Tuesday, January 4, 2011

On Kea's Observation

On Kea's Observation

We have to imgine the algebras of representation embedded into natural and intuitive foundations of dimensionality.

The difference in this numbers may involve adjustments to geodesic structures which globally involve 10 and the "frequency" in Fullers geometrical ideas. That or a great such hyperdimensionality of field principles between the transcendental and the integers.

As we see in the illustration, Imagine an analog to Pascal's triangle in four space (here stretched out (Pas4 to five levels) as if we are going deep into the four space like it is an onion- or we can go level by level to the last level with our two space triangles. The sums of such levels have numbers which occur time again as I have seen in discussion of the particle physics.

Now this fourth level has 256 nodes or units with the coeffients numbers. Clearly the lowest layer of that level has 81 parts as part of a spherical top, in this case a tetrahedron. Thus it is one fourth the area of a sphere, roughly, that is one fourth of 4pi or it = pi! roughly.

In a more general speculation we can think of the spherical top as 4x81 in a sense pi=81 abstractly as it seemed to equal 256 in previous postings. In which case it is 60 nodes short of 256 - again the ten foldedness coincidently to such algebras.

Or 512 desgrees - 324 is the number 128 and 64 x 3 is 192.

Now, 256 - 175 = 81 so that number (35 basis says Rowlands is 175...)

Of course the virial duality is involved if for example we want to make sense in the physics where it is used where 1/8xpi comes up (ie 2 x 4pi/64)

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It is not a hard matter to extend these analogs and draw them as layers of four space into five space. These are suggestive of many interesting properties as to how sequences of numbers from the structures may relate a little differntly in higher spaces.

The Kea observation for example has global intuitions on the surface and volume ideas of information between dimensions as if something of the holographic principle is happening here.

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What have we really done in the exploration beyond Coxeter, perhaps, when there are five Euclidean honeycombs each of which is successively dual- I mean is this a numerological wish or a lack of general understanding when we say Ahhh 5, like the five string theories or the five membranes in perhaps something like U(5) as a final theory (suggests Rowlands).

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I begin to see the "brading" as but a notation that really tries to describe symmetry breaking as one can braid counting with the Fibonacci numbers.

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Arcadian Pseudofunctor

I am not sure my comment pointing out this post made it to that sight with this slow public computer and I hope she is entertained or even inspired as well by it. I was bored and walked back to the coffee shop in very cold weather to post it right away!

happy new year to all of you too.


  1. Cool!

    ... has global intuitions on the surface and volume ideas of information between dimensions as if something of the holographic principle is happening here.

    Holographic ideas are important in the physics that I have in mind, but I don't think of holography as being due to a classical boundary. Remember that the numbers on the nodes count noncommutative paths, so we are going to build up classical spaces from new ideas about geometry.

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  3. Kea,

    Oops posted reply to another commenter on previous post...

    You understand! Even in this comment you say volumes!