CHAPTER SIX:
CYCLOLOGY – THE MATHEMATICS OF
HISTORY
[Note: This chapter, and all
others in this book, are excerpted from The End of Our Century by
Francois Masson, written in 1979-80. It was transcribed from French into English
by David Michael Steinberg in 1981 and a publisher was never found. It was
finally edited, updated and published on the Internet by David Wilcock in
2001.]
The knowledge of perfect numbers goes back to the mists of antiquity. It was used in Chaldea and very early Egypt. The definite writings on this subject date from Thales, who lived from 640 to 547 B.C. His pupil Pythagoras (580-500 B.C.), the author of famous theorems, traveled to Egypt where this education was completed by the priests of Ra at Heliopolis and Memphis. These heirs to the greatest sacred mysteries taught him the value of the Sirius cycle. According to this theory, not only celestial phenomena but all terrestrial events repeat themselves in the same order every 1461 years. But the man who made the theory famous and gave it all its value was Plato, for he set the true golden number at 25920 years; and this number, as we shall see, contains all the others. These 25920 years correspond to the complete precessional cycle which we discussed earlier.
[Note: As we have often stated in The Shift of the Ages and other writings, this precession is a slow wobble in the Earth’s orbit that also repeats itself in cycles on the Sun. We now have reason to believe that this movement is due to the structured energy harmonics that exist as we move through the galaxy, exhibiting discrete changes in human behavior and celestial bodies. (DW)]
So events do repeat cyclically, but it is never the repeating of the same events but more like an ascending spiral; the similar events manifest in an entirely new context, but their deep roots are identical.
In France, Michel Helmer was the first to reinstate and successfully apply this ancient theory, aided by his discovery of the number Phi, (which equals approximately 1.616,) whose use enables him to locate the peak times within each cycle.
[Note: As we have explained in The Shift of the Ages chapter 18, the work of Bradley Cowan has shown this effect in the financial markets. Based on the fact that three-dimensional geometric structures in time are at work, (as a consequence of the natural vibrational pattern of a fluidlike medium that constantly creates all of space and matter), we should expect that the other geometric ratios of square root of two, three and five would also indicate peak times in cycles as well. In this sense Cowan’s science is already more refined, though it only predicts market movement. However, Helmer’s method is far more specific, as we shall soon see. (DW)]
M.E. Bindel, math professor at the Waldorfschule in Stuttgart, published in 1958 his book, The Spiritual Elements of Numbers and he had no hesitation in writing:
Nowadays, we have nearly forgotten the questions about perfect numbers; they are not studied in schools nor in the scientific fields. At the most, the history of mathematics mentions them as a curiosity. One can judge from these facts the fate of these ideas and the role they have played in human thought from ancient times to the present.
Throughout antiquity, Numbers were considered as logical members of a Unity. There was a regular cult of Unity; One was considered the mother of all numbers and therefore superior to them. In fact, some went so far as to say that, being above all numbers, One was not a number. Our present way of thinking about numbers and the way we handle One would have seemed barbaric to the ancients. Their attitude gave them a great wisdom about numbers, which it would be hard to explain to us now. What has not been known all this time cannot be understood today.
It is hard for modern man to believe that numbers have a meaning much more important than he thinks, that they are not merely a means of counting and measuring sense objects but that they also express a spiritual essence which they create and control. The ancient Hebrews called this spiritual essence the ten holy “Sephirot.”
The author, in a monograph about the relation of perfect numbers to Astrology, wrote in 1969:
“In the Cahiers Astrologiques of 1960, M. Helmer presented his theory on the cyclic repetition of events, a cycle based mainly on using the Ideal pre-eminent Number 25920 and its factors. Applying his theory enabled him to make many exact predictions both economic and political.
“In his account, he gave a special place to the Ideal number, 25920 years. Here is an excerpt of his thesis: he begins by saying: Each of the three astrological phenomena that we know are signs in the sky of coordinates of three Space-Times:
a) The Earth's rotation on its axis equals the Space-Time of the houses (in worldly Astrology, themes of nations, regimes, political leaders), these themes being like the second hand of the cosmic clock.
b) The Earth's revolution around the Sun equals the Space-Time of the heavy planetary cycles. It is like the minute hand of the cosmic clock.
c) Finally, the Precession of the Equinoxes, which has 25920 as its symbolic number. The numerological rhythms of this number give us the hour hand of the cosmic clock.”
