3rd. First Aggressive Process (1950-2150), Great Depression (2150-2160), second Aggressive Process, Military Disaster, Conservation and Decadence (2160-2250).

One-fourth curve at an open date, is also possible: first process 1950-2000, invasion of the U.S.S.R., Conservation and Decadence 2000-2250. That is, the first aggressive process, the great depression and the military disaster, are done before the year 2000 and afterwards, the other phases are developed until the Empire ends and so the 4th mathematical-historical cycle of Continental China. It is obvious that border problems with the U.S.S.R. will continue to worsen and it is perfectly conceivable, due to the situation posed in this Chinese nucleus, that there could be an invasion of the U.S.S.R., occupying territories that are not Slavic, since these nations are about to end their historical cycle.

The U.S.S.R had its era of Great Unification, first federal phase nucleus, from the year 850 to 1050, the Unitary phase from1050 to 1250, Decadence between 1250-1350, following Disintegration from 1350-1450. Afterwards, the Relative Independence phase and then, the second nucleus and empire, with the City of Moscow, first aggressive process 1462-1580, the Great Depression 1580-1645, second period of Great Victories, Military Disaster and Conservation 1645-1904 and finally Disintegration, approximately 1904-2000. This last phase began in the Russian-Japanese War in the year 1904.

Returning to the matter of the Chinese invasion of Europe, the resistance nucleus in this cycle is the Federal Republic of Germany, nation whose process has been as follows:

The era of great demographic fractionation, first cycle 550 B.C. until 100 A.D., era of Unification from 100 until 1150. The second cycle, era of great fractionation 1150 until 1800, era of unification 1800-2850, in which it has developed its first nucleus up to the War of 1870, first period of great strategic victories and military disaster.

At the present time it is in the Conservation phase and its highest point will last approximately some 300 years. Compared and matched like two drops of water, Hitler played the role of Othon II in the first phase of the Teutonic Empire, the first mathematical-historical cycle of Europe. In this continent, the creative force then is in the Federal Republic of Germany. In Asia, in Continental China (the region between Huanho and Weiho) and also in Japan.

In the Americas, it started in the United States of America since 1783, date of the beginning of its first Period of Great Strategic Victories, and soon to go on to the next phase, the Great Depression, to continue with its second period of Great Victories and so forth, according to the Mathematical Law of History. Henceforth, the force will also go on to South America, which we have called the Great Colombia of the XXI Century, due to the historical precedent of Simón Bolívar, then to Brazil and to the Rio de la Plata area.

In reference to the next phase of the United States of America (Great Depression), other prospective concepts are exposed: Continental China will invade the Unites States of America in the mentioned phase (possible and probable hypothesis). The Mathematics of History shows that in depressive phases, the great nuclei invade each other when they are in these phases within the general processes that follow, as well as other nations that may have a historical relationship due to borders, nearby zones or other interests, with the great nucleus in a depression.

It is the dynamics of history, its development and process, the comings and goings of nations in their respective phases, is the oscillation of man, of cultures and civilizations, that reach their maximum and afterwards a minimum level.

E. The Battle of Tours in the year 732, Charles Martel against the Arabs, the latter commanded by the brave Abderraman. It was a warlike action of the second aggressive process of the French Empire against the Arabs. The French Empire developed its first aggressive process from the year 250 to 561 (a duration of 311 years), its great depression from 561 to 688 (a duration of 125 years), the second period of great strategic victories from 688 to 815 (a duration of 129 years) and disintegration from 815 to 879 (64 years), resulting in a total of 629 years. The Arabs, owners of Spain and after one century of victories, attack Gaul in the year 732. After the defeat of Tours, they retreat to Spain for eight centuries until they return to their continent due to Hispanic weapons.