The Standard Model (SM) generation orbit is forced to evolve under Rule~110 — a Turing-complete binary cellular automaton — by the combinatorial arithmetic of the Universal Generative Principle~. We derive the structural and dynamical consequences of this identification beyond the quantitative predictions of the companion papers~. Five results are established. (1) ~The electroweak bosons W^+, Z, H⁰ form a unit-step arithmetic staircase in Generative Triple Evolution branch capacity, c ∈ \11, 12, 13\; each step encodes one absorbed Goldstone degree of freedom via the formula cP = - dP, giving a cellular-automaton grounding of the Higgs mechanism. (2) ~The unique Minimum Description Length (MDL) -minimal orbit-admissible function f_ MDL excludes Z₇ = 4 (the W^-/e^- sector) from its output range; this hard exclusion is arithmetically equivalent to CP violation, making matter dominance a necessary consequence of compression. (3) ~The SM generation orbit is the unique maximal Garden-of-Eden-rooted chain in Z₇⁵, isolated in six independent senses by the complete causal isolation master theorem; the generation count = 3 is topologically forced. (4) ~The photon is the unique uniform fixed point of f_ MDL, identifying it as the cellular-automaton vacuum state, while the Rule~110 ether carries Z₇ winding number~1, placing it in the neutrino sector. (5) ~The 14-neighborhood f_ MDL catalog is an emission interaction kernel complementary to the absorption kernel of the UGP dynamics framework~, establishing a temporal duality between the two derivations of the SM vertex structure. All principal results are machine-certified in Lean~4 with zero ; exceptions are the Casimir anti-enhancement (+6. 3\%, computationally verified) and the SM orbit chirality (14/343 parity-violating triples, computationally verified).
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