[Note: We now have reason to believe that the 12 signs of the zodiac, occurring over the course of one year, are due to Earth’s movement through a 12-fold spiraling energy wave in the Solar System similar to the much larger energy wave in the Galaxy that marks the precession. Both are natural consequences of the vibrating “aether” medium in free space. The following crop formation of Bringhurst 2000 seems to show this Solar System wave very clearly. (DW)]

There are many cycles which have been used by various civilizations: the Manvantara and the Yuga of the ancient Hindus, the cycle of Daniel, the polar or ternary cycle and the Biblical cycle of seven times 77 years. But every one of these is found in the perfect number, 25920 years, by simple division or multiplication.
Here are the various basic cycles obtained by this method:
25920 / 2 = 12960. 12960 x 5 = 64800 years, the Manvantara cycle.
25920 / 10 = 2592 years. The Daniel cycle.
25920 / 6 = 4320 years or Yuga cycle in the tradition of India.
25920 / 12 = 2160 years, cycle of a civilization or a religion and corresponding to the precessional passage from one constellation of the Zodiac to the next.
25920 / 12 = 2160 and 2160 / 2 = 1080 years, cycle of opposition to what was created at the start of the 2160-year cycle.
2160 / 3 = 720 years, so-called polar phase or ternary division pointed out by Rev. Father Poucel. The first phase of 720 years is the prophetic period of every religion. The second is the “clerical phase” and the third, that of the supremacy of the temporal power over the spiritual power. For example: from the Christ's teaching to the years 720-750 corresponds the mystical epoch of Christianity. From AD 720-750 to 1440-1470, the times changed and it was the epoch of the mastery of the ecclesiastical hierarchy over peoples and governments. 1440-1770, we’re getting into the time of great changes. 1440 is the start of the Renaissance, whose knowledge spread throughout Europe with the arrival of the Byzantine savants after the fall of Constantinople. This was also the time of John Hus in Bohemia, the first to protest and challenge the Church hierarchy, which treacherously put him to death. But the seed he planted bore fruit in Hussite revolts and the teaching of Martin Luther. From 1440-1470, we see then the supremacy of temporal powers over spiritual and over the churches, Protestant as well as Catholic, their gradual weakening with the birth of a new religion at the end of the 2160-year period and the cycle begins again at a new level of the helix.
2160 / 4 = 540 years: This cycle is surely the most important of those whose scope we can comprehend: it is the turning point of the basic cycles of a civilization. It corresponds to the Biblical cycle of 7 x 77 years = 539 years. The latter naturally is derived from the basic human cycle which is 11 years and 11 x 7 = 77 years. 77 years and 11 years are indeed the cycles of Man. This fundamental cycle of 539 or 540 years, that of the mass movements of peoples (see Fig. 1) enabled Michel Helmer to foresee in 1960 and to predict in 1964 the world events of 1968, especially those he expected to occur in France and which really did happen there.
Helmer chose as his starting point the year 1429, when the tide turned against the English in the Hundred Years' War; this affected the whole history of Europe. Indeed, after her reverses on the Continent, England turned to the sea, her real vocation. So that year 1429 witnessed the quasi-miraculous intervention of Joan of Arc, the 19-year-old girl to whom King Charles VII entrusted his army, which succeeded in beating the English Talbot and raising the siege of Orleans; this was from April 29 to May 8, 1429.
539 years later, practically to the day, the French youth, on another level of the spiral, brought about the shift and incredible destruction of a whole state of mind belonging to the past, the end of the University mandarins and the repeal of many taboos. Since that year 1968, which saw the same youth movement throughout the world, in France, Crechoslovakia, the USA, Mexico, Japan, West Germany, etc., no one can depend on his title to be obeyed, but must prove his abilities.
This basic change is still spreading, although in keeping with the 11-year cycle, it is now in its opposite phase; when the full 22-year cycle is over, toward the fateful years 1990-91 corresponding to the end of Marxism in Russia according to Nostradamus, the ideas of 1968 will win out and a new religion, more fraternal, more just, will be born there, based on the mystique of 1968.
[Note: What Masson didn’t see was the connection with an additional 22-year cycle that signals the precessional time ending of Dec. 2012 as heralding the most significant change. But of course, as we continually call attention to throughout this book, remember that Masson wrote this back in 1980 and used this science to correctly predict the demise of the USSR. (DW)]
OTHER SUB-CYCLES OF 2160 YEARS:
2160 / 6 = 360 years, cycles of changes of regime and internal ideology.
2160 / 12 = 180 years, cycle of political change of regimes.
