If we were to study cellular reproduction, we would always see how, starting from the fertilization of the egg up to the division of the fertilized cell, it goes through precise phases, perfectly defined, using for each one of them the same space of time. If from the fertilization of the egg we follow the process of multicellular beings until a new being appears, we observe how each animal specie always repeats the same phases and for this it uses the same space in time. It is well known that in the human being, the gestation period lasts exactly nine months and that for each specie there is an equally fixed and determined period. This gestation process of living beings is then, mathematical.
If we go on from gestation to the evolution of living beings, from their birth to their death we see has all go through the same phases of growth, completeness, decadence and death.
In man, for example, we know that children born today will continue a generation that will follow a process through precise stages of infancy, youth, completeness and death, that permits us to predict that in 20 years they will be youths like today’s 20-year-old individuals, that when they reach between 40 and 50 years old they will have reached completeness and that in a quite fixed age, determined by the arithmetic medium of the life of today’s man on the earth, his death will take place. With this, it is evidenced that human generations also obey a mathematical process. We are going to study this process that is not isolated but global, through the centuries of history.
As in the physiological and functional aspect, all generations obey the indicated rhythm, if we study them in the order of their intellectual activities (artistic, philosophical and scientific), we will observe remarkable differences. We would see that in one same region of earth there have been generations where some have manifested great creative activity while others have remained inactive and impenetrable to all intellectual activity.
However, these differences are not arbitrary but obey a precise rhythm to an exact mathematics. In a society, in a given moment, an awakening is initiated, that awakening is transmitted to successive generations, a creative breath begins to manifest itself and the contributions accumulate themselves in forthcoming generations until a maximum creative power is accomplished that afterwards, begins a decrease of activity, diminishing the creative power and, after a very precise and determined decadence, as that in the individual being, there appears another society undergoing an ascending process that, through its generations, will repeat the same springtime growth, creative fullness and winter phases.
After the winter phase a new creative cycle begins that will follow the same stages as the prior one, using, therefor, the same space in time, made up of seven centuries.
This second cycle will give way to a new creative phase that is even more important than the first one. Once the second cycle ends, another one will begin, also creative and of a duration that is equal to the ones that came before, but with a marked decadent creative force. Once this third cycle ends, nations return to the state of primitive societies with the loss of not only the creative power, but absolutely forgetting the creative force of past generations. Within these 17 centuries, nations live a first era of Great Demographic Fractionation of six and one-half centuries and then, an era of Unification of ten and one-half centuries, for a total of the 17 centuries of a historical cycle.
In the era of great fractionation, the geographical area of the ethnic group has a material and intellectual progress that keeps accentuating with certain characteristics and laws that govern this era of the nations.
In the unification era, a city imposes itself over the other ones in the geographical area, forming the imperial power and the first unification nucleus of the era or first empire, in the true sense of the word. This first nucleus presents a first phase that is its first aggressive process, it then falls, this would be its phase of great depression, afterwards it rises again: second process. Now the military disaster follows so that the empire enters in its phase of conservation and afterwards in the phase of disintegration.
All the great Captains have appeared in the second aggressive process: Hannibal, Alexander, Julius Caesar and Napoleon.