The Standard Model Architecture and Interactions Part 2
© 2011 Claude Michael Cassano
The Fermion Interaction:
An interaction with entry ingredients A,B and exit ingredients C,D is denoted as you see, here:
A+B → C+D
which implies it's anti-equivalent.
A fermion interaction is an interaction between first and second order objects, i.e.: between solitary S sub R matrices.
The initial step in a fermion interaction proceess is fusion of two solitary S sub R matrices, enrty-wise, into a single S sub R matrix.
Next, the S sub R matrix entries may flip between columns/generations with equal likelihood. The S sub R matrix entries may flip between rows/colors. Entries in the same column may flipas shown, here; or not with equal likelihood.
These are the only random flip events conserving charge, so are the only ones allowed. Conservation of row/color indices, as detailed in the book, also restricts the possible flip events.
Finally, the S sub R matrix separates into the two solitary matrices column resultants from the flip events occurring during the fusion.
The first order objects (leptons) fermion-interactions oc
cur as is shown, here.
The neutrino - anti-electron interaction is shown, here, first; in complete detail.
The electron - anti-electron interaction is shown, here, second; in complete detail.
The neutrino - anti-neutrino interaction is shown, here, third; in complete detail.
This is how the second order objects (quarks) are/were created from the most fundamental first order objects (leptons).
Weak type interactions may be further classified according to whether they are of the form (1), or of the form of (2)/(3).
Interactions of the form (1) are of the W type.
Interactions of the form (2) or (3) are of the Z type.
It will be seen that all the interactions to follow fall into these catagories.
The second order objects (quarks) fermion-interactions are far more computationally long and intensive, but all the fermion-interactions may be summarized, as follows:
No interaction has deterministic exit ingredients, but every interaction has a deterministic family of exit ingredients with probability outcome.
All the interactions allow change of generation.
The interactions are summarized, here.
For the complete details of each interaction, refer to my book
"a Mathematical Preon Foundation for the Standard Model"
Thus, the above simple mathematical construction has just been clearly and concisely shown to define, analyze, and determine a foundation for the standard model with a simple interaction process consistent with experiment.
That it is also completely, rigorously, exhaustively and irrefutably shown to define, analyze, and determine a foundation for the standard model with a simple interaction process consistent with experiment may be seen in my book, "a Mathematical Preon Foundation for the Standard Model", available on Kindle through amazon.com.
Find links to all my books at the site listed at the bottom, here: