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Alan Schaum

Publications and source records attributed to Alan Schaum.

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Experimental tests of a model of the quantum measurement process

We suggest and describe how to analyze new types of experiments that would test a proposed model of the quantum measurement process. That model produces the Born Rule as a corollary, and so agrees with conventional quantum predictions. The proposed experiments include a new type of "interrupted measurement," which would allow falsification or confirmation of the model. In order to compare it with standard quantum mechanics predictions, we also develop a new testable extrapolation of the Born Rule into the extended experimental regime.

quant-ph

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

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.

quant-ph