English

Comment on "Unifying Aspects of Generalized Calculus"

Quantum Physics 2025-08-12 v1 History and Philosophy of Physics

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.

Keywords

Cite

@article{arxiv.2508.06596,
  title  = {Comment on "Unifying Aspects of Generalized Calculus"},
  author = {Mikołaj Sienicki and Krzysztof Sienicki},
  journal= {arXiv preprint arXiv:2508.06596},
  year   = {2025}
}

Comments

Comment on arXiv:2010.03366, 8 pages, 10 references and 1 figure

R2 v1 2026-07-01T04:41:46.945Z