SPACETIME STRUCTURE OF QUARKS AND LEPTONS

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Gravity: In the combinatorial array below, rishon fundamentals are considered to be the elements of the combinatorial groups. A given order of groups may constitute a spin network (See Video on right).  Each subset of groups (relations), in the array, identified by a common beginning letter constitutes the volume at a point in the spin network.The order (r=3)  groups identified by a given letter are produced by the lower order (r=2) group, identified by the same letter, with N elements. Note that each subset of groups identified by a common first letter is  patitioned into smaller groups with numbers of elements starting at (J=1) and increasing in counting order to N-1.  The number of unions and elements (S) produced for each N-1 partitions of  the order (r=3) groups will equal [J(J+1)/2]-J. So, For the spin network, equivalent to a set of order r-3 groups, a point or vertex is designated by the letter identifying a subset of partitioned groups. In the spin network graph, each partition of the subset of groups is indicated by a line segment terminating at that point or vertex. The volume, as noted in the video, has a factor equal the squareroot  of J(J+1). This factor, as seen, is associated with the count of relations between rishon fundamentals. In this way, the geometry of spacetime volumes, are seen as comprised by the relations of rishon fundamentals.
Then, as suggested previously, the expressions of relating rishon fundamentals in this spacetime are the foundational elements of  the standard model particles and forces. These foundational elements are the T and V rishon elements as articulated by the phenomenological reasoning on the first page. Relating rishon fundamentals are then the constituents of spacetime and are notable within spacetime as the T and V expressions of that relating. These expressions produce the elements of the standard model, Quarks and Leptons. T's and V's associated with or expressing a given rishon fundamental will not then have dynamic interactions but will only compose the spacetime structure of a quark or lepton. See videos below for more detailed explanation.
 

 
 

 
See Video to the Right
 Let's analyze the graphic representing the rishons' T'Groups TAC and TCA.  These have three colored areas.  The colors (yellow and red) of the bottom cones represent the unique series of expressions or T'elements that each relating rishon exhibits as an object. The colors (purple and green) on the left side of the semi-circles represent the eliminations of uniqueness by the V'elements (the binding energy). This dynamic of the elimination of uniqueness or differentiation of rishon expressions is necessary to conserve the fundamental status of rishons as wholely unique. The colors (red and yellow) on the right side of the semi-circle represent the observable relatedness of rishons one to an other rishon. The expressions of relating rishons must combinatorically sum to zero else the existence of rishons as wholely unique is contradicted by the rishons' appearances.
Likewise the graphic representing the rishons' V'Groups VAC    and  VCA are similarly organized. Note that the expressions' and eliminations' colors of the rishons' V'Groups (purple and green ) are the opposite of the rishons' T'Groups. Since the wholely unique rishon comprises its T and V elements, the features of of the appearing elements sum to zero.
As suggested before, The expressions of relating rishons must combinatorically sum to zero else the existence of rishons as wholely unique is contradicted by the rishons' appearances. Therefore these appearances can only express partnered with negations, and thereby the set of rishon elements sums to zero. So the rishon groups AC (yellow cone) and CA (red cone) are partnered with the rishon anti-groups AC (purple cone) and CA  (green cone). The electromagnetic force then may arise from this necessary negation of rishon elements expressing relatedness of rishons one to an other rishon.
See Video to the Right
Every rishon, as an observable or object, comprises a series of order two expressions, the T and V elements of relating rishons. Time-space arises with rishon expressions. In other words, one rishon relates to the expressions of another rishon as the  rishon existing in time-space. The observations of expressions may be likened to turning an object in one's hands to reveal its hidden dimensions. The 3d graphics, to the left, organizes the series of  expressions composing the generic electron and generic neutrino, generic u-quark and generic d-quark.

 

  
 
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