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.