On Particle Mirrors

On Particle Mirrors


For those who may have followed my colored cube methods I will post the derivation of these patterns in the illustration above. But I have come not to think of it anymore as a recreational math problem but one that apparently scientists relate to particles and forces. I challenge the hobbyist then to find the color matching of the 30cubes from all three space directions (and the right down left diagonal one if it can fit in or show it cannot.

This of course comes from considerations of 6 x 4 = 24, that is thoughts of yesterday's post on the 24 cell 4D polytope. But it can be reduced in the seeming equivalent model of just a sphere with 24 parts, in that symmetry. On result of these partial matrices in which the elements may not align or balance as vectors in all the axial directions with the same number count like it does in the 24 general case (after all I asked if given such 24 might we pair them in patterns different from the four in a particular row) is that we can compare two ways to resolve what seems impossible at lower dimensional structures into an overview. One way concerns the 16 or the 2x8 or cube arrangement of 8 of the 30; the other way concerns the octagon arrangement--- in that case 14 is the significant number. These are in a way sort of dual structures as if a dual of a tessellation.

The whole of 27 breaks down into the points counted of 4 octagons + 1 triangle. As there are 30 I presume the right down left diagonal cube superimposes the six which looks like the Soma Cube. But in normal space representations- and of course all the ideas of mass or gravity seem to be related to the virial principle of Rowlands as inverse squares and such- we can of course see recurrent patterns of shapes of theme in 3 space that involve only the 24 cubes of the 30.

* * *

After just checking other blogs here:

Of course- would not such a particle represented by the three small red squares in the diagram be a structural thing or perhaps a particle at the unity cubed center? Would it not be invariant and a reference for the values of the other variations but not the source of those measures? :-D

Fermion already is used a particle name, in my notation the right down diagonal is the particle EHJ which in the 3x3 color label matrices is oposite to the LHC ! The elementary higgs jaguar is really the elementary sweet nothing highs with jaundice. But everyone wants a piece of the action of this tinkerbellon with names as vast as the rain of fairy dust...

* * *

Well. Lubos is on board too... But if you think about it the "Zprime" (I agree the fifth force ideas that arise are short lived but if the standard theory cannot unify the four others then what difference would another make?) But I must disagree with his conclusions, this would tend to support our blogs of a more topological approach to all of this. Not to say that those involved and feel sure enough to make a refusal or prediction of some idea do not have the great ability to think on these things- I find John Baez and Pitkanens ideas on the octets a very useful way to differentiate the evolving of fields and particles- here in the Pesla cube binary context of things. Are there particles of the same color in in a way are these a statement of relative or contiguous forces (color in my sense)? The superspace is after all related to the notions of multidimensional string theory as our ideas of higher dimensional forces and so on merge into a new physics general theory (and I suggest we look closer into the Ramanujan background of things before we fix on only part of physics and topology as the background.

Learning is not so much about new words or notations, teaching a matter of linguistics that concretely stand as long as we know only or have faith in the show, it is about the translation of our notions... Those that we intelligibly share.

It may be also that the reading vs the visualization habits we inherit determine in general our tendencies to a world view- part of a unified theory will be to integrate these specialized properties of notions in all of us- a steep learning curve for most indeed.

And we are only still sniffing around the symmetries in three space...

So, do we imagine a level of 24ions? Hmmmm.... But the 4D case easily now follows.



* * *
http://www.philosophychatforum.com/viewtopic.php?f=2&p=177367#p177367
Re: "Suspicious bump" at Fermilab CDF
by Lincoln on April 6th, 2011, 2:00 pm 0


This is lincoln not holding his breath and turning blue.

Both CMS and DZero see nothing. CDF is notorious for making lot of noise about something that turned out to be totally uninteresting. Yes, we should double check. But I think it would be a more profitable use of my time to take a nap.

* * *


A note to Ulla for her link http://arxiv.org/abs/q-alg/9609018 sent today (thank you Ulla)

The John Baez paper was interesting (the language is a little hard to follow without post graduate courses but I get the gist of it- still see no stars as such). It appears he is trying to state a problem as to what has to be done rather than just a few hints at what actually is happening in some cases. I like he sees the higher complexity (as well as the simplicity and trying to prove it so in general) of what happens at least up to fourspace. But phase space and Hilbert space, and configuration space, all the most general for now- are not areas to which I see we can dwell and find a final answer. Still, he sees cases where in this complexity there can be topologies in the same sort of description that may have radically different groundings if we are to interpret them as fields or particles- yet it is a reworking of old issues like Weyl, but one worth a new look. His problems in braiding do state where there is a symmetry but we know the crossings are not explicit from existing formulas. While, in the normal sense of dimensions there are no star honeycombs one can ask in the sense these are things that my radiate from some central point or not such as bijets and vectors, rays and so on, that from some general view in the higher freedoms now suspected, can there be what amounts to a greater coherence or communication between these things on that level when we reach those inter-dimensional complexities.

The difficulty in reading I find an average score- not like some totally in a symbolism beyond me, and not like those of which I find transparently over simplified. In any case the notions are the right of all- so I really do not understand too much need for secrecy- not if the idea is to explore and share knowledge. But I will respect it.

I am sure whatever we get from this author will prove most worthwhile.

The PeSla

* * *