APPLICATION TO FRENCH HISTORY:
1249, constitution of the first Parliament of Paris; (+180 =) 1429, Joan of Arc, the King is consecrated at Reims; (+360 =) 1789, start of the French Revolution; (+180 =) 1968-69 age of the world youth movement, indicating the absorption of the French cycle in the world cycle. 1979-80 marks the peak of the resistance to change by the traditional structures of society; the changes taking shape in this world will pass the point of no return by 1990-91.
CYCLE CONNECTIONS: ROME AND UNITED STATES
To show the importance of numbers, we will take for example the US, which Michel Helmer and many other observers consider the new Rome: the same spirit of enterprise, the same general morality, the same kind of laws as republican Rome. The first Punic War that Rome waged against Carthage was from 264 to 241 B.C., which corresponds 2160 years later to 1896-1919. One can say that in 1896-97 an economic war began between the US and Europe*, especially Germany, a struggle made concrete by the Dingley Tariff and which ended in 1918-19 by Germany's defeat, thanks to the decisive American support in 1917. (*The Spanish-American War surely belongs to this cycle: geographically, economically, politically and militarily it is a perfect parallel. – Translator’s note.) Furthermore, the USA’s world economic supremacy dates from 1919, all the European states having emerged weakened from the War.
The second Punic War, the gravest and most dangerous for Rome, started in 218 B.C. and ended in 201 B.C., which leads us 2160 years later to 1941-42 to 1959. [Note: This obviously ties in with absolute precision to the start of World War II and encompasses far more, as stated in the next paragraph. (DW)]
Let us point out, along with the historians, that if the (Roman) Punic Wars were political, their origins were certainly economic – and this applies especially to the third. But all affected the existence of Rome as a great nation and the second brought Rome within a hairs-breadth of destruction, as was the case with the US at the end of 1941 against Japan and Nazi Germany, all of which was followed by the cold (and hot) war against the USSR, grown all-powerful after her victories with the periods of 1947, the Berlin blockade, 1950-53 in Korea. Corresponding to our historical Roman cycle, all ended temporarily by Khrushchev's 1959 visit to the US, bringing China into conflict with the USSR.
But the very next year in 200 B.C. began the Macedonian War which ended in 106 B.C. So shortly after the respite due to the end of the Second Punic War, Rome was forced into war with Macedonia and its King Philip V.
2160 years later was 1960 to 1964, the Kennedy administration and the Cuban missile crisis. We can sum up the events of that time as follows: After a disagreement between China and Russia with a brusque departure of the Russian technicians from China, Khrushchev – the cycle equivalent of Phillip V? – balances that political defeat by an increased support of Cuba, going so far as to install missiles in that island. But in 1962, from October 22 to 28, came the crisis and a brush with the possibility of war, which ended by the withdrawal of Russian missiles and the arrival of Mikoyan in the USA to settle the case. Now,
2160 years earlier, in 198-97 B.C., occurred the Roman victory of Cynocephalus which ended the Macedonian War.
From 192 to 188 B.C. there were wars against the Oriental King Antiochus III, wars that correspond 2160 years later, from 1958 to 1972, to the Vietnam War.
What do the cycles point to next?
First, from 181-174 B.C., the first Celtiberic war during which Rome had to face a serious rebellion in her Spanish possessions. Then from 172 to 168 B.C. occurred the second Macedonian War, against Perseus, the preferred son of Philip V.
Cyclically the first Celtiberic War corresponds 2160 years later, (1979-1985) to a rebellion against US domination, probably in Latin America, lands colonized by Spain, or maybe in Africa, with Cuban troops?
[Note: At the time of this final edit we are rushing the book to print and do not have time to check on this. Contributions are welcomed and will be included here. (DW)]
This second Macedonian War could correspond cyclically to 1988-1992 when a direct USA-USSR confrontation would take place, as during the Cuban affair of 1962.
[Note: Obviously this correlates to the scalar-wave attack by rogue Soviet elements that destroyed the Space Shuttle Challenger, according to Lt. Col. Tom Bearden, followed by the subsequent economic collapse of the Soviet Union. The one mistake that Helmer made was in not realizing that the outer face of the Soviet Union, seen in Gorbachev, would be actively campaigning for peace and the actual dissolution of the USSR would come from within, not by war. Nevertheless, the collapse did occur right on time, and this is one of the most dramatic future prophecies in Helmer’s work. (DW)]
History relates that Perseus succeeded Philip V in 179 B.C., and immediately mobilized his nation in anticipation of a war with Rome, which finally broke out after Rome had pacified Iberia. It seems likely, therefore, that after the guerrilla war in South America and Africa, the US will have to face the USSR. But considering the means of total destruction available on both sides, modern wars are usually waged through buffer states and are played out like a chess game as with Cuba in 1962. Let us pray that it will be similar this time and that mankind will not rush into mutual suicide.
