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

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Document pages: 19 pages

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

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