Friday, June 22, 2012
The Foundations of Particle Physics (Projective Color Iota Dynamics)
The Foundations of Particle Physics
(Projective Color Iota Dynamics)
L. Edgar Otto 22 June, 2012
We say a picture is worth a thousand words, but here I offer you a picture that links to thousands more where those pictures show the path to a more unified view of particle physics and explains general structure with our haunting sense of model errors along the way.
It also raises new possibilities of speculation. The general idea I concieved in 1964 of smaller particle like parts to an electron I called iotas with my so called "Omnium Properties" as if a dynamic dividing by zero. In 1968 I concluded there were 8 of these for an electron which of course was beyond the pale of current thinking and remained a vague and doubtful intuition. Today I encounter the idea again. Among other things it suggests the diagrams I drew can be see as our first level of a particle table. The three colors alternating (and it is the alternations that seem to shift and give us a sense of oscillation) are echoed in the quark as a point like electron of so many iotas.
The duality between a point and an edge of a polyhedron seems to me complimentary to that of a point and a face. We can also expand the spectral ordering or looping in a color wheel by the permutations of a set of colors. The sense of symmetry of where these are balanced constitutes a form of what we tend to suggest is a particle. We immediately find the Fermion and Boson division, and the grounding for exclusion or union of the dynamic sets of so many quarks regardless of our conventions of signs. This duality I imagined as geometry back and forth between a proton and a neutron in a nucleus (rather than just the exchange of a mediator particle in the models of those years).
We also see reasons that things are conserved more or less within a measure as if particle decay. Now others have understood or suggested the pattern of Feynman diagrams to so generalize, but clearly there are at least two ways to do this. One coming from the continuous view and one from the more discrete view. It is a matter of taste as well as ammunition for debate as to what starting point we begin to reach some sort of neutrality and final unification of all the forces of known physics as we now know it. The fundamental view over these plane graph generalizations shows a central view and count- or one from a more flat view as if we see an atom from outside. This is the question of what role such expanded symmetry plays (as complicated as the graphs may seem it is only about the next layer of four space matter and the theory can be vastly expanded in the count even if it is iotas as the points of still higher polytopes that we vaguely confuse or look for as some form of super symmetry) in the idea of holographs and energy conservation of Noether depends on the idea of what sort of centered thing belongs in what sort of natural space dimension. So too a wider understanding of all these views for ideas of coherence intimately tied to thermodynamics.
I use the color notation here for the Otto-Conway matrix of six colors (8 would be four space and so on with conceptual restraints as to what we mean by higher mass structures). Clearly we have a count of wholes and halves to form that essential difference at the lowest super symmetry, the kinetic and potential difference, in the count of the iotas with or without a more complex (Kea like) center. It is not just a matter of 0 or 2 as the count of all orthogonal sub elements as an (Euclidean) grounding law of odd or even numbers or dimensions.
We can have the duality between the octahedron and the cube of the same oddness or evenness but over the "quasic" field we have something akin to the ancient idea of numbers with gender. This will appear naturally as if the logic diagrams of general and Aristotle's validity and implication directions. We can make among other interpretations and hidden assumptions a rule that no two iota octahedra share the same plane or space.
The grey cube iota-plexes in the lower right corner of the illustration in black and white can be said to represent the muons ( the generalization of generations requires a better integration, known, with the standard physics and my quasic plane, something similar to branes, view). The triads of colors ABF represent moreover the faces of an icosahedron an also from some view the 30 edges. These are the quarks. The 30 color combinations of three or 60 with four space inversion symmetries, would suggest various possibilities for a higher structure (albeit a geometric analog) of the symmetries of life space (including DNA coding in all its permutations of a mere generational like color shift). Or I can imagine in higher physical space these may constitute a whole class to add to the particle zoo (Is the inside of a quasar not potentially a place for even higher dimensional matter?).
If nothing else comes of this it is a visual aid to the ideas of combinations and the algebra (here on the lowest level of exploring things orthogonally).
Enjoy. Your central perspective is as intricate as mine and together each and every iota as if a singularity (monad as a physical word would not be bad for this phrase especially as it concerns mirrors and windows) is such a perspective in a fractal manner in a much wider universe.
It is worth noting that in an array of these cubes in a cube of these seven objects as in the jack-stone that the diameter is 5 of them presumably cubed for a centering of three layers but if we say there are two in the center than 8 x 27 = 6x6x6, this requires accounting too of a small part that seems hidden or perhaps a door or window for decay fluidity. Or we can find surpluses, 5! does not equal the 9x9x9 of space but again there is a straightforward measure of numerical excess.
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