Pauli’s Cosmic Dream

above: Wolfgang Pauli, ca. 1924. Wikipedia CC BY 4.0

Renowned psychiatrist Carl Jung had an intellectual friend in Wolfgang Pauli, a leading theoretical scientist in the development of quantum mechanics who had offered (with others) a third perspective to the deterministic physics of Newton and relativistic physics of Einstein. For example, Pauli’s Exclusion Principle explained how sub atomic particles of the same type could be connected to each other (entangled) on the level of the very small.

Dream analysis with Carl Jung opened Pauli up to the inner worlds of alchemy, archetypes, and dreams. Pauli recounted his dreams to Jung who would analyze their symbolism. One dream is of special interest here since it concerned a cosmic clock with two discs with a common center: one vertical and the other horizontal. The vertical disc was blue with a silver lining upon which were 32 divisions and the hand of a clock pointing to a division. The horizontal disc was divided into four differently colored quadrants, surrounded by a golden ring.

above: A visualization of Pauli’s report of his dream of the Cosmic Clock. The black bird would traditionally be a member of the Corvus or Crow family. In the original one sees 32 rings punctuating the outer ring. below: Jane Roberts colored it, noting it resembled Ezekiel’s vision. 

This reminded me of the 32 lunar months which take 945 days to complete so that each lunar month could be known in ancient times as 945/32 or 29.53125 days, only 57 seconds too long! The clock had three “pulses”, the first moving the hand on the scale of 32, the second pulse occurring after the hand had completed one revolution, after which, something golden and presumably the Sun, moving something on the golden ring, by 1/32 of its circumference. Pauli said the golden ring was black before the clock’s hand started moving, and it seems that Pauli experienced this goldenness as a principle of geometrical harmony. If the golden disc is the sun and, since the lunar month is the completed illumination of the moon by the sun, here the sun is lit up by the moon to become golden rather than black.

Such an apparatus would complete itself in 32 times 32 (1024) pulses, these taking 945 times 32 or 30,240 days. This long cycle is three times 10,080 which number is the diameter of the sublunary sphere (14) then 10,080 in the factorial Equal Perimeter model, a model which presents the size of the earth and moon whose diameters are in the ratio 11 to 3, the mean earth diameter of 7920 miles and moon diameter of 2160 miles. This model has been found present within many ancient monuments up to the modern era, hence expressing past cosmological knowledge. Though the vertical “face” of the clock is blue, the colors of the four horizontal quadrants were red, green, orange, and blue, each quadrant having an outward facing “monk” holding a pendulum that, by Pauli’s day, represented the counting of time as seconds, rather than as days.

The whole apparatus is held aloft by a black bird, and this can explain the 30,240 days as eighty synods of Saturn (378 days), the planet that moves (between its synodic loops each year) a similar distance on the Zodiac as the Moon moves in a single day, which is one reason why Saturn was called a god of Time. In the Greek Myths, the crow family were not black but white until the separation of the “world parents”, namely the ecliptic and equatorial planes, this separation of the parents being the cause of the long Precession of the Equinoxes in 25,920 years. More significantly, it is this separation that divides the solar year into four quadrants of the clock. The quadrants are separated by the four gates of the year: the spring and autumn equinoxes where the parents cross one another; and the summer and winter solstices where, outside of the Tropics, the sun is higher or lower in the sky, creating the four seasons.

Equating the 32 divisions in the dream with 32 lunar months has allowed what is a dream to be quantified and connected to the ancient model, in a new and factual way, where the golden ring is the Sun on the ecliptic and the bird is Saturn. Distance and Time become twin dimensions since the size of the earth and moon, in miles, are then related to the lunar month within this harmonious clock. Another boundary has also been crossed, between our conscious daytime experience, as factual, and our subconscious nighttime experience of dreaming, as imaginative. A model of time on Earth was communicated through Pauli’s dream life. Jung called it the Collective Unconscious and it is either (or both) a door to the higher intelligence responsible for the creation of time on earth or (and) to the ancient works of astronomy that had understood the world of time to be a numerical creation. For this reason, Sacred Geometry: Language of the Angels got its name.

