Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts

Monday, September 1, 2025

The Mystery of the Maya Calendar | Martin Armstrong

Of all the calendars devised by man, there is truly nothing like the Maya investigation. They seem to be an ancient people who understood time. How, I am not sure. But their calculations are astonishing, and are not based upon the planets, but upon the cyclical forces of nature that they perceived. They certainly thought dynamically, rather than linearly, suggesting a more Asian foundation compared to European.

The Bearer of the Burden of Time: The Haab' calendar consists of 18 uinals (20-day periods) followed by
a 5-day period called wayeb, deemed unlucky as it disrupts the cycle, totaling 365.2422 solar days. 

The number 26 also shows up in the Maya calendar, which is quite remarkable. The calendar consists of a ritual cycle of 260 named days, and a 365-day year. Both are running in a complex, concurrent relationship. These components combine, creating a cycle of 18,980 days, constituting 52 years of 365 days, known as the "Calendar Round," where, at the end, a specific day designated in the 260-day cycle returns to the start, insofar as it recurs in the same position in the year. The 260-day cycle is formed by the combination of numerals 1 through 13, which mesh with a rotating wheel of 20 names in an ordered sequence. If we take 260 days and divide by 5, we end back at 52.

 
 
The Maya calendar is complex, shows dynamic thinking, and is far more intriguing from a mathematical perspective. The 365-year cycle was divided by 18 named months of 20 named days, with 5 days of mystic evil omen. The Maya named years based upon the first name of the day that appeared. However, the 365 days could be divided by 5, yielding 73 days (close to the 72-intensity cycle), and the number of named days being 20 was also divisible by 5, resulting in only 4 names combined with 13 numbers that could ever begin a year. These seem to be called "Year Bearers," and were assigned according to the 4 quarters of the world, and were given 4 specific colors. This becomes akin to the saying involving the 4 corners of the world and the 4 winds.

Measuring time since the day of the creation of the universe,
4 Ahau 8 Cumku (August 11, 3114 BCE), is known as the Maya Long Count.
 
The manner in which the Maya recorded dates shows a highly tuned style of dynamic thinking rather than linear. To specify a date in the "Calendar Round," they used the designated day by its numeral and name distinction, and added the current month by prefixing the number of days that had passed with the corresponding number for that month, using 0–19 rather than 1–20. A date written in this curious manner would occur only once in every Calendar Round, resulting in intervals of 52 years.

Yet the Maya were still concerned about reflecting time in a much longer space dimension. They showed a dynamic thinking process for time, and a keen sense of history that they needed to be able to reflect. The Maya devised the "Long Count," which was based upon a system of a count of 20; they strangely used 18 as the multiplier (18 × 4 = 72). Therefore, the dates were written as: kin (day); uinal (20 days); tun (18 uinals or 360 days); katun (20 tuns or 7,200 days); baktun (20 katuns or 144,000 days). Why the Maya used 18 as the multiplier is unknown. Perhaps they noticed the volatility of history, perhaps instigated by nature. 
 
Temple of Kukulkán, the feathered serpent, at Chichén Itzá, Mexico.

The "Long Count" was a means of anchoring time in a continuous time-space dimension, which they could see unfold as such: 1 kin = 1 day, 20 kin = 1 uinal, 18 uinals = 1 tun, 20 tuns = 1 katun, 20 katuns = 1 baktun. The Long Count was not just a calendar alone; the Maya conceived time as a dimension through which history is formed, but also as a cyclical event of self-organizing structure. The basic elements of the Mayan calendar have little to do with astronomy. The Maya seem to have placed great significance on cycles. There is the curious 819-day cycle (13 × 9 × 7 = 819), which also shockingly produces 2.24 years! The hidden order exists—it is not chaos!
 
 
 
The interesting aspect of the Maya calendar is its concurrent and dynamic structure of time, which is closer to what I have described from independent observations, having nothing to do with planetary movements. The use of both the 72 and 26 units of time is striking. The Aztec calendar followed the Maya in many respects, but incorporated a 584-day cycle from the planet Venus, and two 52-year cycles were considered "One Old Age," when the day cycle, the year, and the period of Venus all came together. These were also noted by the Maya, but were more important to the Aztec. All Meso-Americans believed in the cyclical destruction and re-creation of the world in these great sweeping periods of time.

The core of the Maya calendar is that the world is destroyed and reborn time and time again. While they saw the end of this world on December 21st, 2012, that would erupt from earthquakes, that is a separate issue. Lacking the data of the previous cycle from which the Maya started their calendar, there is no way to project forward to even test the theory. Like most religion, this falls into the area of faith, not math.

Calendars based upon the moon cycle of 19 years, known as the Metonic Cycle (named after Meton of Athens in 432 BC), or the solar cycle of 365.25 days, or the 28-year cycle when the same day repeats with the same number under the Julian Calendar, have created interesting math calculations. The Julian calendar cycle = 7,980 years, produced by 19 × 28 × 15. The last 15-year cycle is the Roman tax and census cycle of Indiction. There are calendars based upon Jupiter and its 12-year cycle. But all are cyclical-based.


