Information Content of the Model for Calculating the Finite Precision of Measurements
Boris Menin *
Mechanical and Refrigeration Consultation Expert, 9 Yakov Efrat St., Beer-Sheba 8464209, Israel.
*Author to whom correspondence should be addressed.
Abstract
Aims: We argue that the choice of a specific qualitative–quantitative set of variables in a model by a conscious observer fundamentally limits the achievable accuracy of the measurement process.
Place and Duration of Study: Mechanical & Refrigeration Consultation Expert, between January 2020 and July 2020.
Methodology: Using the concept of “finite information quantities” introduced by Gisin, we try to present it as a practical tool in science and engineering in calculating the proximity indicator of a model to the phenomenon being studied.
Results: The formulated metric (comparative uncertainty) allows us to set the optimal achievable uncertainty of the model and to confirm the impossibility of implementing the principle of infinite precision.
Conclusion: Any attempt to search for a universal physical theory must consider the uncertainty caused by the observer’s vision and the working of the human brain.
Keywords: Information entropy, measurement uncertainty, measurement units, mathematical model, observability, precision engineering, modeling, random variables