The Mathematics of History shows that liberty evolves. In an analysis, ever since 5100 years B.C., the beginning of the so called historical era, Dr. Deulofeu, in the cycle of 1700 years and, concretely in the phase of Great Demographic Fractionation, observes that liberty, in that geohistorical framework, ascends, and thus it is seen in the attached culture model graph.
In the following phase of Great Unification that completes the cycle of 1700 years, liberty declines up to a point, and ascends once again. This curve in its totality approximates or is almost the same to a sinusoid (the graph of the function of the sine function in trigonometry).
These changes are due to the geographic-historical factor of independent cities, states or provinces up to the formation of the nation (era of great unification), because the national authority of the corresponding capital exercises its domination throughout the country.
In the area of the town, city or province, state or nation, the direct election of the executive and legislative authorities gives liberty and progress a remarkable evolution to the rights of man. Dr. Deulofeu calls this tendency Oscillating Law (two steps forward and one backwards) and clearly indicates that this is due to the modifications of the laws in effect, and in cases originated by force, it is a passing situation due to the lack of culture and education.
Regarding culture and education Dr. Deulofeu says: “If we join Ionia, Greece and the Magna Graecia or Meridional Italy by a straight line, we find a length that is sensibly equal to the line that, starting from the mouth o the Ebro river (Spain), reaches the mouth of the Rhine river (France, Belgium and Holland), that is, that the creative zones of the cycles are sensibly equal in extension”.
We are at the projection of the so called Western Culture, whose mother continent is Europe. He continues to say: “History is developed by the historical phases of each nation, its progress, its stability, difficulties and high points, it is not due to men in a particular or providential manner. Its historical process and socioeconomic development expresses the historical phase of the nation. Political wars have not been won or lost due to an individual person but rather are consequence of the historical phase that the country develops”.
In the Americas, the Columbian period, and up to the present time, the Unification phase is not produced after the era of Great Fractionation within the evolution of a culture, nor an empire that substitutes another one that is disintegrated within one of the cycles, but it is an empire that is formed with elements coming from other empires, in a full expansive or decadent phase, over a country in the state of primary life. Dr. Deulofeu says: “.... the constitution of a nucleus of unification in these conditions stands back from those that, up to the present time, I have been able to precisely state, that is, those already included within the cultures that unfailingly and with an impressive precision obey the mathematical-historical process. In any case, from the study of the territories that today make up the different nations of the American Continent, from the moment that the Conquistadors arrived and up to the present time, it can be deduced that the constitution of these nuclei over countries in a state of primary life, is the same followed by nuclei within a culture when it reaches the end of its era of Great Demographic Fractionation. Thus, in fact, with the conquistadors the colonizers arrive and they begin to take hold of the country, taking the lands that are pleasing to them and cultivating them. At the beginning these families are totally independent, having no laws except for those they impose on themselves.
The aspect is then the patriarchal regime, with the father as the absolute head of the family. As families increase, territories are occupied, and an organization is soon imposed, regulations between families and the fatherland. In the centers where merchants and businessmen meet population nuclei begin to constitute themselves and cities begin to be formed; each time a more precise organization is imposed, and governors and some states will follow.
Finally an assembly constituted by representatives of each one of the states is established. It is exactly the same evolution that we have seen in all known civilizations starting from the feudal phase, serfs and slaves also existing also in them”.
In addition to the historical cycle, there are artistic, philosophical, social phases, etc. “Man is basically what education makes of him”, said the great philosophers.