Science 12
Presented on: Saturday, December 22, 2007
Presented by: Roger Weir
Coming today to Science 12, which means this is the final presentation of a two-year cycle of eight phases and next week will be the eighth interval to give it an articulation so that those of you who are not going to follow and do another cycle for yourselves will be able to then do the ninth phase, which is the complementarity phase, which you'll be able to consult in your learning civilisation outline, and that ninth phase is always what we used to call in universities 40 years ago self-study. It is something for you to do yourself in your own way and to use whatever 'discipline', whatever yoga you have acquired during the two -year cycle, the ecology of the two years together, to be able to use that yourself in this ninth phase. The traditional wisdom of a nine is that that is the completion of the set of integers one through nine, and that in order to perfect that completed set of integers, one then goes back to the origins of the set, which are not only one, but one with zero, so that one begins to realise that the set of integers, 1 through 9, are kept as a set by a zero parentheticalness, and that when one steps outside of the set of the 9 parenthetically held by the zero, one now counts the next number as 10, 1 to the next power, which would be 10 times what it is. 10 is ten times 1. And that this is the trigger for the ordinal stepping up of the powers of making sets out of the sequences of what can be numbered, so that the next jump from ten would be two zeroes, which would be 100, and so these the powers of 10. There are other ways that we know now from developments in mathematics of the last 100, 200 years, there are many ways to have powers. The quality in the ancient classical west was always that the powers of ones are held in to their set by zero, but one can take the powers of one and parade it so that the one is able to step up its powers in a spatial way by doubling, by squaring, or by cubing, and the classic way in which that was expressed is in Plato's great dialogue the Timaeus, where he takes the Greek letter lambda and shows that from one you can generate two, four, eight, and also from the one you can generate three, nine, twenty-seven, and that the relationship between the squares and the cubes in terms of motion and space will always result into a ratio of 1. This was born out especially in the 19th century, by the discovery that the orbits of the planets around our sun will always follow this kind of golden ratio of oneness and that by multiplying the distance in space of the planet by its orbital motion, that ratio of the squares and the cubes to those dimensions will always produce a ratio which equals one. And so while the orbits of the planets constantly enlarge the further they get from the sun, and their space and movement that they describe, there is an order, it's called Bode's Law, of where planets can maintain themselves stable in the kinetic energy of a star system. We're taking in our learning the tap-root of the deepest wisdom, not of metaphysics but of the actual maturation of our species, especially over the last 40,000 years. The problem for us is two-fold. We were never taught what the lineages and the traditions were, what the histories were, what the wisdom heritage of our species was, and we were never alerted that species are mutable, that they continue to evolve, they continue, especially at the threshold of the vanguard of evolution, they continue to refine, and that our particular species, especially over the last 200-300 years, has been gaining momentum to do a refinement of species. Not a mutation but a refinement. And that in our lifetimes this has occurred enough amperage, enough pressure, that it has speeded up now to become visible in the threshold, whereas you look at young boys and girls, say 14 and under, they are already living in a realm that transcends the dimensions of what men and women were used to, especially over the last 40,000 years. Just as our distant ancestors then were markedly different from the same species that had been around for at least 120,000 years and Homo sapiens, whose origins go back to about 160,000 years ago, refined to Homo sapiens sapiens 40,000 years ago. They became wise about being wise. We are at the cusp of becoming Homo sapiens stelaris, wise hominids who live in a complete star system for whom the interstellar reaches are the backyard and front-yard of adventures, and that the overwhelming context of inspiration is of a galactic structure and one might call this the spiral spirit, and one sees more and more the conscience that a spiral spirit guardian teacher quality exudes in higher dimensions than the four of space-time, a creative, imaginative quality and a remembering quality that goes deeper and deeper, so that past, present and future dissolve as mental conceptions in a continuum, in a continuity that is not only a flow but is at the same time a field. This field is the field of differential consciousness mirroring the field of integral nature in such a way that the complementarity of those two fields together allows for this refinement of maturation to star wisdom human beings.
