Comment on Marek Czachor article entitled "On Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability"
Quantum Physics
2025-10-30 v2 History and Philosophy of Physics
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
Keywords
Cite
@article{arxiv.2510.02412,
title = {Comment on Marek Czachor article entitled "On Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability"},
author = {Krzysztof Sienicki and Mikołaj Sienicki},
journal= {arXiv preprint arXiv:2510.02412},
year = {2025}
}
Comments
8 pages, 1 figure, 12 equations and 6 references. Comment on arXiv:2510.00637. v2 typos fixed