Incompatible Mathematical Descriptions and Hidden Switching Errors in Quantum Thought Experiments

Abstract

Preprint of a conceptual paper on hidden switching errors in quantum thought experiments. The paper argues that many well-known paradoxes arise not from internal inconsistency of quantum theory itself, but from silent transitions between incompatible mathematical descriptions, such as wave and particle models or probabilistic and factual descriptions. A simple labeling method is proposed to mark different reasoning tasks and make such transitions visible. The method is applied to the Frauchiger–Renner argument and to EPR/Klyshko-type scenarios. Full text available in the attached PDF. This version adds full translations of the paper into Russian and Ukrainian, alongside the original English text. All three files contain the same argument, figures and references; the English PDF is unchanged from version 1.0.