The gauge–gravity stratification sub-programme of the Cosmochrony corpus addresses a single central question: why does the same admissible spectral functional produce Einstein gravity and Yang–Mills gauge dynamics at different spectral orders? The answer replaces the classical question ``what symmetry unifies gravity and gauge? '' with ``at what Seeley–DeWitt order does the admissible projection respond? ''. Starting from the joint spectral entropy functional S_g, A = 12' A₆, ₀, the sub-programme derives: the Yang–Mills equations D_ F^a = 0 from the a₄ vertical variation (Q12) ; the coupled Einstein–Yang–Mills system from the joint variation ₆, ₀S_ = 0 (Q13) ; the a₆ gauge–gravity cross-coupling R_F^F^ (Q13, structural) ; the Eddington–Born–Infeld completion of the joint functional (Q13, conditional on H-ext) ; and the structural hierarchy ratio G₍ gₘ₌² ₒ²/ V (/) ^-1 1 (Q13). The stratification a₂ gravity, a₄ gauge, a₆ mixed is the organising principle; the hierarchy is a structural output, not a fine-tuned coincidence.
Jérôme Beau (Wed,) studied this question.