Showing posts with label Johannes Kepler. Show all posts
Showing posts with label Johannes Kepler. Show all posts

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.

Friday, March 1, 2024

Planetary Harmonics | Larry Berg

 
» The heavenly motions are nothing but a continuous song for several voices, to be perceived by the intellect, not by the ear; a music which, through discordant tensions, through syncopations and cadenzas as it were, progresses toward certain predesigned six-voiced cadences, and thereby sets landmarks in the immeasureable flow of time. « 

— Johannes Kepler, 1619, The Harmony of the Universe, Book V, Chapter 7. 

 
 
See also:

Friday, February 17, 2017

The Harmony of Being | Geometry in Man, Nature, and Cosmos


Proportional roots: (a) the √2 proportion, (b) the √3 proportion,
and (c) the golden mean (Phi) proportion.

Loai M. Dabbour (2012) - Geometry describes the assertions of a mathematical order of the intrinsic nature of the universe. Geometry is the very basis of our reality, and we live in a coherent world governed by underlying laws. Johannes Kepler stated that geometry is underpinning the cosmos, which was based on Plato’s ideas that God created the universe according to a geometric plan. The structure of the universe is determined by and revealed as certain mathematical and geometric constants which represent a confirmation that proportions are the underlying fabric of nature. This can be seen in man, nature, and cosmos.

Root proportions based on the square.

By contemplating geometric proportions, an understanding towards the sacred truth can be obtained since geometric proportions are one of the definitive geometric qualities of life itself. The Holy Quran tells us that man has within himself all what is reflected in the universe - the best proportions. Man is the core of God’s creatures; he possesses the most harmonious proportions, reflecting of the Divine harmony of being. "We have indeed created man in best of forms" – proportions (Surah At-Tin, 95:4). Leonardo da Vinci illustrated the mathematical proportions of the human body, showing that human being exhibits clearly golden mean proportions in his body based on ratios of 1.618.The Vitruvian Man drawn by Leonardo Da Vinci is based on Vitruvius, who believed that if human proportions could be incorporated into buildings, they would become perfect in their geometry. According to Vitruvius, the distance from fingertip to fingertip should be the same as that from head to toe. The sacred mean rules can be seen in the ratios of body parts throughout the human body. The human body contains in its proportions all the important geometric geodesic measures and functions. The proportions of ideal man are at the center of a circle of invariant cosmic relationships.

Proportions of Venus’ and Earth’s mean orbits.
The mathematical harmony of the universe can be seen from the proportions of the planets in our solar system. For example, the ratio of the sacred mean can be seen in the rotations of Venus and Earth around the Sun in that for each five years that the Earth rotates around the Sun, Venus rotates around it eight times. The connection between 5 and 8, both of which are Fibonacci numbers, is the golden mean proportion (8/5 = 1.6). The result of this motion is that Venus draws a pentagon around the Sun every eight years (Figure A). Figure B shows that a circle is drawn, which represents Venus’ mean orbit. A pentagon is constructed inside it and a small circle placed through the arm-crossing points. The radius of this small circle divides the radius of the large one into golden sections and can be used to space Venus’ orbit from Earth’s orbit. It can be seen from the agreement between eightfold and fivefold geometries that eight touching circles are drawn from Venus’ mean orbit. In turn, the circumference circle is enclosing these eight circles, defining Earth’s mean orbit. The ratio of the mean orbits of Venus’s to Earth is the √2 proportion. The geometric representation of these orbits creates the golden mean proportion.

Saturday, January 7, 2017

Harmony of the Spheres | Dance of the Planets


James Ferguson’s (1710-1776) representation of the apparent motion of the Sun, Mercury, and Venus from the Earth, based on similar diagrams by Giovanni Cassini (1625-1712) and  Roger Long (1680-1770). Taken from the "Astronomy" article in the first edition of the Encyclopædia Britannica (1771; Volume 1, Fig. 2 of Plate XL facing page 449). This geocentric diagram shows, from the location of the Earth, the Sun's apparent annual orbit, the orbit of Mercury for 7 years, and the orbit of Venus for 8 years, after which Venus returns to almost the same apparent position in relation to the Earth and Sun. In Arabic, Venus is called “El Zahra” - the flower. See HERE + HERE + HERE + HERE

Earth - Mercury Cycle.
This and all following graphics by John Martineau.
Earth - Venus Cycle:
Earth = 8 years x 365.256 days/year = 2,922.05 days
Venus = 13 years x 224.701 days/year = 2,921.11 days (ie. 99.9%)
Earth - Mars Cycle.
Earth - Jupiter Cycle.
Saturn - Uranus Cycle.
Jupiter - Saturn Cycle.
Venus - Mars Cycle.
The radius of the Moon compared to the Earth's is 3:11
Radius of Moon = 1,080 miles = 3 x 360
Radius of Earth = 3,960 miles = 11 x 360 = 33 x 1 x 2 x 3 x 4 x 5
Radius of Earth plus Radius of Moon = 5,040 miles = 1 x 2 x 3 x 4 x 5 x 6 x 7 = 7 x 8 x 9 x 10

The ratio 3:11 is 27.3%, and the orbit of the Moon takes 27.3 days, which is also the average rotation period of a sunspot. The closest to farthest distance ratio that Venus and Mars each experiences in the Mars-Venus dance is also 3:11. The Earth orbits between them. The sizes of the Moon and the Earth is drawn to scale in the last illustration above, where the perimeters of the dotted square and the dotted circle are of the same length: The perimeter of the dotted red square is 4 x Earth’s diameter = 4 x 7,920 miles = 31,680 miles. The circumference of the dotted blue circle is 2 pi x radius = 2 x 3.142 x 5040 miles = 31,667 miles (ie. 99.9%).

