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

Krzysztof Sienicki; Mikołaj Sienicki

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arXiv · 2510.02412

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

Krzysztof Sienicki·Mikołaj Sienicki

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Abstract

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

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Krzysztof Sienicki, Mikołaj Sienicki. 2025-10-02. Comment on Marek Czachor article entitled "On Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability". https://arxiv.org/abs/2510.02412

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