High Accuracy When Measuring Physical Constants: From the Perspective of the Information-Theoretic Approach
High Accuracy When Measuring Physical Constants: From the Perspective of the Information-Theoretic Approach作者机构：Refrigeration Consultancy Ltd. Beersheba Israel
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2020年第8卷第5期
页 面：861-887页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Amount of Information CODATA Boltzmann Constant Gravitational Constant Hubble Constant Planck Constant International System of Units Mathematical Modeling Measurement Relative Uncertainty
摘 要：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.
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