Tuesday, April 5, 2011

Quasiplex ( Whisper Matrices)



Quasiplex (Jaguars in the Whisper Matrices)

I ran out of words without disambiguation for the topological structures I am going to describe here (or perhaps not in detail as it has been covered and the arithmetic and geometry can be found most anywhere.) This morning I settled more on the term quasiplex rather than something like superspace or hypermatrix and so on.

So I did what someone did to find the word quark- I reached for a random book and opened the page and found this:

"S-s-s-sh! whispered Ken.

All the sounds ceased. The jungle seemed to sleep in deep silence. Ken's eyes were glued to the light path of sand-bank where it merged in the dark of the runway, then Ken heard a sound- what, he could not have told. But made his heart beat fast.

Then came a few pattering thuds, soft as velvet; and a shadow, paler than the dark background, moved out of the runway.

With that a huge jaguar loped into the open. He did not look around. He took a long, easy bound down to the water and began to lap."

Ken Ward in the Jungle Zane Grey 1912



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Now, these elements of the quasiplex to distinguish them a little from all the variations on methods and terminology I shall designate in the large cat family. Let others decide what of these are physical particles of forces so as to interpret the model for what is dynamically happening in say the reading of the gene code.

After all, Tyger, tyger burning bright... immortal hand or eye... fearful symmetry and all that... Tigers with rather sting like stripes or Jaguars with spots, and more so with spots inside the spots... But some of the earliest goddesses wore such cloaks which were dotted with the stars.

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Now, we could consider more than four objects in depth, in any case such spaces relate as much to that excluded by count as to what cats they so cradle.

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Of course it is obvious that the symmetries of such particles and rays rather fit well with say the structures of a ball of 24 sections in the groupings of 4 or 6. It is the same map, quasic plane or ball, finite or infinite.

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I wonder if there are 12 particles to consider as in Kea's quark and lepton braids if there could be in the sense of these graphs three more for the 15 of some sort? That is the HEJ in the illustration (again the signs of things have to be taken into account by one algebra or the other) The ideal solution of matching and orienting the color cubes in a Conway (and familiar space) matrix I now see why it was such a difficult problem.

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http://arxiv.org/PS_cache/arxiv/pdf/1103/1103.6058v1.pdf well, only one of the computers in the coffeeshop could not read the PDF so I just saw it (From a link on Gibbs page thru Kea's page. I am not sure what I expected but despite the differnet symbolism the values here and the notions fit rather well with my quasic notation.

And of course http://blog.vixra.org/2011/02/28/the-24-cell-and-4-qubits/ itself is highly relevant to the quasiplex scheme of such an array of hyperstructures- note that these interrelate across so many dimensions- 24 is rather versatile.

and thanks also for this link to John Baez: http://math.ucr.edu/home/baez/numbers/24.pdf "it amounts to 6 x 4 = 24..." not that is insightful arithmetic!

That said, I have always favored 32, a rather 5th dimensional case, at least I think it is biologically important.

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A Technical Point: The quasic grid is one of logic in that we consider the 24 valid syllogisms--- So the question arises, as a higher such grid as if an exact analog if one could see it and it exists (apparently harder to intuit than the Leech Lattice! Of which I just read) as to which are valid in some way on the next level of the quasiplex. We may ask what is the meaning or equivalent of the Conway-Otto matrix when we expand to the next level of core 256 quasic regions? Here we do indeed discuss various alternatives for computing the numbers involved- what sums to a number for example, 10+6 = 16 and so on. Would there be a square in the 16 x 16 case of ten by ten with a higher dimensional array around it of two rows? What when we make a three space representation of this 10^3 ?

Of course there is a sign problem without a more general view of how these numbers multiply and interconnect or say twist if we try to apply it to nuclear spaces on this level of things.

Now we could continue in multiples of 4 to five levels but with only four distinct objects that gives us the possibility of x4 choices in the same quasic square region.
This could indeed be a useful idea for some local choices say in cell differentiation.

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Carbon this link from Ulla is interesting but more like chemistry outside my areas of interest- I have a hard time with the term but not the spirit of the concept of "negentropy" which sounds to me like the initial ideas from a bygone era of general systems theory which I did find most impressive at the time. http://radobozovhealth.com/?p=175 but there are some important creative approaches and directions here. After all, in the beautiful four way symmetry of hemoglobin and iron in the symmetry of CO and oxygen what determines the difference (strength of bonds? Some sort of topology overriding the quantum ideas in it all?)

What good btw is basing things on p-adic if these sorts of computations are not exactly reversible as to what equations may be found? That is as a general theory? Something more seems needed as we who have adapted to toxicity of oxygen look beyond our current circumstances of nature's laws.

Michael Rios in U-duality has a most excellent article on http://uduality.blogspot.com/2011/04/qm-over-split-composition-algebras.html

I am sure these are part of a more general picture of how we put various matrices together in this quasiplex space of which I visualize it a little more general than just the string like theories.

I put this illustration up also because the Kandium star can have a central depth as another variation on what twists and turns we may encounter to generalize space further. This rather free of scale space, regardless of the weights of particles which do seem to have binary measures mainly, does not in my eyes seem to have any great problems of vast differences in the scale of forces.

The forces from the steeps encounter the set face and wisdom of Confucius while the I Ching is standardized consulted with his dog eared text- until the first choices and wisdom of the gods are legend only or lost known only to them we discover again.

Does a journey end in but the first few steps? That journey in retrospect seems so long as if a long distance yet to go. Can we meet our self again? Do all roads vanish when each well known path carries with it the burden of a thousand memories and should we not allow the wise little ones not their time of first love and learning? Do I want the next needed answer I can almost see or smell, or do I want to walk that endless walk where I childlike behold all things new?

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