Monday, November 7, 2011
III The Triality - Intuition, Information, Intelligibility
III The Triality (My Two Themes Today, one not posted yesterday as I regarded it too vague and speculative but it led to some wider space structures. I encountered the issue in a reply concerning fine structure constants but it is about the idea of numbers and quantum theory in general as per Matti's post today. As I posted first to Matti I include the comment here so as not to duplicate much in what I was planning to type on Numbers. Also I will include some of my rather raw notes to show the triviality, numerology, and deep patterns of numbers.
http://matpitka.blogspot.com/2011/11/could-value-of-fine-structure-vary-in.html
Matti,
Thank you for the in depth reply.
Our interest in arithmetic, the nature of numbers and the role of primes in particular seems to me to have deep connection between your framework, Kea's approach, and my ideas on space and structures.
So, without discussion outside the blogs I name us the Triality. I did not post as the idea yesterday was a little speculative even for me, but next day some powerful new ideas on space and information came out I think worthwhile or promising.
By quantum it seems you ask the philosophic and mathematical question- one that is really the seeming unreasonable fact that numbers as well as other mathematics seem to describe our reality. It is almost as if I can understand why the ancients thought so highly of integers as to suggest a separate reality of their own.
But numbers are a little vague- in a sense a class, a quantum uncertainty as well as concrete fact. What I am still further amazed by a simple arrangement in a plane- that in the primes and in higher spaces and generations, that we can find the same numerical patterns hidden in the primes and and composite numbers.
I see Kea's system as containing the first 31 primes in 2^7 space, and yours I get in reading involves the 2^9 space.
It is interesting that both systems involve 8n as in octonions, and beyond. Do we imagine this relating to consciousness? Perhaps if we can extend the interpretations that way which as vague structure sounds well grounded in intuition(ism)- but until we go beyond the quantum uncertainty as an overriding concept we can say little for sure of our ideas of (super-)symmetries. We could for example speculate as Leo, that the neutral or non-existent Higgs is a particle of creation beyond the scope of standard theory. Or we are talking about nothing indeed.
If God made the Integers and all else is the work of man- it is deep within us, our number theory and even our numerology answering things too soon- that we might think of an idea like Higgs as a God particle metaphorically at least. Or perhaps the higher coherence of being or the universe in relation to this surprising pattern in higher dimensions, generations, and symmetry.
ThePeSla
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From my view, what I assumed was a simple combinatorial problem when I first tried to color cubes and jacks with six colors to arrange them in a soma cube, I regard the four cubes that combine to make the pieces (24 cubes) as composed of 30 combinations of roygbv. But there are only 27 cubes in the 3x3x3 space. So the six of them of the whole system (now dawning on us to interpret as standard particles) and the 7th three cube piece amounts to neutral or gray particles. If we extend the soma idea into other cuboids (I find it remarkable that these four cubes presumably tetrahedra unfolded have 8 forms that fit into 4x4x2 space). But to have one axis stand out in three space the combinations make 45 possibilities. One also can extend the cube to contain this number. Note that with the compliments the numbers as arranged by Kea and as prime numbers under the 7th quasic dimensional space these add up to 30 or 31 times 2 or 60 or even 120 of the higher symmetric 5 fold cell units.
The simple problem is to consider three things in its 3 base notation as if in relation to 4 things in that notation. Then to find the mirrors of three of the colors BDK GIN for what is inside our outside of the directionality of code reading.
By consideration of such patterns and symmetries we see in the duplication of the first 30 or 31 (depending on the unit cell as one or zero in the counting) and he considerations of the 6colors as neutral in the soma cube, we see Kea's numbers of triality in all the 9's, for example 54 when things are seen as positive or real rather than mirrors. Let us not ask questions to reply like "why not a difference in
velocities of photons and neutrinos in the gravitation field" without offering a more focused explanation instead of an evasion and useless critique of new and creative theory. While numbers per se do not have to be prime to be intelligible it is still amazing they fit into matrices and work.
Just as the shadows or mirrors of physical things in the bacteria handle stress by turning the genes on and off in oscillation- to leave them on as some who cling to some extreme of a theory is to loop into a cycle of stress that defeats the system.
I would expect in higher generations there can be say 10 neutral particles and so on.
The quantum like vagueness or uncertainty of numbers reflects also that uncertainty of our intuitive processes and interpretation of the reality as structure and number. This I have called the Omnomic idea of from a vague intuition the crystallization to some more concrete and scientific idea. This is why my post and scribbles were messy but it led to further ideas- these of the clear informational or binary nature.
Essentially, with the perambulation and Perturbations, thru as if lost in Intuitive Space - always the tightrope of theory - I realized that to get the coherence of compliments (multiplicative inverses of some vague field symmetry) one had to read the binary codes in 2^n multiples of binary codes. That principle that in structure is the condensing from 8D to 4D for example.
This leads to a whole new area of inter-dimensional, inter-generational information space- which looking down from it I find it equal to the task of modeling the complexity of living things in that sort of encoding.
