TITLE:
The Boltzmann Constant: Evaluation of Measurement Relative Uncertainty Using the Information Approach
AUTHORS:
Boris Menin
KEYWORDS:
Boltzmann Constant, Comparative Uncertainty, Information-Based Approach, Relative Uncertainty
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.3,
March
12,
2019
ABSTRACT: 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.