Jung later discovered a similar dream emanating from the Christian mystic Guillaume (whose works inspired John Bunyan’s Pilgrim’s Progress). Guillaume’s “vision” was presented as a dialogue with an angel. The details are different but significantly, a small blue ball (said to represent ecclesiastical time) was floating in an golden sea of Eternity and manifesting the Trinity within the Zodiac of twelve signs (3 times 4), as 12 fishermen who together manifest the Trinity. Guillaume did not understand so the angel then talked about the three principal colors as being green, red, and gold, but abruptly stops, terminating further questioning. Jung had already found, in the number three within the Trinity a culturally dominant form of masculine thinking which came out in the dream as the color not mentioned, namely blue – the color of the “small” sphere in Guillaume’s and of the fourth blue quadrant in Pauli’s version. Blue is associated with the Goddess, portrayed in the cloak of Mary, the mother of Jesus.

The missing goddess figure is also found in Vishnu’s awakening to his creation of a new world through Prajapati, the first man. Prajapati emerges out of a lotus, a flower growing from Vishnu’s navel, a flower that had Brahma (the creator god) in its many petals. So long as Vishnu sleeps between creations, the goddess attended to him but when He awakens, she has disappeared (because she is considered the supreme reality of the creation). It was Pauli’s feminine side who had, thought Jung, like Eve revealed the cosmic clock to him.

In my forthcoming book: Sacred Geometry in Ancient Goddess Cultures (chapter 11), the harmonic model can be seen emerging from this cosmic clock of lunar month and year and the planetary synods resonating with these musically. The biblical Adam then emerges within a lunar octave of doubling from 45 (through 90, 180, 360, 720, 1440). The coordination of such stories of “first men” within scripture might not have happened through the diffusion of traditions but instead, it may subsist in something like Jung’s collective unconscious, that men dream through their feminine side (and women through their masculine side), as seen in these dreams. This makes sacred geometry in ancient matriarchal cultures significant today when masculine thinking has become so dominant. It is also interesting that the early Indian myth of Vishnu had the god sleeping at night and, as humans do , re-inventing the world during the day.

Geometry 5: Easy application of numerical ratios

above: Le Manio Quadrilateral

This series is about how the megalithic, which had no written numbers or arithmetic, could process numbers, counted as “lengths of days”, using geometries and factorization.

My thanks to Dan Palmateer of Nova Scotia
for his graphics and dialogue for this series.

The last lesson showed how right triangles are at home within circles, having a diameter equal to their longest side whereupon their right angle sits upon the circumference. The two shorter sides sit upon either end of the diameter (Fig. 1a). Another approach (Fig. 1b) is to make the next longest side a radius, so creating a smaller circle in which some of the longest side is outside the circle. This arrangement forces the third side to be tangent to the radius of the new circle because of the right angle between the shorter sides. The scale of the circle is obviously larger in the second case.

Figure 1 (a) Right triangle within a circle, (b) Making a tangent from a radius. diagram of Dan Palmateer.

Figure 1 (a) Right triangle within a circle, (b) Making a tangent from a radius.

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The Tetraktys as plan of planetary harmony and the four Elements

Figure 1 The elimination of 5 as a factor in the harmonic mountain for 36 lunar years, resolved using matrix units of one tenth of a month and the limit 360 units.

In a previous post I explored the astronomical matrix presented in The Harmonic Origins of the World with a view to reducing the harmonic between outer planets and the lunar year to a single harmonic register of Pythagorean fifths. This became possible when the 32 lunar month period was realized to be exactly 945 days but then that this, by the nature of Ernest McClain’s harmonic mountains (figure 1) must be 5/4 of two Saturn synods.

Using the lowest limit of 18 lunar months, the commensurability of the lunar year (12) with Saturn (12.8) and Jupiter (13.5) was “cleared” using tenths of a month, revealing Plato’s World Soul register of 6:8::9:12 but shifted just a fifth to 9:12::13.5:18, perhaps revealing why the Olmec and later Maya employed an 18 month “supplementary” calendar after some of their long counts.

