Comment on "Unifying Aspects of Generalized Calculus"

• URL: http://arxiv.org/abs/2508.06596v1
• Date: Fri, 08 Aug 2025 15:23:21 GMT
• Title: Comment on "Unifying Aspects of Generalized Calculus"
• Authors: Mikołaj Sienicki, Krzysztof Sienicki,
• Abstract summary: Czachor's recent proposal introduces a form of non-Newtonian calculus.<n>It runs into serious conceptual trouble when examined from a physical standpoint.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Czachor's recent proposal introduces a form of non-Newtonian calculus built by pulling back arithmetic operations through arbitrary bijections between continua. Although the idea is mathematically inventive, it runs into serious conceptual trouble when examined from a physical standpoint. Claims of universal applicability quickly unravel under scrutiny -- especially when considering pathological bijections like the Cantor function, which break the framework's core assumptions. When applied to domains such as relativity, entropy, or cosmology, the results often collapse into tautological restatements lacking real predictive power. This commentary explores these issues in depth, highlighting where and why the formalism falls short of providing a physically coherent theory.

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