Deriving the Born Rule from a model of the quantum measurement process

• URL: http://arxiv.org/abs/2408.06375v3
• Date: Thu, 30 Jan 2025 11:57:15 GMT
• Title: Deriving the Born Rule from a model of the quantum measurement process
• Authors: Alan Schaum,
• Abstract summary: The quantum mechanics postulate called the Born Rule attributes a probabilistic meaning to a wave function. This paper derives the Born from other quantum principles along with a model of the measurement process.
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• Abstract: 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.

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