The Boltzmann Constant: Evaluation of Measurement Relative Uncertainty Using the Information Approach

• 作者: Boris Menin
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: BOLTZMANN CONSTANT COMPARATIVE UNCERTAINTY Information-Based APPROACH RELATIVE UNCERTAINTY
• 年，卷（期）: 2019,（3）
• 页码范围: 486-504
• 页数: 19页
• 分类号: O1

摘要

The purpose of this work is to prove that only by applying a theoretically sound information approach to developing a model for measuring the Boltzmann constant, one can justify and calculate the value of the required relative uncertainty. A dimensionless parameter (comparative uncertainty) was proposed as a universal metric for comparing experimental measurements of Boltzmann constant and simulated data. Examples are given of applying the proposed original method for calculating the relative uncertainty in measuring the Boltzmann constant using an acoustic gas thermometer, dielectric constant gas thermometer, Johnson noise thermometer, Doppler broadening thermometer. The proposed approach is theoretically justified and devoid of the shortcomings inherent in the CODATA concept: a statistically significant trend, a cumulative value of consensus or a statistical control. We tried to show how a mathematical-expert formalism can be replaced by a simple, theoretically grounded postulate on the use of information theory in measurements.