Should we look for Fibonacci's «golden ratio» in the processes of waste formation

Abstract

We are making an attempt to introduce the regularity of the appearance of waste in technological processes with the regularities of the well-known «golden ratio» of Leonardo Fibonacci. In this case, they are represented by a system of optimal energy distribution between the material components of the production system. The relationship between equal terms in the basic Formula of Fibonacci and components with optimal comparison of energy, as the basis for applying the number F = 1,618 or related to it in semantic expansion. Other variants of analog Fibonacci series are ordered in order to compare them with the proportions of the main material flows in a typical technological process. Various correlations between the numerical values of the main material and other components: raw materials, energy, information, products and waste, depending on their attitude to the change in their mutual entropy in a variety of technological processes, are shown. We have shown that the absence of such proportions, including indicators of minimal waste generation, has its roots in the principle of thermodynamic duality between the components of raw materials and the energy that is used in the system. We have shown that the basis for the appearance in the material flows of the technological process of relations close to the number of Fibonacci or its analogues can only be the overcoming of the existence of the principle of thermodynamic duality