 
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Saturday, February 15, 2025

Astrologers and Scientists | Theodor Landscheidt

Kepler and Galileo did not talk about interdisciplinary research, they lived it. Kepler was not only an astronomer and astrologer, but also a meteorologist, mathematician, harmonist, philosopher, theologian, and mystic. Newton, last but not least in this trinity of creative scientists, wrote much more on alchemy, theology, and metaphysics than on physics and mathematics. In hundreds of nights spent in his unhealthy alchemical laboratory, he searched for the noumenal light, the bearer of life and mind, quite different from the phenomenal light he dealt with in his optics. Kepler, Galileo, and Newton integrated the knowledge of their age. This was a necessary condition for their creativity.


In our days, astrologers and scientists do not live up to their great predecessors who initiated a new age in science. There are few exponents who coalesce astrological views and modern scientific knowledge to create new paradigms. Most scientists do not realize that their findings confirm fundamental astrological ideas, and most astrologers do not see that creative scientists transgress the frontiers of traditional astrological knowledge. In our time, astrology's faculty to integrate diverging fields of knowledge is merely a dormant potentiality. Faint-hearted astrologers timidly defend the old saying "as above, so below" by reducing it to a mere analogy, whereas scientists like the dynamic systems theorist Erich Jantsch and the Nobel Prize recipient Ilya Prigogine boldly claim that there is interdependent coevolution of microcosmic and macrocosmic structures regulated by homologous principles, which go back to common cosmic roots that converge in the cosmic-egg phase of our universe. Even operations research, a rather practical field of knowledge, follows the basic rule that the behavior of any part of a system has some effect on the system as a whole.

The application of such rules, however, is restricted to the narrow limits of human activity in society, technology, and economy. Scientists lack the boldness of astrological imagination that could stimulate a projection of basic insights upon the dimensions of the solar system—the realm of the Sun, Earth, and planets—that induced creative ideas in Kepler, Galileo, and Newton. The result of the experiments suggested by Bell's theorem begs for a new synthesis that integrates fundamental astrological ideas and modern scientific knowledge. Thus, let us try such a new kind of genuine interdisciplinary approach. It will yield intriguing results, which show that the Sun and planets function like an intricate organism regulated by complex feedback loops. 
 
The Sun, which makes the planets revolve around its huge body, is again influenced by the giant planets Jupiter, Saturn, Uranus, and Neptune, which make it revolve around the common center of mass of the solar system. This very irregular motion regulates the Sun's varying activity, which again influences the planets, and so on. This feedback loop will be revealed by deciphering a kind of Rosetta stone of planetary forcing. We shall come to know how the tidal planets Mercury, Venus, Earth, and Jupiter, and the giant planets cooperate in regulating or modulating essential features of the Sun's activity: the former by special effects of tide-generating forces, and the latter via the Sun's oscillations about the center of mass. And Jupiter, this massive planet just below the level of a binary star, is the link between both groups; it is the only planet involved in both functions, thus playing a central role.

Accordingly, special Jupiter configurations prove to be related to variations in the Sun's rotation, the incidence of energetic solar eruptions, geomagnetic storms, variations in the ozone column in the Earth's atmosphere, rainfall, temperature, rises and falls in animal populations, economic cycles, interest rates, stock prices, variations in the gross national product, phases of general instability, and even historical periods of radical change and revolution. In addition, consecutive Jupiter configurations constitute long-term cycles, the harmonics of which point to short-term cycles that appear in various time series of solar-terrestrial events. The most significant harmonics form ratios that reflect consonances and even the major perfect chord in musical harmony. This new precise realization of the Keplerian "music of the spheres" makes it possible to "compose" predictions of the Sun's activity and its terrestrial response.

Tuesday, March 5, 2024

The Psychology of Modern Leftism | Theodore Kaczynski

59. We divide human drives into three groups: (1) those drives that can be satisfied with minimal effort; (2) those that can be satisfied but only at the cost of serious effort; (3) those that cannot be adequately satisfied no matter how much effort one makes. The power process is the process of satisfying the drives of the second group. The more drives there are in the third group, the more there is frustration, anger, eventually defeatism, depression, etc.

 Assistant professor Kaczynski at UC Berkeley in 1968.

60. In modern industrial society natural human drives tend to be pushed into the first and third groups, and the second group tends to consist increasingly of artificially created drives.

 
 » The truth is superior to provability. « 

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Sunday, October 23, 2016

Composites and Primes as a Self Organized System | Nikola Tesla

Nikola Tesla’s map to multiplication contains all numbers in a simple to use system. Since the diagram is
dated 12/12/12, December 12, 1912. Tesla likely created it during the last years of his Free Energy Lab in
Wardenclyffe. The map is very intuitive, allowing to see how numbers work together based on a spiral with 12
positions. 12 and multiples of 12 is the most highly composite system. There are 12 months in a year, 12 inches
in a foot, 24 hours in a day, etc. 12 can be divided by 2, 3, 4, and 6, so can all multiples of 12. For every 12
numbers there is a chance of 4 numbers being a prime. They happen to fall in positions 5, 7, 11, and 1 (think
clock positions). Tesla said: “If you only knew the magnificence of the 3, 6 and 9, then you would have the key
to the universe.
” The digital roots of the numbers in positions 3, 6, 9, and 12 constantly repeat the same
sequence 3, 6, 9.
A Tesla Multiplication 3D interactive applet can be found HERE.
Well, in reality all of the above was created by math teacher Joey Grether: He originally developed the chart for
his children. He tried to promote it via 12xspiral but with little success. So he cheekily decided to create a
hoax, making it look like the chart was by Nikola Tesla (HERE)