Ulla's Theorem

Ulla's Theorem

I think I finally read between the lines on what Ulla means in relation to carbon. But I recall a MENSA lady who said once that we can come up with any mathematical system that would seem to explain everything. So, this post should be read as very speculative philosophy of sorts, even a work of science fiction. For I write creatively and without consulting the lady I name this general idea and theorem for (after all who would name new theories after themselves, it would get too messy- and other than PeSla's cube and Odo-1024 4D chess I christen discoveries with my name rarely.

But this is a creative post. In two of the most fundamental senses of science in awakening since the Greeks, that we look, what Ulla will call "perpendicularity" at what may be hidden so as to be revealed. Thus, at ground my philosophy of mathematics walks a tightrope between all is to be discovered and all is there only if it is invented. My last post in my own eyes bordered on the very formal and technical- if that can be considered creative in the sense that an artist may give something of his own style to the work and directions taken.

So, in the middle of all our confusing terminology- very basic notions and words in which their use has subtly changed or become surpassed- quantum for example or even the use of powerful tools like Frouier analysis or the best varieity of our descriptions of general space, Hilbert, Phase, configuration and so on. This is not to say these do not have their uses beyond the historical record. But a universe like our notions does not have to replicate ultimately even as experiments in discovery to evolve anymore than our exponential learning climb to specialized discipilines. We creatively assume there is some sort of converging logic to it all and yet the possibility of new degrees of the freedom of imagination.

So, with these two aspects of creativity and hope there is some sanity and order to experience and find in the universe of enquiry, what the heck devil-may-care I say the particle I invented or discovered (after all I can only deal with my perceptions here in the random encounters of this blogosphere be they right or wrong or in this case a short story of sorts). Let us say there is a sort of new particle that moreover can be explained by the new physics (after all Ulla has followed the Arcadian view for a long time now and is fairly well conversant in TGD- these inspire her as she kindly said my posts do to- well, she inspired this and if she wants I could remove anything at her bidding.) She has a way of homing in on some very profound questions if we can understand her- on some side of a mirror would a particle be anti-matter? or our notions of dark matter? and so on.

Newscientist.com today had a small article on a simple explanation for the pioneer anomality- the difference in how the satelites radiated heat. It ends by saying that this does not account for all of the explanation that other exotic hypothesis like variation in light velocity or modified gravity or black holes and so on. But then when we converge to an intelligible theory we can expect that it can be views through many lens, to explain the creation of the planets by just the accumulation of primordial dust works- quantum formulism works- but only as good as the discovered theory is close to what we have found, a sort of sensible truth tested in all the ways we can including what we think about it.

But as some here and a string friend years ago stating the problems at the end of his thesis, two of which were speculation on the sporadic groups E8 and the need to find what sort of symmetry is involved in thermodynamics- these issues have come up and certainly thermodynamics has been recently considered to expand the general mix of things in the new physics. We also find we become aware of some general questions of which they do not quite supply the answer in the asking, but is progress. Chirality has not really been integrated over the idea of generations, especially if we use the string terminology of partitions and flavor.

So, the EHJ particle, in the center of a more topological and arithmetical system of particles, the so called Z-prime I assert is the same thing. And while I am at it let us at least temporarily adopt a fifth force in its being or relation to physical being, shearessence [I revise this word posted to ones closer in English rather than the Persian idea of 5 and lions and sheare forces too vague- I will stay with the cat theme and call it Lionessence] perhaps. This force is perhaps just one of a series of them where we slice the orthogons in a series of differences of cubes, the Fano plane and other such issues (as Baez pointed out) are also issues of projective planes. If this goes further we have to deal with ideas I will call supermagic squares.

This difference in cubes, by the way, we can take as positive values of the golden section- after all 1-k= k^2 where k is the inverse ph and sign, including imaginary numbers could be just something to make our algebra more short winded and easier. We expect in this so called bosonic formulation that 27 -19 = 8 and that 8 part of a larger cross section of the orthogon.

What Ulla was trying to show, and I feel in terms of the new physics, was the concern for Carbon as unique for the formation of biological processes- she is asking a good question as to where the energy of it all arises.

Ulla's Theorem: The carbon ring oscillates (which grounds the idea of such quantum levels of explanation) in a way it relates to the new physics by the ideas of topological spaces and braids. Structurally it is the carrier of such processes we seek to explain as force that also interacts with its field of structures.

You see, I asked myself a simple question from the old 4 x 6 = 24. Can I take a 24 faced regular polyhedron and color it coherently with six as well as four colors? This question also is the faces of the tesseract divided into for parts for 96 1x1x2^1/2 triangles. Since this object is four dimensional it shuould not be a surprise that we chave 12 that translate as lines or axes, and 12 that make three rings around it from a given cube center of the hypercube. The simple vision of the benzene ring comes up from an idea of doubly neutral current oscillation.

We note that the center of these six is at least a cube of unity (take note of this you number theorists when you read in general no two cubes add to a third cube and read it literally as cube and not n^3 - for a literal cube is not as simple as we think).

There is a sort of transitive law of how the oscillations flow as if the zeroth thermodynamic law on a higher but not this deeper notation of dice. E becomes J becomes H or E becomes H becomes J...

In the above illustration I show how I derived this from the six color matching cubes that have to pass thru EHJ in a center. The details can vary a little but I always wondered at the similiar results when I made sets of bicolored 6 color cubes. The significant one in the illustration seems to be as if I tried to match the 4 colors of the six on a cube such that 6 between them describle the faces of the lowly tetrahedron.

Perhaps as sci-fi this is not as dramatic as the Big Bang, but we do not that once certain processes occur it is very hard to stop them no matter what our theory of the time says about it.

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