**1. Introduction**

The goal of this paper is to present a new approach on the evaluation of the change process of models in science. The goal of the approach is to be able to increase the existing degree of predictability of the evolution of the models, as given by existing methods [1-6].

It was found out in some examples of its application [7] that the proposed approach indicates better the direction in which the models will change and if this change process has a certain rhythmicity and follows some patterns, or it is a totally chaotic one.

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The authors started from the paradigmatic approach of Kuhn on changes in science [1], the use of topological specs to describe models in physics [5,6], and previous similar developments [7,10,12-15].

In this paper the principles of the approach and some results are presented. The novelty of the applied principles is that they are based on a generic description of the science phases (as detailed in previous papers [8,9]) and on the use of the notions of categories and syzygies, as defined in mathematics. The example illustrated in the paper is from the nuclear physics and technology.

As it was shown before in some sample cases (Aristotelian, Newtonian, quantum physics, and relativity theory) [8,9], the change of syzygies is performed by switching from one approach/ science to another by the time the paradox solving process leads to minimum set of syzygies for the given approach. It is also shown on a case considering various energy sources that the syzygy approach in a context of topological description is applicable equally to the object to be studied and its model, which are considered to be in an isomorphism [7].
