TITLE:
Can Information Theory Help to Formulate an Optimal Model of a Physical Phenomenon?
AUTHORS:
Boris Menin
KEYWORDS:
Amount of Information, Measurement, Model’s Accuracy, Modelling, Physical Phenomenon, Uncertainty Analysis
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.10,
October
13,
2022
ABSTRACT: This article deals with the problem of calculating the comparative uncertainty of the main variable in the model of the studied physical phenomenon, which depends on a qualitative and quantitative set of variables. The choice of variables is determined by preliminary information available to the observer and dependent on his knowledge, experience and intuition. The finite value of the amount of information available to the researcher leads to the inevitable aberration of the observed object. This causes the existence of an unremovable and intractable processing by any statistical methods, a comparative (respectively, relative) uncertainty of the model. The goal is to present a theoretical justification for the existence of this uncertainty and proposes a procedure for its calculation. The practical application of the informational method for choosing the preferred model for the Einstein formula and for calculating the speed of sound is demonstrated.