Not only for our planet in our system, but it is deeply ingrained in the way in which the universe matures into a cosmos each time that a star system is able to develop in this way, and so any civilisations that we meet on the interstellar freeways and highways and byways will be star-system civilisations. One way to understand this is to take a look at Penrose-Wang Tilings. These are mathematical forms that are generated and I'll make this available so you can check out the website. We're taking Roger Penrose along with Stephen Hawking and pairing them with Richard Feynman as our final pair for the square of the final four presentations of the eight-phase Science, so that we're consistently using a pairing quality like a tuning fork and we're applying a kind of methodological combing; not a combing out of snarls like in the hair, but a combing out of a chaotic mash of noise so that we are able to hear language, which is able to convey and express increasingly the refinements of what is real. This tuning is not just a tuning fork used over and over again, but there is a graduated set of tuning forks, which anyone who has ever seen a piano tuner will recognise is how you make the instrument capable of playing music in tune, and to follow compositions no matter what scale they are composed in, the instrument, the piano in this case, will be in tune. We have a set of pairs that are put into triplets and so we square what used to be a book by using a pair of books, and we cube it by using a triplet of those pairs for each phase, so that eight phases times the three will give us 24 pairs, and those 24 pairs of tuning forks are able to tune the very sophisticated instrument that we are as a conscious, living being, capable of inhabiting not only a star system but of exploring a galactic reach. And of comprehending and understanding not only the universe as a one place but the cosmos as an infinite all-possible worlds.
The description that immediately follows on Penrose-Wang Tilings reads: 'Recall that the dual polytope of the 600 vertices of the 600 cell 4-dimensioal hyperdodecahedron,' and they're talking about angles and they're talking about dimensional facets, the golden ratio on edges of a 4-dimensional 24-cell, and if the rational points of the 4-dimensional space are taken to be a 4-diemnsional subspace, stand by the 4 dimensions in the 8-dimensional octonion space with a basis of then 8 coordinate dimensions and the irrational golden ratio, phi equals then the 4-dimensional subspace and the 120 vertices of the 600-cell generate an E8 lattice. An 8-dimensional octagonic space. What our presentation over two years does is to patiently take us through a 24 tuning fork, not a progression so much but really a maturation, and as we do, the recalibration begins to accumulate and the ancient name for this translates into English as the storehouse consciousness. The union term of the collective unconscious is very nice in some respects and very unnice in others. There is no unconscious. The storehouse consciousness, in Sanskrit it's called alaya vijnana, and it is the reserve that is increasingly tapped and as it is tapped it gashes like a fountain and gives its reserve more and more completely so that the blossoming will eventually accept the entire storehouse consciousness and one will be cosmically alert and enlightened, having left nothing unconscious, brought everything forth into living perspective into a vibrant conscious nature and that this is transmissible. Our eight phases are like the noble eightfold path of classical Buddhism. We have a quality that is also very much like the ancient hermetic wisdom. One of the rarest of all the hermetic treatises was found with the Nag Hammadi manuscripts, codexes, in 1945, about the time of ... just a few years before the Dead Sea Scrolls, and one of those treatises was The Eighth Reveals the Ninth. And the saying in that Eighth Reveals the Ninth is that those who achieve the ninth are able to hear the silence of the tenth, and in that silence of the tenth, what they sing is a celestial music which reverberates everywhere because the silence of the tenth allows for an articulation of what those in the ninth are singing, to be heard everywhere, and the vibronic quality that is generated by their ninth singing in the tenth space generates the field of nature, and so nature is renewed constantly, eternally, by those able to mature into the community of the blessed, who are able to sing together, who are real, and that all of this happens not once as a big bang but consistently in continuums that are blazingly astounding in the expansiveness that they transcend time, they transcend space, in such a way that someone like Penrose and Hawking and Feynman and we began science with the pair Einstein and Bohr, and we put two great 20th century women scientists right in the middle, Barbara McClintock who found that genes jump around all the time, and that as transposons that's how life becomes creative to deal with all of the challenges, many of them new, that constantly occur, and that one doesn't follow an old recipe book so much as one recreates the gene structure originally to deal with the actuality that the life-form is encountering. And the other was Vera Rubin, who's the one who discovered that dark matter is by far the major constituent, not only of the universe, but is sourced in dark energy, and that it is not apparent on local levels to see this. You have to transcend millions of galaxies wide to be able to notice that they cluster and move not just drifting but that they have their own cycles and that on these very large scales of the universe it's apparent that there is not enough visible matter in the universe to hold it together. So there must be a gravitational effect of matter that is not visible, and sourcing an energy that is not visible, because it is not in the electromagnetic spectrum, it is rather in the complement of the electromagnetic spectrum which is the magneto-electric spectrum, whose frequencies are about 20 billion times those of the electromagnetic spectrum, so that someone as a spirit being living in the magneto-electric dimensions of the cosmos, would be able to take one giant step and step through our so-called big bang universe without touching a single atom, and without moving more than just one step. So that we are maturing ourselves to a cosmos that is astounding in every way and which is incumbent upon us to recalibrate ourselves, out of the selfish sandboxes of metaphysical nightmares, back into the light.
