The disintegration of this first empire is manifested, as we have said, by a weakening of the central power, by the lack of discipline in the army, by civil war and by anarchy. Nations that make up part of the empire wish to make themselves independent and recover their own personality. Finally, disintegration of the empire is produced but the country immediately falls under the dominion of the new imperial nucleus. This one will act from the beginning as a true tyrant, will take power as well as wealth into its own hands, and will reduce the former citizens of the empire into the condition servants and slaves.

The new imperial nucleus will fulfill its evolutionary process and will enter into a phase of disintegration and decomposition. The weakening of the central power will result in turning over power into the hands of governors and sub-governments of the regions and cities until reaching the complete disintegration of the empire and to a regime known as “Feudal or Over imposed Powers”. With this one, we enter in the new era of Great Demographic Fractionation. We then begin a new cycle.

In the fourth paragraph of the law, this political cycle that we have just presented, is completed in the social, artistic, philosophical and scientific aspect, that is, that parallel to the first, we should consider a social, artistic, philosophical and scientific cycle.

The last phase of the cycle, as we have just seen, is that of the imperial and feudal aristocracy, that is, that of governors and sub-governors who have declared themselves independent from the imperial nucleus. These personalities conserve a certain vassalage with respect to their immediate superior, and he, at the same time, considers himself the vassal of the one above him. Under this type of aristocracy, the nation is subject to a regime of servants or slaves, without any material or spiritual power.

From the cultural point of view, we find ourselves without any spiritual activity. On one hand, there is a corrupt and degenerate aristocracy, which doesn’t have any other worry or desire but to satisfy its appetite for material things. On the side of the subjected class we find ourselves with a nation that does not have any possibility of instruction and who lives under submission.

We are about to enter the fifth paragraph of the law. If its fulfillment were as simple as we exposed and there were no other complications, this law would have already been discovered many years ago. But the case is given that, although said law is fulfilled with all precision in all the nations of the Earth, cycles are not simultaneous for all of them, but are advanced or delayed in some with respect to the others.

This advance or delay is determined as a function of the geographical position. As a consequence, as long as there are nations that are in the fractionation era, others are in the imperial era, and while some are going through the phase of democracy, other live in the absolutist or priestly phase, or in the regime of servitude.

This mixture is what gives the sensation of chaos that history presents, a purely apparent chaos, since it is enough to know the law that governs the evolution of nations, so that chaos may be transformed into an order for which nations are developed obeying a perfect clock movement.

[BIOLOGICAL PROCESSES ARE MATHEMATICAL PROCESSES]

It is an undeniable fact that, up to now, little importance has been given to the precise regularity with which biological processes are unfolded and, on the other hand, it is an absolute evidence that said processes are true mathematical processes. Starting from cariokinesis up to the movement of great collectivities, mathematics govern the evolution of living beings.