Construction of a model as an information channel between the physical phenomenon and observer

Abstract

This study proposes a method to assess the accuracy limit of the measurements of physical variables to formulate a model, from the perspective of storing, transmitting, processing, and using of information by an observer. The results show the existence of a problem that advanced statistical methods are provably incapable of solving due to the presence of initial and inevitable model uncertainties arising from a qualitative set of base quantities and the number of variables which are considered, even before verifying the different sources of the uncertainties and executing any experimental measurements or computer calculations. The information contained in the model can be used theoretically and practically to test the solutions to a wide range of problems. Revealing the measurement accuracy limit (in addition to the Heisenberg inequality) with the help of the information transmitted from the studied phenomenon to the observer, which is then stored in the model, helps to perform two additional tasks: choosing the preferred method for measuring a particular physical constant, in physics; and calculating the exact value of the threshold discrepancy between the model and the measured object, in measurement theory. Further research indicates the possibility of allying these methods in biological and medical sciences.

A new look at the process of modelling physical phenomena: Informational approach

“…Below, we consider the physical perspective of the modelling process. For the purposes of this article, a model is a communication channel between the object under study and the researcher using a system of units to select variables [2]. Here it is appropriate to make one important remark.…”

“…This channel has some properties that depend on the thinker's will. The axiomatic structure of the communication channel when modelling a physical object includes the following statements [2]: Age 1. The variables in the model are selected by the thinker from a system of units, such as Anglo-American units, Planck units, or centimetre-gram-second (CGS).…”

“…ε is one of the most important concepts of information theory [11] and can be considered as a universal limit of FIQ measurement accuracy. ε has a strictly defined value εopt for each GoP [2]:…”

Can Information Theory Help to Formulate an Optimal Model of a Physical Phenomenon?

“…[4] [5] [6], some researchers recognize that it is possible to consider the model as an information channel between the observed object and the researcher ref. [7].…”

“…Given that μ SI is a constant, each FIQ has a limited amount of information ref. [7] and the number of FIQs in the model is always limited; it can be concluded that the number the information contained in the SI and in the model is limited.…”