Mathematical Models for Thought Diffusion and Spiritual Transmutation

$cT_e = 1 = \beta$. From here we have the first and simplest mathematical model for the evolution of thought diffusion given by the following differential equations[50]: $$\frac{dS}{dt} = -\beta SI; \quad (19)$$ $$\frac{dI}{dt} = \beta SI - \gamma I; \quad (20)$$ $$\frac{dR}{dt} = \gamma I. \quad (21)$$ From these premises, the most relevant parameter in the evolution of thought current diffusion is determined by the dimensionless coefficient $$R_0 = \frac{\beta N}{\gamma} - 1; \quad (22)$$ called the basic reproduction number. If ecological conditions are such that $R_0 > 1$, then the thought diffuses according to an evolution that typically mirrors that in Fig. 27. Clearly this constitutes a simplified model of evolution commonly called SIR which must be integrated, depending on the contingent case under examination, by the speed of diffusion of a thought current compared to the velocity of death and birth of new susceptible subjects, by the time necessary for adherence to the thought current as in the SEIR model, by the percentage of antagonistic currents, as in the SEIZR model[58], or by the action of deformations of the original thought that render people refractory to a certain thought current, even without having directly come into contact with such individuals. Such models are easily obtainable from a mathematical point of view and widely studied even in other fields of dynamic evolution[50]. When the diffusion of a thought reaches maturity, then the action potential of such thought must manifest. Exposure to such thought is maximum and a large part of the population polarizes into people who accept and advocate such idea and people who oppose it. Thus a bifurcation occurs in the population. The thought manifests its potential by operating changes on society, on individuals or on the environment consistent with the nature of the impulse that generated it. Finally, when ecological conditions, due to the increase of refractory subjects or due to impossibility of transmission, are such that $R_0 < 1$, the thought cannot spread and after a while its action in the world restricts more and more and, if there are no longer conditions for transmission, the thought is exhausted and dies. Thus great religions, great philosophical and thought currents have died out. Even if a determined thought dies, this does not mean that the initial charge or impulse that gave it life is exhausted. The same impulse can take different forms and inspire new people who will translate such thought according to their mentality. A spiritual impulse uses men in a form of symbiosis, feeds them, ignites and inspires them, transforms into an evolutionary principle so that they affirm it on Earth and allow it to act on it by transforming it. **Individualization and Spiritual Transmutation** When we analyzed the various typologies of mutation, we indicated one under the name of transmutation. Unlike the preceding forms of mutation, transmutation regards the change or mutation that occurs in the single element of a system in organic evolution, which is born in one way and at a certain point of its evolutionary cycle radically changes its natural characteristics. Normally, evolution is considered a slow and progressive change of the organism in which the single elements that compose it do not mutate during their own life, but give origin to new elements with different characteristics from their own, which will then be subjected to the selection process. Generation after generation, slow natural evolution thus unfolds. In the case of a transmutation phenomenon, instead, the mutation no longer occurs through a generational passage, but within the element itself during its life. In the case of Humanity as a whole, considered as a single organism in evolution, we can speak of a hereditary transmission and of an evolution in which mutations occur in generational passages. In the case of individual evolution, however, the most important mutation by far is that which occurs during the single life, that is, transmutation. Being the consciousness of man, and not his physical body, the evolving substance of interest in this context, we thus speak of spiritual transmutation. As in all evolutions, also in the evolution of Man we have an end or purpose of evolution, a model to reach, like an evolutionary principle which, in this case, being the change principally through transmutation, we would call a transmutational principle. We do not want here, in this context, to delve too much into this study, but we want to propose an important passage of spiritual transmutation, which will serve us to understand some phenomena in subsequent chapters and which is the formation and development