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Kea says:
November 6, 2011 at 9:51 pm
Ervin, my work has been discussing such a symmetry for some years now. You might consider doing a better literature search before you post preprints.
Gentlemen,
Why is particle physics in such a mess? Kea is on the right track and has been for some time. From my point of view at least in the bloggers world I am honored to cite her - for that is usually a measure of the influence of a theory and its creator.
We should be aware of incomplete solutions in R3 still and other problems which she carefully strives to address.
This goes beyond what things may be described outside the light cone- and some of you alternative theorists have come very close- our intuitions and reality have always been a tightrope and narrow the gate to reach higher science.
Catlin's constant - btw poster number26 is making more sense to me in some areas now that I understand things better. Kea's views with a more general idea of space symmetries shows remarkable coherence and unity in our sums of numbers all the complicated formulas tend to work around.
The PeSla
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http://www.sciencedaily.com/releases/2011/11/111105153311.htm
The accompanying illustration in this link at first glance has me ask what happens if there is a sort of fractional symmetry effect or breaking- false vacuum like as in the usual description of ground states of stability. Relevant, no? and apparently something researched for quite awhile. But this is news for a theoretical framework, do they give Nobel Prizes for that? Perhaps we do need such a prize for the sake of math or theory alone- the creative prize, at least in how close the theory met the experimental results or led the way to it.
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Where Triality numbers come up so much... 9 18 27 54 and so on... one can imagine 9x9x9x9... that and duality 2 then 6 ? 42 (things get a little more complicated) consider then 2/9's as related patterns involving these numbers of a cube of 24, 26, 27 etc in higher symmetric n-spaces. The central prime being around 47 and 8fold compliment 81 (that is 9x9x9) of the 3 x 3 x 3 cube. It is clear that such structures as matrices are intelligible- and it is also a mental achievement to imagine such other space that does not meet the mind's eye readily. The link to other more continuous numbers, such as pi/12 transcendental, may perhaps is in the reading of the phi irrational encoding as in Ramanujan, (where information is useful outside the remote extremes for the physical) or strange results like with Euler's sum that seems to give a crazy result of 1/3. Great minds dare and focus on such intuitions and advance us all eventually.
* * * * *
Lubos weighs in on global gauge symmetries, shows the string theory inadequacy, and predicts as reasonable this probably extends higher anyway- based on vague ideas of information into black holes that "forget" so to speak. I must say that I did find the idea between two characters on the Big Bang comedy- the stringy and loopy positions explained to Leonard by his roommate for the sake of love or loyality- that the issue was that of eventually explaining the phenomenon of color... something I missed directly in Lubos's posts but explored as "spectrality." Now it seems to me the creative states as with such concepts of black holes would have to involve (not just the discrete case) a certain interconnectedness of such ideas of gauges like in the inter-generational inter-dimensional yet not non-linear intelligible symmetry theories.
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http://motls.blogspot.com/2011/11/global-symmetry-in-string-theory.html?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed%3A+LuboMotlsReferenceFrame+%28Lubos+Motl%27s+reference+frame%29
Lubos weighs in on global gauge symmetries, shows the string theory inadequacy, and predicts as reasonable this probably extends higher anyway- based on vague ideas of information into black holes that "forget" so to speak. I must say that I did find the idea between two characters on the Big Bang comedy- the stringy and loopy positions explained to Leonard by his roommate for the sake of love or loyality- that the issue was that of eventually explaining the phenomenon of color... something I missed directly in Lubos's posts but explored as "spectrality." Now it seems to me the creative states as with such concepts of black holes would have to involve (not just the discrete case) a certain interconnectedness of such ideas of gauges like in the inter-generational inter-dimensional yet not non-linear intelligible symmetry theories.
http://motls.blogspot.com/2011/11/global-symmetry-in-string-theory.html?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed%3A+LuboMotlsReferenceFrame+%28Lubos+Motl%27s+reference+frame%29
Can we prove it not so in string theory? I am Pe Sla, Old Baldy, but I don't think I am "hairless" in that area- the stress of theories comes and goes or finds a balance again far from equilibrium or loops to infinite paradoxes of unresolved and crushing vagueness- until the next resetting of the stem cells. But as with the endgame, biding time outs, (my team 8-0 midway thru the football season BTW) if you still defend your ideas you may steal a last minute victory- or walk as in baseball, well, how likely is that? :-)
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POSSIBLE READERS - THESE LAST FEW POSTS WERE QUITE CREATIVE STRETCHES- BUT THE BLOG AT LEAST VISUALLY IS RUNNING OUT OF SPACE AGAIN. I AM NOT SURE THERE IS MUCH MORE POINT IN THE REACH OF THE THEORY- NOT SO SOME APPLICATIONS SUCH AS PROGRAMMING FOR MUSIC MATTERS. SO I WILL TRY AGAIN TO SLOW THE BLOG DOWN AND CHECK IN SO OFTEN TO CONCENTRATE ON PERSONAL ECONOMICS. FEEL FREE TO E-MAIL OR VISIT ON FACEBOOK IF THERE ARE ANY QUESTIONS OR DIALOG.
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