dorsal/arxiv
View SchemaStructure of Probabilistic Information and Quantum Laws
| Authors | Johann Summhammer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102099 |
| URL | https://arxiv.org/abs/quant-ph/0102099 |
| DOI | 10.1142/9789812810809_0025 |
Abstract
In quantum experiments the acquisition and representation of basic experimental information is governed by the multinomial probability distribution. There exist unique random variables, whose standard deviation becomes asymptotically invariant of physical conditions. Representing all information by means of such random variables gives the quantum mechanical probability amplitude and a real alternative. For predictions, the linear evolution law (Schrodinger or Dirac equation) turns out to be the only way to extend the invariance property of the standard deviation to the predicted quantities. This indicates that quantum theory originates in the structure of gaining pure, probabilistic information, without any mechanical underpinning.
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"abstract": "In quantum experiments the acquisition and representation of basic\nexperimental information is governed by the multinomial probability\ndistribution. There exist unique random variables, whose standard deviation\nbecomes asymptotically invariant of physical conditions. Representing all\ninformation by means of such random variables gives the quantum mechanical\nprobability amplitude and a real alternative. For predictions, the linear\nevolution law (Schrodinger or Dirac equation) turns out to be the only way to\nextend the invariance property of the standard deviation to the predicted\nquantities. This indicates that quantum theory originates in the structure of\ngaining pure, probabilistic information, without any mechanical underpinning.",
"arxiv_id": "quant-ph/0102099",
"authors": [
"Johann Summhammer"
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"doi": "10.1142/9789812810809_0025",
"title": "Structure of Probabilistic Information and Quantum Laws",
"url": "https://arxiv.org/abs/quant-ph/0102099"
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