One of the qualities that distinguishes Stephen Hawking is that he constantly is going back, again and again, to recover the history of physics. His latest book is on Einstein, the A Stubbornly Persistent Illusion: The Essential Scientific Works of Albert Einstein. Einstein in one of his writings said the idea of a past, present and future of time is a stubbornly persistent illusion. Time is not the arbiter of reality. Nor is space the proctor of what is possible. Time and space are dimensions of a visible 4% of the universe and there is a great deal more. One of the earliest presentations of Hawking going back to trace the histories of science because science must come out, it blossoms as a special form out of what history is in its flow, and we've seen that history is a kaleidoscopic consciousness. It is not a chronology of dead facts. The quippers who say, 'That's over, you're history' as if you're dead and gone, the only thing dead and gone there is that dead-end opinion and that metaphysic. History is a complex multiple flow, constantly expanding, of kaleidoscopic consciousness, that comes forth from the prism of the spiritual person who has achieved a 6-dimensional quality of their lives, and of their remembrance and of their creativity, and they have emerged as if they were born again, not out of a doctrine, not out of beliefs, but out of a 5-dimensional field of differential consciousness, which in itself is only possible to discover that one is free in this field by making the symbols of the mind transparent. And it's only with the transparent mind that our higher tutorial spirit quality can reach through the frame of the mind and pull us free, out of the limitations of that frame of reference, out of the veil of images and of memories and of doctrines and of ideas which increasingly, as they become more and more transparent, the invisible so-called realm becomes real enough to help our spirit tutorial quality pull us through from the mind that was a limitation to a mind that is like a doorway, through which we now emerge increasingly into freedom. The quality of that larger dimeniality was always called in the West a harmonic, and Stephen Hawking, in his early book On the Shoulders of Giants, took five great scientists, one of them was Einstein, another was Newton, one of them was Johannes Kepler, and the publishers took the selection of each of the five scientists from Hawking's earlier book and put it out in paperback by themselves. This is Harmonies of the World [The Harmony of the World?] Book 5, by Johannes Kepler. And the other scientists are Copernicus, Galileo, Newton and Einstein.
With Kepler, one reaches the initial threshold of the way in which science, for the first time since antiquity, was able to step forth into a freedom of understanding that had been imposed at that time for about 1300 years. If one looks at the Great Books of the Western World series, you will find Ptolemy, Copernicus and Kepler. You will find Ptolemy who goes back to the classical way in which the universe was put together in the second century AD, to Copernicus, who made the first improvement on that Ptolemaic universe, that the universe is not earth-centred but sun-centred; and finally Kepler. The selection is the Epitome of Copernican Astronomy, which is an unfortunate selection because he is not about Copernicus, he is about Kepler completely new. And one of the qualities of Kepler, his mother was accused of witchcraft because someone who is completely new like Kepler is always sabotaged by enemies. They couldn't sabotage him, because he was one of these incredible figures, enormously connected in link and high quality, so they tried to get to him through his mother. One of the qualities of Kepler is that one of his little-known monographs is On the Six-Cornered Snowflake. The six-corned snowflake is extraordinary because it is a very simple geometry which is obviously universal, but each snowflake is individual and unique. No two snowflakes are ever alike nor will they ever be alike. If you've been in a wet, winter blizzard you know how many snowflakes there are in just one hour of standing there, like Thoreau, being a surveyor in the snowstorm, to share the snowstorm with the trees. Every snowstorm that has ever taken place in this planet or will ever take place on this planet or any other planet or any other moon will always be individual. It will have its own architecture. One of the qualities of this is that the cover of one of the most important books of the 20th century, Hermann Weyl's book on symmetry, has a Keplerian snowflake embossed on the cover, published by Princeton University Press. Because at the time Weyl, who was one of the great founders of Group Theory in mathematics among other things, was at the time at the Institute of Advanced Studies at Princeton, and here's a photo. And in the photo one sees this very tall figure in the back here, this is Herman Weyl. The figure here on the side is a great physicist, Eugene Wigner. Next to him is a great mathematician whose name is Kurt Gödel, and next to him is Nobel prize winning physicist I I Rabi. Next to him is Albert Einstein, and over on the far side is