Tuesday, January 17, 2012
On the Koide-Chrome Spectrum
On the Koide-Chrome Spectrum L. Edgar Otto July 17, 2012
So far my use of color in notations has not really been some problem of an extended spectrum even when these are ordered along those lines- but more like color wheels. So today I offer two "quasic grid" views of what happens when we shift the spectrum over various levels of the natural dimensions of abstract motions. As complicated as these diagrams appear it is only one such case within the three and four dimensions that involves the shifting of the point elements, other subcells and things like curves can be seen if the graphs are developed.
In my haste my notation may be seen to contain errors at the remote ends of the binominal expansion of these abstract motions. Note, the shift sign is from music, the C cleft. But that is where the subjective or intuitive issue is distracting, for we go beyond the simple idea of extending (as Newton did) Pascal's triangle to negative values to absolute zeros of rest for functions in the general space and more so the null polytope- that is conventionally Pi sub minus one in notation but it means that part of an expansion of a simplex that is the Null value (we can extend this to plus or minus 2 or 2pi for the usual reasons.) The effect is to have this concept apply to the orthogons which as powers seem to fill only positive space. Thus the simplex pattern generalized fills space with the simplex patterns which is a logical pattern and the basis of much context for patterns equal or greater than 4 for physics and even that intuited and embellished by the sister to numerology- that is sacred geometry.
Lubos does state in the ever adding to modify errors (as if the idea of a four perturbations I imagine as permutations of which he too sees as an advancement in physics does not evoke the divisions by 24) - I note also that post today by Pitkanen and Leo Vulk address this issue from some viewpoint on knots themselves) where Lubos points out that it amounts to we do not know the mass of the tau quark which is the issue at hand is it not? How can he use a hamburger as an example and not first reduce it to a perfect sphere where some theory would find the right poles in the Majorana phase shifts of information on some? But more importantly, did Euler not sum certain positive series to negative values of 1/3 in a way not understood and thought an error?
If 3/3 is seen as trivial over space (and in relation to Pitkanen with his comments today with hammed I did choose to show the first example and the numerology on the surface of 4 space motions in three space- that and I had the graph paper conveniently just printed out for other things.) It is clear that the symmetries involved in a 4 by 4 hypercube in this more integrated koidechrome space of so many cubes does not matter in which space direction we read the quasic ordering even if we do not have the first pixel (in cyan) at 0000 in which to compare them. More over of a physical constructable of 4 space into 3 space we again triple the possibilities at least or double those to achieve the 24 cell group numbers upon the division of the 1152 group of cells. The physicality of a complete description without the centered or the reference transitive identity local zero coordinate is for this reason that in a higher dimensional system the existence of these definite patterns can be physically tentative over some further approximations to time and probabilities after all.
Now, might this not relate to what some call the UV or IR problem in current theory or UV catastrophes in general? But in no case am I trying to challenge anyone's theories here, just trying to make things a little more clear. It is where we share ideas that intersect that can raise some confusions more than what is unknown and I find our bloggers at work very hard in the beautiful realms of math of physics.
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