Monday, December 19, 2016

Sun — Earth — Man | In Tune With Cosmic Rhythms

"The unanimous message of mystics of all ages that all entities in the universe are interconnected and constitute an indivisible whole is proven now by unequivocal physical experiments that have been replicated again and again. From this undeniable unity, connectedness, and inseparability follows that any action or configuration in any distant part of the universe can influence processes in the solar system inhabited by man. This is also valid for the interrelations of Sun and planets within the solar system and especially the Earth's connections with other cosmic bodies in the solar environment. 

To look at the solar system and its constituent parts as a whole that embraces a complex web of holistic interrelations, is a premise of traditional astrology, which seemed antiquated, but turns out to be trend-setting. Thus, it appears promising to subject the astrological thesis of an influence of celestial bodies on the Earth and life on its surface to a new test. The quality of the astrological body of theses matches the holistic results of modern research, as it represents the archetype of an integrating science. Astrology of this brand was a historical reality in the era of Kepler, Galileo and Newton. It is well known that Kepler was both an astrologer and one of the creative founders of modern science. Book IV of his principle work Harmonices Mundi (1619) with the heading "Book on Metaphysics, Psychology, and Astrology" is evidence of this, as well as his papers De fundamentis astrologiae certioribus (1602) and De stella nova (1604). Those who pretend that Kepler was not really engaged in astrology should read these writings." 

Theodor Landscheidt - German jurist, mathematician, astronomer, astrologist, 
and climatologist, in Sun - Earth - Man: A Mesh of Cosmic Oscillations (1988).

Theodor Landscheidt (1989): Mini-Crash in Tune With Cosmic Rhythms.
Solar system instability events and the stock market.
In: Cycles Magazine - Volume 40, Number 6 Nov-Dec, pp. 317-319.

Saturday, December 12, 2015

The Same, The Other, and the Essence │ Plato's Theology of Arithmetic

One, two, three. Let me tell you then why the creator made this world of generation. He was good. He took the three elements of the same, the other, and the essence, and mingled them into one form, compressing by force the reluctant and unsociable nature of the other into the same. When he had mingled them with the essence and out of three made one, he again divided this whole into as many portions as was fitting, each portion being a compound of the same, the other, and the essence. And he proceeded to divide after this manner: 

First of all, he took away one part of the whole [1], and then he separated a second part which was double the first [2], and then he took away a third part which was half as much again as the second and three times as much as the first [3], and then he took a fourth part which was twice as much as the second [4], and a fifth part which was three times the third [9], and a sixth part which was eight times the first [8], and a seventh part which was twenty-seven times the first [27]. After this he filled up the double intervals [1, 2, 4, 8] and the triple [1, 3, 9, 27] cutting off yet other portions from the mixture and placing them in the intervals, so that in each interval there were two kinds of means, the one exceeding and exceeded by equal parts of its extremes [1, 4/3, 2, in which the mean 4/3 is one-third of 1 more than 1, and 1/3 of 2 less than 2], the other being that kind of mean which exceeds and is exceeded by an equal number. Where there were intervals of 3/2 and of 4/3 and of 9/8, made by the connecting terms in the former intervals, he filled up all the intervals of 4/3 with the interval of 9/8, leaving a fraction over; and the interval which this fraction expressed was in the ratio of 256 to 243. And thus the whole mixture out of which he cut these portions was all exhausted by him.

This entire compound he divided length-ways into two parts, which he joined to one another at the center like the letter X, and bent them into a circular form, connecting them with themselves and each other at the point opposite to their original meeting-point; and, comprehending them in a uniform revolution upon the same axis, he made the one the outer and the other the inner circle. Now the motion of the outer circle he called the motion of the same, and the motion of the inner circle the motion of the other or diverse. The motion of the same he carried round by the side to the right, and the motion of the diverse diagonally to the left. And he gave dominion to the motion of the same and like, for that he left single and undivided; but the inner motion he divided in six places and made seven unequal circles having their intervals in ratios of two-and three, three of each, and bade the orbits proceed in a direction opposite to one another; and three [Sun, Mercury, Venus] he made to move with equal swiftness, and the remaining four [Moon, Saturn, Mars, Jupiter] to move with unequal swiftness to the three and to one another, but in due proportion.
 
Timaeus - Plato (360 BCE)

  
Johannes Kepler knew that "ubi materia, ibi geometria" (Where there is Matter, there is Geometry), and "that the geometrical things have provided the Creator with the model for decorating the whole world". In Harmonices Mundi (The Harmony of the World, 1619) he related musical consonance and the angular velocities of the planets, for example, the ratio between Jupiter’s maximum and Mars minimum speed is as 5:24. That is equivalent to the interval of two octaves plus a minor third. The two octaves are eliminated by dividing 24 with 4, which gives the ratio of 5:6, a minor third. From his studies of planetary harmonics Kepler also arrived at the bold conclusion that between Jupiter and Mars must exist an unknown planet: "Intra Jovem et Martem posui planetum." ("Between Jupiter and Mars, I put a planet.") Some 170 years later the so-called asteroid belt was found in the corresponding place.