But the peculiar value of the
basic 2160-year cycle and its relation to the history of the USA, the new Rome,
lies in the astonishing parallels between the lives of certain ancient Roman
statesmen and some living Americans.
CATO AND CARTER: A PERFECT PAIR
In 187 B.C., Scipio Africanus, who defeated Antiochus, was being tried, and:
2160 years later in 1973 it was the Watergate scandal that forced Nixon, who had honorably terminated the Vietnam War, to resign and retire to his estate, just as Scipio had done 2160 years earlier.
In 184 B.C. the famous Cato, called the Censor, was elected, and 2160 years later, in 1976. J. Carter was elected.
[Note: The reader should immediately note the immense similarities between the two names. The first three letters of “Cato” are seen in the first four letters of “Carter.” When “Carter” is pronounced with a Southern accent, the “r” at the end is softened, making both names end with a vowel sound. (DW)]
For the sake of comparison, let us review Cato's life:
he came from a family of plebeian farmers and always remained a rustic. Upon his father's death Cato quit the armed forces and cultivated his land, as did Carter. Cato came up through the ranks from private to military Tribune and served in the Roman wars. In 198 B.C. he was elected plebeian edile and proved merciless toward usurers when he was governor of Sardinia. In 187 B.C. he demanded that Scipio turn over his records and accounts, which Scipio refused to do. The historian adds that the details of the trial were confused, but that Scipio was forced to give up his offices and retire to his estate.
The life and acts of J. Carter so far strongly resemble that archetype. He is first and foremost a man of the soil. He was a sailor and Navy officer, a follower and disciple of Admiral Rickover when the latter pushed through the launching of atomic submarines, a practically absolute weapon which led to a long American supremacy. He, too, quit the service upon his father’s death to take care of the family farm. The author is not well-versed enough in American political secrets to affirm that Carter was behind the Watergate affair which led to Nixon's resignation, but he must have played an important part in it.
To return to the future:
Cato, during his government, his “censorship,” tried to bring Rome back to the pristine morality of the first Romans, in opposition to the moral laxity of Hellenistic culture. (*Indeed, by cyclology, ancient Greece, the cradle of democracy but divided into rival states constantly fighting, is the counterpart of today's Europe, and the cycles prove it.) To this end Cato issued several decrees on the economy and life style of the Romans and a famous decree on women’s luxuries.
Carter, 2160 years later, follows the same route with his economic measures on big cars and their excessive consumption, and his famous remark about the underwear of the western settlers to combat the cold. Let us add, however, that Cato only achieved partial results but he fought all his life for his ideal of a return to the strict moral standards of the early Roman Republic. Cato is also famous for the words that invariably ended his speeches when he was again a simple Senator; the classic “Carthage delenda est (Carthage is to be destroyed).” In fact, Rome’s century-old enemy was destroyed, from 149 to 146 B.C.
Any reader can look up more details on the life and work of that Roman statesman; he will be even more impressed by the strange similarity in the destinies of Cato and Carter, at least up to now (1980).
But remember the spiral, or more precisely the helical principle, even if sometimes the cyclical facts repeat identically. As a general rule the repetition is only approximate because the context is quite different. It is likely, by the way, that the grand cycle of 25920 years and the half-cycle of 12950 years correspond to geologic convulsions; some of the Cayce readings (315-4 and 5750-1) place around 10800 B.C. the final disappearance of Poseidia and what was left of Old Atlantis after the first cataclysms. Now 12960 minus 10800 gives us 2160 A.D., a possible date for the end of the convulsions, which will probably begin in the last years of our century. Besides, Cayce announced that some changes will be gradual.
[Note: However, the Mayans and other sources including the Ra Material say that once the precessional cycle ends in 2012, it is the end of third-density time, and therefore all other cycles are automatically “attracted” together at the end. (DW)]
GLOBAL CYCLIC CHRONOLOGY
As we mentioned at the head of this chapter, the ancient civilizations knew quite well the importance of numbers. We should not be surprised that Israel counted from 720 / 721 B.C., when the Assyrian captivity began, in figuring its cyclic chronology. The cyclic correlation of that date with crucial phases of human history proves its validity. Joachim de Flore, the great mystic (1130-1202), established a theologico-historic theory based on the reign of the Holy Ghost coming after the reign of the Son, and his system takes 900 B.C. as a starting date. That is 2160 / 12 or 180 years before the Hebrew date, 720 B.C., so it fits neatly, but leaves us ignorant of the exact date of our entry into the Aquarian Age, when we will have direct knowledge of the nature of God.
