics/0702250 |
| DOI | 10.1142/9789812779953_0006 |
Abstract
We present a quantum-like (QL) model in that contexts (complexes of e.g. mental, social, biological, economic or even political conditions) are represented by complex probability amplitudes. This approach gives the possibility to apply the mathematical quantum formalism to probabilities induced in any domain of science. In our model quantum randomness appears not as irreducible randomness (as it is commonly accepted in conventional quantum mechanics, e.g., by von Neumann and Dirac), but as a consequence of obtaining incomplete information about a system. We pay main attention to the QL description of processing of incomplete information. Our QL model can be useful in cognitive, social and political sciences as well as economics and artificial intelligence. In this paper we consider in a more detail one special application -- QL modeling of brain's functioning. The brain is modeled as a QL-computer.
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"abstract": "We present a quantum-like (QL) model in that contexts (complexes of e.g.\nmental, social, biological, economic or even political conditions) are\nrepresented by complex probability amplitudes. This approach gives the\npossibility to apply the mathematical quantum formalism to probabilities\ninduced in any domain of science. In our model quantum randomness appears not\nas irreducible randomness (as it is commonly accepted in conventional quantum\nmechanics, e.g., by von Neumann and Dirac), but as a consequence of obtaining\nincomplete information about a system. We pay main attention to the QL\ndescription of processing of incomplete information. Our QL model can be useful\nin cognitive, social and political sciences as well as economics and artificial\nintelligence. In this paper we consider in a more detail one special\napplication -- QL modeling of brain\u0027s functioning. The brain is modeled as a\nQL-computer.",
"arxiv_id": "physics/0702250",
"authors": [
"Andrei Khrennikov"
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"physics.gen-ph",
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"doi": "10.1142/9789812779953_0006",
"title": "Quantum-like Probabilistic Models outside Physics",
"url": "https://arxiv.org/abs/physics/0702250"
},
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