By doubling the limit from 18 to three lunar years (36) the 13.5 is cleared to the 27 lunar months of two Jupiter synods, the lunar year must be doubled (24) and the 32 lunar month period is naturally within the register of figure 1 whilst 5/2 Saturn synods (2.5) must also complete in that period of 32 lunar months.

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Megalithic application of numeric time differences

Natural time periods between celestial phenomena hold powerful insights into the numerical structure of time, insights which enabled the megalith builders to access an explanation of the world unlike our own. When looking at two similarly-long time-periods, the megalithic focussed on the difference between them, these causing the two periods to slide in and out of phase, generating a longer period in which the two celestial bodies exhibit a complete ensemble of variation, in their relationship to each other. This slippage of phase between celestial periods holds a pattern purely based upon number, hidden from the casual observer who does not study them in this way. Such numerical patterns are only fully revealed through counting time and analysing the difference between periods numerically.

For example, the solar year is longer than the lunar year by 10 and 7/8 days (10.875 days) and three solar years are longer than three lunar years by three times 10.875 days, that is by 32 and 5/8th days (32.625 days), which is 32/29 of a single lunar month of 29.53 days.

The earliest and only explicit evidence for such a three year count has been found at Le Manio’s Quadrilateral near Carnac (circa 4,000 BCE in Brittany, France) used the inches we still use to count days, a “day-inch” unit then widespread throughout later megalithic monuments and still our inch, 1/12 of the foot [Heath & Heath. 2011]. The solar-lunar difference found there over three years was 32.625 day-inches, is probably the origin of the unit we call the megalithic yard and the megalith builders appear to have adopted this differential length, between a day-inch count over three lunar and solar years, in building many later monuments.


Figure 1 (in plan above) The monumentalising of a three-year day inch count at Le Manio as a right triangle based upon its southern kerb (in profile below), automatically generating the megalithic yard.
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Lunar Counting from Crucuno Dolmen to its Rectangle

A fuller treatment of this article can now be found in
Sacred Geometry: Language of the Angels (2021).

Figure 1 The entrance of Crucuno’s cromlech, which opens to the south-east
[Summer Solstice, 2007]

It is not immediately obvious the Crucuno dolmen (figure 1) faces the Crucuno rectangle about 1100 feet to the east. The role of dolmen appears to be to mark the beginning of a count. At Carnac’s Alignments there are large cromlechs initiating and terminating the stone rows which, more explicitly, appear like counts. The only (surviving) intermediate stone lies 216 feet from the dolmen, within a garden and hard-up to another building, as with the dolmen (see figure 2). This length is interesting since it is twice the longest inner dimension of the Crucuno rectangle, implying that lessons learned in interpreting the rectangle might usefully apply when interpreting the distance at which this outlier was placed from the dolmen. Most obviously, the rectangle is 4 x 27 feet wide and so the outlier is 8 x 27 feet from the dolmen.

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Planetary Resonances with the Moon

Readers of my article [post2post id=”327″] will be familiar with the finding that in 32 lunar months there are almost exactly 945 days, leading to the incredibly accurate proximation (one part in 45000!) for the lunar month of 945/32 = 29.53125 days.

In the previous article on Seascale I noticed that 36 lunar months (three solar years) divided by 32 lunar months is the Pythagorean tone of 9/8. This led me to important thoughts regarding the tuning matrix of the Moon within the periods of the three outer planets, since the synod of Jupiter divided by the lunar year of 12 lunar months is the same tone, the tone that on “holy mountains” of Ernest G. McClain’s ancient tuning theory. Such tones are only found between two tonal numbers separated by two perfect fifths of 3/2, since 3/2 x 3/2 = 2.25 which, normalised to the octave of 1 to 2, is 1.125 or 9/8.


Figure 1 If the matrix unit is one tenth of the lunar month, then three lunar years becomes 360 units which, taken to be high do or D” = the harmonic limiting number, presents the matrix above, in the style proposed as indicative of Ancient Tuning Theory by Ernest McClain (see his The Myth of Invariance).  This Harmonic Matrix for 360 = 36 months shows that the 32 lunar month period starts row 2 as 320.
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