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February 5, 20260 citationsOpen Access

The Impossibility of Objective Measurement in Finite Systems Without an Observer-Relative Closure Operator

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VKVladimir Khomyakov

Key Points

  • The central aim is to explore why objective measurement in finite systems requires an observer-relative operator.
  • Theoretical analysis of finite systems
  • Derivation of the observer-relative operator
  • Examination of thermodynamic constraints
  • Discussion of reproducibility principles
  • Objective measurement is deemed impossible without an observer-relative operator
  • Findings are independent of specific frameworks or applications
  • Thermodynamic constraints necessitate the observer-relative operator

Abstract

This paper demonstrates that objective measurement in finite systems is impossible without an explicit observer-relative operator. The observer operator is derived as a structural necessity from finiteness, thermodynamic constraints, and reproducibility principles. The result is independent of interpretational frameworks, numerical simulations, or specific applications.

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Cite This Study

Vladimir Khomyakov (2026) studied this question.

synapsesocial.com/papers/698434dff1d9ada3c1fb384dhttps://doi.org/10.5281/zenodo.18462292
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