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arXiv 2510.02412quant-phphysics.hist-ph
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评Marek Czachor题为《论由算术与概率的相对性所蕴含的量子性的相对性》的文章

Comment on Marek Czachor article entitled "On Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability"

Krzysztof Sienicki, Mikołaj Sienicki

AI总结:

本文评论Czachor的分层算术模型,指出其关键概率映射g取自标准量子力学的玻恩定则与Fubini-Study度规,与量子关联的一致性为设计植入而非新物理推导,不构成Bell定理的真正反例。

摘要:

Czachor的分层算术模型以合理的形式化前提为起点,但通过引入标准量子力学中的玻恩(Born)定则和富比尼-施图迪(Fubini-Study)度规来确定关键的概率映射g——在标准量子力学中,玻恩概率在固定测量语境下属于柯尔莫哥洛夫(Kolmogorov)概率。随后该g被应用于非牛顿隐变量场景,由此产生的混合框架与量子关联的一致性是人为设计植入的,而非源自新物理,因此并不构成对贝尔(Bell)定理的真正反例。

英文摘要:

Czachor's model of hierarchical arithmetics begins with a valid formal premise but fixes the key probability mapping g by importing the Born rule and Fubini-Study metric from standard quantum mechanics, where Born probabilities are Kolmogorov within a fixed measurement context. This g is then applied in a non-Newtonian hidden-variable setting, producing a hybrid framework whose agreement with quantum correlations is built in by design, not derived from new physics, and thus does not constitute a genuine counterexample to Bell's theorem

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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