On the dynamics of shaping: the generalization of the morphogenesis

Abstract

The paper is aiming to extend the concept of morphogenesis, explaining how the process of morphogenesis^1,2,4 could be used for both, very large scale and very small scale phenomena. This generalization of the process of morphogenesis is going to be made by addressing both, certain very large on one hand and certain very small scale phenomena, on the other. Based on the dependences and relationships between features of the both types of phenomena, the paper will explain why the concept and principles of morphogenesis can be applied in its generalized forms. The generalization presented in the paper will also identify the main issues to be dealt with, when trying to apply the respective generalizations. The present paper is dealing, for the case of large scale phenomenas’ generalization, only with discrete cases of the morphogenesis, since they are more intuitive and more easily to be understood by the reader and, at the same time, they are more appropriate for the understanding the process of the generalizations presented in this paper. In addition to that, the discrete models for the morphogenesis are representing the basis for the approach of the continuous models, according to some later founding, the matter itself is also exhibiting discrete structure, deep down at its quantum level. By carefully looking to the facts in the quantum world and to the world around us, one can ask himself whether the presented generalization of the process of the morphogenesis and its laws could be applied always to both, the quantum world phenomena and the normal/ large scale phenomena too. This is because often times, is rather difficult to always find the most appropriate morphogens to be taken into consideration and also their respective interactions. One other possible issue occurs when the coordinates/ quantities determining the shape are independent or the conditions for morphogenesis are not fulfilled and in such case the process of morphogenesis cannot be longer valid or applied. Both situations will be considered and analyzed in the second paper of the author, presented in the conference [11].