从量子测量过程模型推导Born规则
量子物理
2025-12-22 v4 物理学史与哲学
摘要
量子力学公设——Born规则——为波函数赋予了概率意义。本文从其他量子原理以及测量过程模型出发推导了Born规则。量子测量的非确定性本质被假设为源于对测量装置微观组分量子态的无知。它们与待测量系统的相互作用通过某一类随机过程的任意成员进行启发式建模，这些随机过程的每一个都能生成Born规则。该类中的一个成员似乎特别符合量子相互作用所预期的性质。
引用
@article{arxiv.2408.06375,
title = {Deriving the Born Rule from a model of the quantum measurement process},
author = {Alan Schaum},
journal= {arXiv preprint arXiv:2408.06375},
year = {2025}
}
备注
The previous version of the paper portrayed its failure to identify a specific quantum mechanism with any of the stochastic models as a deficiency of the approach. The revision realizes that this is instead a positive feature, in that the models' lack of specificity to any particular physical measurement mechanism is a property shared with the Born Rule itself. Second revision had typo page 1