J Robert Oppenheimer. So that you have here six of the greatest makers of modern science, at one time in one room, and they are used as an illustration for Roger Penrose's book, The Road to Reality, in a Book Club. Because it is here in Penrose's The Road to Reality that he is able to describe it as a complete guide to the laws of the universe. The universe can have complete laws that are presentable. The cosmos cannot. Because the cosmos is alive and evolving and maturing and that we have an active part in the creativity of it, in the remembering of it, in the expansion of the differential conscious field to the kaleidoscopic conscious flow, it is our generating through the prisms of our persons as a community on the planet and soon the star system, to generate a historical flow that is able to be the river out of which the cosmos is rejuvenated. The Road to Reality is almost 1100 pages. In The Road to Reality, one of the earliest illustrations out of nearly 400, figure 1.3 is a little drawing by Penrose of three realms. One of the realms is entitled 'the physical world'. The other little sphere is called 'the mental world' and the third up above is 'Plato's mathematical world'. And the caption is 'Three worlds - the Plutonic mathematical, the physical and the mental, and the three profound mysteries in the connections between them.' So that the beginning of The Road to Reality, Penrose goes back to the Platonic forms of mathematics, but Plato learned his maturation from Socrates, and Socrates learned his maturation from a woman named Diotima of Mantinea. You can read it in Plato's Symposium. Because it is the harmonics of love, which has the complementarity fertile enough so that the remembering and the creativity can be synergised and bequest and passed on in the fertility so that whatever is seeded by the fertility will be able to grow in life and recover through the blossoming of their maturity, all of the remembrance, all of the creativity, and pass that on to their children, to their next generation, so there's an on-going continuum of a flow, generational, and of a field, communal. And it is this quality that Diotima learned from her teacher, who was Pythagoras. And it is Pythagoras that Penrose originally goes to. It is not that the world is just made up of numbers, but that numbers have a particular revelatory quality. They not only are themselves, but they are also in a definite sequence and that that sequence has ways of being folded like taking two whole numbers and making a ratio between them. So that one half is not only a half of one but one to two is a living ratio, and has its own vibratory capacity to index a harmonic. Just the same, 2 to 3 or 3 to 4 or 4:4 time, the musical quality of the sphericality of the rationalities is a harmonic which is not only indexable by the whole numbers, but the folded pairs of those numbers will give you a sense of proportion. And it is the proportionality that is the ratio of the rational mind. The rational mind originally is not rational because you egg crate it into rationalism, but that you ratio it into proportions which deliver for you the sense of the music of life. That it is real in this way. One of the deepest qualities of Pythagoras was to leave pithy little statements. They rarely ever mentioned the name Pythagoras because he was so honoured they just said of these statements Ipse dixit, he said. He said geometry is history. That when you understand the unfolding of geometry, one begins to understand the kaleidoscopic possibilities of historical consciousness. The very first book on geometry, by Euclid, in Alexandria 300 BC, begins, 'A point is a locus of no dimensions.' Zero dimensions. It's on a point. It's a locus of no dimensions. And when the locus of no dimensions moves, it describes a line. If you have two points that parenthetically cut the line, now the points are as phenomenally real s the line between those two points. But they have all emerged fresh as lines without end and points with no dimensions. But they're able to transform and stabilise themselves in parenthetical presentations of time and of space and in this way we are able to teach ourselves how to deal with a phenomenal world, and not get lost in it. And that's why wisdom teachers are constantly putting little triggers of conundrums and puzzles and riddles and so forth, so you do not get lost in the forest for the trees, and you remember how to get out and get home. The ancient hunting technique is very simple. No matter where you are, no matter how lost you are, in anything, if you move a little bit around one way and come back and then move exactly nearer to it the other way and come back, and continue that butterfly effect, you will eventually learn the terrain in a way that you have now indexed it originally from before its scratch, from its zeroness. If you take a chaotic movement and run it long enough, fast enough, it will generate a double attractor butterfly effect and you will find the infinity sign, like an ancient hermetic beacon. And you will know that you have now understood that where you are is where you will say you are and it will go by that name.
Let's take a break.