The GTE Polynomial: A Step-by-Step Cheat Sheet — From Cellular Automata to the Standard Model

A concise reference tutorial on the GTE (Generative Triple Evolution) polynomial p(L,C,R) = C + R - CR - LCR mod 7 and the complete derivation chain from this single arithmetic rule to the Standard Model of particle physics. The polynomial is a cellular automaton rule that updates a cell's state from its two neighbors and its own current state, with arithmetic done modulo 7. This cheat sheet walks through all the major steps in compact form: MDL selection of p from the full rule space, the master quadratic and its two completions, the three-tape CMCA construction of 3+1D spacetime, derivation of gauge groups and quantum numbers, the GTE cascade for particle masses, and the machine-certified Lean 4 theorems that underpin each step. Suitable as a quick reference for readers already familiar with the UGP Physics series.