Uncertainty Estimation of Refrigeration Equipment Using the Information Approach

Aims: The purpose of this work is to present the information approach as the only effective tool that allows us to calculate the uncertainty of any result of the study on the use of refrigeration equipment. Methodology: Using the definitions and formulas of information theory and similarity theory, the amount of information contained in a model of refrigeration equipment or process is calculated. This allows us to present formulas for calculating the relative and comparative uncertainties of the model without additional assumptions. Based on these formulas, the value of the inevitable threshold of the accuracy of the representation of the studied construction or process is determined. Results: Theoretically substantiated recommendations are formulated for choosing the most effective methods for analyzing refrigeration equipment are formulated. Conclusion: Having calculated the amount of information contained in the model, we presented practical methods for analyzing data on refrigeration equipment.

The Problem of Identifying Possible Signals of Extra-Terrestrial Civilizations in the Framework of the Information-Based Method

Aims: The purpose of this work is to formulate the requirements for future methods of searching for extra-terrestrial civilizations by use of the concepts of information theory and the theoretically grounded method. Methodology: To realize it, the number of dimensionless criteria contained in the International System of Units (SI) has been calculated. This value, without additional assumptions, allows us to present a formula for calculating the comparative uncertainty of the model of any physical phenomenon. Based on these formulas, the magnitude of the inevitable threshold of misunderstanding of two civilizations in the universe is determined. Results: New theoretical recommendations for choosing the most effective methods to search the techno signatures of extra-terrestrial civilizations are formulated. Conclusion: Using the calculated amount of information embedded in the model, we showed that the most promising methods for finding potential residents in the Universe should combine frequency radiation with thermal or electromagnetic quantities.

Precise Measurements of the Gravitational Constant: Revaluation by the Information Approach

The gravitational constant discovered by Newton is still measured with a relative uncertainty that is several orders of magnitude larger than the relative uncertainty of other fundamental constants. Numerous methods are used to measure it. This article discusses the information-oriented approach for analyzing the achievable relative measurement uncertainty, in which the magnitude of the gravitational constant can be considered as plausible. A comparison is made and the advantages and disadvantages of various methods are discussed in terms of the possibility of achieving higher accuracy using a new metric called comparative uncertainty, which was proposed by Brillouin.

High Accuracy When Measuring Physical Constants: From the Perspective of the Information-Theoretic Approach

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.

Universal Metric for Assessing the Magnitude of the Uncertainty in the Measurement of Fundamental Physical Constants

In this paper, we aim to verify the numerical magnitude of the relative uncertainty in the measurement of fundamental physical constants. For this purpose, we use a metric called comparative uncertainty with which an a priori mismatch between the selected model and the observed physical object is checked. The comparative uncertainty is caused by the finite number of dimensional variables of the applied model. We show a comparison of the achieved values of the relative and comparative uncertainties of the gravitational constant, Planck’s constant, Boltzmann’s constant, and fine structure constant, according to data published in the scientific literature over the last 7 - 15 years. The results generally agree well with CODATA recommendations. We show that the comparative uncertainty as a universal metric can be used for the identification of recommended target values of the relative uncertainty in the field experiments.

Simplest Method for Calculating the Lowest Achievable Uncertainty of Model at Measurements of Fundamental Physical Constants

The CODATA procedure for calculating the recommended relative uncertainty of the measured fundamental physical constants is complex and is based on the use of powerful computers and modern mathematical statistical methods. In addition, the expert’s opinion caused by accumulated knowledge, life experience and intuition of researchers is applied at each stage of the calculations. In this article, the author continues to advocate a theoretically grounded information method as the most effective tool for testing and achieving the minimum possible relative uncertainty for any measurements of experimental physics and engineering. The introduced fundamental limit characterizing discrepancy between a model and the observed object cannot be overcome by any improvement of instruments, methods of measurement and the model’s computerization. Examples are given.

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

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.

Bekenstein-Bound and Information-Based Approach

Scientists have already undertaken experimental attempts to find a grain of space. In this article, the Bekenstein formula and the information-oriented approach are combined for the first time to theoretically calculate the smallest achievable grain length, as well as the energy and quantity of information. This became possible due to the fact that the information approach is based on the calculation of the amount of information contained in the model of the physical phenomenon. The results show very good agreement between theory and experiment, at least with respect to the scale of the length and the minimum resolution of energy. This concept can be important for a reliable interpretation of the forthcoming cosmological and quantum dimensions.