Deriving the Born Rule from a model of the quantum measurement process
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911326857592832 |
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| author | Schaum, Alan |
| author_facet | Schaum, Alan |
| contents | The quantum mechanics postulate called the Born Rule attributes a probabilistic meaning to a wave function. This paper derives the Born Rule from other quantum principles along with a model of the measurement process.
The nondeterministic nature of quantum measurements is hypothesized to arise from an ignorance of the quantum states of a measuring device's microscopic components. Their interactions with a system to be measured are modeled heuristically with any member of a particular class of stochastic processes, each of which generate the Born Rule. One member of the class appears particularly compatible with properties expected of quantum interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06375 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deriving the Born Rule from a model of the quantum measurement process Schaum, Alan Quantum Physics History and Philosophy of Physics The quantum mechanics postulate called the Born Rule attributes a probabilistic meaning to a wave function. This paper derives the Born Rule from other quantum principles along with a model of the measurement process. The nondeterministic nature of quantum measurements is hypothesized to arise from an ignorance of the quantum states of a measuring device's microscopic components. Their interactions with a system to be measured are modeled heuristically with any member of a particular class of stochastic processes, each of which generate the Born Rule. One member of the class appears particularly compatible with properties expected of quantum interactions. |
| title | Deriving the Born Rule from a model of the quantum measurement process |
| topic | Quantum Physics History and Philosophy of Physics |
| url | https://arxiv.org/abs/2408.06375 |