The author will take Israel's date, 720 B.C., as his starting point, and the reader will see that by adding the cyclic intervals of 1080, 720, 540 and 180 years we will find the main events and turning points of our age:
( Fig. 1:)
|
PRECESSIONAL CYCLE OF 2160
YEARS | |||
|
720
BC: Cycle
begins Israel in
captivity |
720
BC: Cycle
begins |
720
BC: Cycle
begins |
720
BC: Cycle
begins |
|
LIFE
CYCLE OF EMPIRES AND CIVILIZATIONS (1080
YEARS) |
SPIRITUAL
CHANGES
(720
YEARS) |
MASS
MOVEMENTS OF PEOPLES (540
YEARS) |
POLITICAL
CHANGES
(180
YEARS) |
|
|
|
|
-360
Accession of Philip of
Macedon |
|
|
|
-720+539 / 540 = 180
BC
-11= -191 -180
+11= -169
Under pressure from the Huns,
movement of peoples toward
the West and toward China. The Bastarns and other German tribes push
toward the Danube but are stopped. |
-11 = -191 Scipio, Cato,
Perseus -180
+11 = -169
Gracchi |
|
|
-720 + 720 years
= Year 0
BIRTH OF
CHRIST |
|
Year 0
BIRTH OF
CHRIST |
|
|
|
|
-11 = 169
Marcus Aurelius repulses the
first Germanic invasions + 180
+11 = 191
Plague in the Empire
|
|
360
Final invasions of the Occident
by the Germanic tribes, pressed by the Huns. End of the Western Roman
Empire. |
|
-180 + 540 =
360 360
Again, under pressure from the
Huns, mass migration, and conquest of the Western Empire by the
barbarians. |
-11 =
349 360
+11 =
371
The Franks in Campine.
Permanent invasion of the Western Empire.
The Huns at the
Don. |
|
|
|
|
450
Attila invades the Occident and
is thrown back by Aetius and the Visigoths. He turns towards Italy. His
death. |
|
|
|
|
540
Byzantium retakes southern
Italy. The Goths are checked. |
|
|
|
|
-11 =
619
Mohammed at
Mecca 630
+11 =
641
Expansion of Islam into Mossoul
and Egypt |
|
|
720
Iconoclasm. First major crisis
of the Catholic Church. End of the apostolic and mystical
period. |
|
-11 =
709
Arabs in Spain invade
France. 720
+11 =
731/732
Charles Martel defeats the
Arabs at Poitiers. |
|
|
|
360 + 539/540
= 899 /
900
Mass migrations all over
Europe: Vikings, Arabs, Hungarians. In 899 movement reaches a climax.
Mongols invade China. |
-11 =
889
Mass invasions of Vikings and
Arabs. 900
First
resistance.
+11 = 911
Treaty of St. Clair-sur-Epte
settling and assimilating the Vikings in
Normandy. |
|
|
|
|
990
Accession of new dynasties in
Europe |
|
|
|
|
1080
Struggle between the Germanic
Emperors and the Papacy |
|
|
|
|
1170
Genghis Khan and
Salah-ed-Din |
|
|
|
|
-11 = 1249
Alexander Nevsky overcome by
the Mongols 1260
+11 = 1271
In 1271 Mongols possess 2 / 3
of the known world |
|
|
|
|
-11 = 1339
Start of the Hundred Years
War 1350
+11 = 1361
Tamerlaine |
|
1440
Beginning of the Renaissance.
Final thrust of Islamic Arabs at the Eastern Roman Empire; birth of
Russia, claiming to be the successor of
Byzantium. |
1440
The Renaissance. John Hus first
protestant against the Papacy. End of the temporal power of the popes
after 70 years of antipopes and crises. |
-11 = 1429 1439 /
1440
+11 = 1451
Final movement of Arab peoples.
End of Byzantium in 1453: end of schism of the Occident. End of the
Hundred Years War. Arabs & Islamic invasion of Balkans as far as
Austria. |
-11 = 1429
Joan of
Arc
Turning point of the
War 1440
End of the Hundred Years
War
+11 = 1451
End of the Eastern Roman
Empire |
|
|
|
|
-11 = 1518 /
1519
Martin Luther; Cortez in
Mexico 1530
Anglican Church; beginning of
religious wars
+11 = 1541
Calvin; Ivan the
Terrible |
|
|
|
|
-11 = 1609
Founding of
Canada 1620
The
Mayflower
+11 = 1631
Battle of White
Mountain
Start of the Thirty Years
War |
|
|
|
||