Maximum Entropy Principle as Postulate of Quantum Mechanics
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913235498696704 |
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| author | Tkachenko, Alexei V. |
| author_facet | Tkachenko, Alexei V. |
| contents | Even a century after the formulation of Quantum Mechanics (QM), the wave function collapse (WFC) remains a contentious aspect of the theory. Environment-induced decoherence has offered a partial resolution by illustrating how unitary evolution in an open quantum system can lead to effective WFC within its components. However, this approach by itself does not lead to a fully self-consistent reformulation of QM. We introduce a modified set of QM postulates, which exclude both WFC and Born's probability rule. They are replaced with the Maximum Entropy Principle, a weaker postulate that specifies conditional probabilities for mutually compatible observations. Within this formulation, both WFC and Born's rule become emerging properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04893 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Maximum Entropy Principle as Postulate of Quantum Mechanics Tkachenko, Alexei V. Quantum Physics History and Philosophy of Physics Even a century after the formulation of Quantum Mechanics (QM), the wave function collapse (WFC) remains a contentious aspect of the theory. Environment-induced decoherence has offered a partial resolution by illustrating how unitary evolution in an open quantum system can lead to effective WFC within its components. However, this approach by itself does not lead to a fully self-consistent reformulation of QM. We introduce a modified set of QM postulates, which exclude both WFC and Born's probability rule. They are replaced with the Maximum Entropy Principle, a weaker postulate that specifies conditional probabilities for mutually compatible observations. Within this formulation, both WFC and Born's rule become emerging properties. |
| title | Maximum Entropy Principle as Postulate of Quantum Mechanics |
| topic | Quantum Physics History and Philosophy of Physics |
| url | https://arxiv.org/abs/2311.04893 |