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

• URL: http://arxiv.org/abs/2510.02412v2
• Date: Wed, 29 Oct 2025 14:15:03 GMT
• Title: Comment on Marek Czachor article entitled "On Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability"
• Abstract summary: Czachor's model of hierarchical arithmetics begins with a valid formal premise.<n>It fixes the key probability mapping g by importing the Born rule and Fubini-Study metric from standard quantum mechanics.<n>This g is then applied in a non-Newtonian hidden-variable setting, producing a hybrid framework.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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