dorsal/arxiv
View SchemaClassification of transformations of probabilities for preparation procedures: trigonometric and hyperbolic behaviours
| Authors | Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012141 |
| URL | https://arxiv.org/abs/quant-ph/0012141 |
Abstract
We provide frequency probabilistic analysis of perturbations of physical systems by preparation procedures. We obtained the classification of possible probabilistic transformations connecting input and output probabilities that can appear in physical experiments. We found that so called quantum probabilistic rule is just one of possible rules. Besides the well known trigonometric transformation (for example, for the polarization of light), there exist the hyperbolic transformation of probabilities. In fact, `hyperbolic polarization' have laready been observed in experiments with elementary particles. However, it was not interpreted in such a way. The situation is more complex with the hyperbolic interference of alternatives.
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"abstract": "We provide frequency probabilistic analysis of perturbations of physical\nsystems by preparation procedures. We obtained the classification of possible\nprobabilistic transformations connecting input and output probabilities that\ncan appear in physical experiments. We found that so called quantum\nprobabilistic rule is just one of possible rules. Besides the well known\ntrigonometric transformation (for example, for the polarization of light),\nthere exist the hyperbolic transformation of probabilities. In fact,\n`hyperbolic polarization\u0027 have laready been observed in experiments with\nelementary particles. However, it was not interpreted in such a way. The\nsituation is more complex with the hyperbolic interference of alternatives.",
"arxiv_id": "quant-ph/0012141",
"authors": [
"Andrei Khrennikov"
],
"categories": [
"quant-ph"
],
"title": "Classification of transformations of probabilities for preparation procedures: trigonometric and hyperbolic behaviours",
"url": "https://arxiv.org/abs/quant-ph/0012141"
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