Golden fraction in the theory of nucleation

Abstract

The problem of the universal form of the size spectrum is analyzed. The half-widths of two wings of spectrum is introduced and it is shown that their ratio is very close to the golden fraction. In appendix it is shown that behind the golden fraction of an image one can find the information basis, i.e. the proportion of the golden fraction corresponds to some method to find extremum. The method to find extrema associated with Fibonacci numbers also leads to proportions which can be seen in nature or can be introduced artificially. The information origin of proportions is proved theoretically and confirmed by examples in nature and human life.