TITLE:
High Accuracy When Measuring Physical Constants: From the Perspective of the Information-Theoretic Approach
AUTHORS:
Boris Menin
KEYWORDS:
Amount of Information, CODATA, Boltzmann Constant, Gravitational Constant, Hubble Constant, Planck Constant, International System of Units, Mathematical Modeling, Measurement, Relative Uncertainty
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.5,
May
20,
2020
ABSTRACT: The practical value of high-precision models of the studied physical phenomena and technological processes is a decisive factor in science and technology. Currently, numerous methods and criteria for optimizing models have been proposed. However, the classification of measurement uncertainties due to the number of variables taken into account and their qualitative choice is still not given sufficient attention. The goal is to develop a new criterion suitable for any groups of experimental data obtained as a result of applying various measurement methods. Using the “information-theoretic method”, we propose two procedures for analyzing experimental results using a quantitative indicator to calculate the relative uncertainty of the measurement model, which, in turn, determines the legitimacy of the declared value of a physical constant. The presented procedure is used to analyze the results of measurements of the Boltzmann constant, Planck constant, Hubble constant and gravitational constant.