A conjecture concerning determinism, reduction, and measurement in quantum mechanics

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• 作者：Arthur Jabs
• 关键词：Determinism ; Overall phases ; Hidden variables ; Reduction ; Collapse ; Localization ; Quantum measurement ; Born rule
• 刊名：Quantum Studies: Mathematics and Foundations
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：3
• 期：4
• 页码：279-292
• 全文大小：484 KB
• 刊物类别：Mathematical Physics; Theoretical, Mathematical and Computational Physics; Quantum Physics; History
• 刊物主题：Mathematical Physics; Theoretical, Mathematical and Computational Physics; Quantum Physics; History and Philosophical Foundations of Physics;
• 出版者：Springer International Publishing
• ISSN：2196-5617
• 卷排序：3

文摘

It is shown that it is possible to introduce determinism into quantum mechanics by tracing the probabilities in the Born rules back to pseudorandomness in the absolute phase constants of the wave functions. Each wave function is conceived to contain an individual phase factor \(\exp (\mathrm {i}\alpha )\). In an ensemble of systems, the phase constants \(\alpha \) are taken to be pseudorandom numbers. A reduction process (collapse), independent of any measurement, is conceived to be a spatial contraction of two wavepackets when they meet and satisfy a certain criterion. The criterion depends on the phase constants of both wavepackets. The measurement apparatus fans out the incoming wavepacket into spatially separated eigenpackets of the observable and a reduction associates the point of contraction with an eigenvalue of the observable. The theory is nonlocal and contextual.