The Polynomial Certificate of Transputation: MDL Unification, Quantum Measurement, and the SRRG Fixed Point

The GTE polynomial p(L,C,R) = C+R-CR-LCR over GF(7), the unique Minimum Description Length (MDL)-minimal encoding of the Standard Model generation structure, carries a complete formal certificate of the quantum measurement mechanism. Its Perfect Self-Containment (PSC) projection is f_MDL, the discrete adjudicator that defines the measurement orbit GEN_1 -> GEN_2 -> GEN_3 -> VAC — the only PSC-consistent trajectory in the cellular automaton dynamics — and this projection is characterized in three parts: f_MDL agrees with p on the binary sector {0,1}^3 (Rule 110), overrides p on the ten SM-orbit neighborhoods to enforce generation-orbit consistency, and projects to zero on all remaining 325 neighborhoods. The polynomial's real diagonal encodes the Self-Referential Renormalization Group (SRRG) adjudication fixed point phi = (sqrt(5)-1)/2 ≈ 0.618 (machine-certified, Lean 4). A Three-Level MDL Unification Theorem shows that P_top(X) = argmin_{x in X} K(x | PSC) operates at three nested, non-circular domains: theory selection (p from rule space), field dynamics (Phi_MDL via the PMDL variational principle), and quantum event adjudication (Born rule via transputation). The polynomial p is the connecting object: it is the output of Level 1, enters the PMDL action at Level 2, and its PSC-projection f_MDL defines the orbit used at Level 3. Differential Self-Adjudicative Computation (DSAC) is positioned as the continuum member of the [D] adjudicator class, bridging the discrete f_MDL projection and the non-computable transputation selector P_top_D.