Formal coefficients versus numerical measurements

Equation (eq:formalCCR) is a first-order coefficient identity for a declared initial-data bracket. The spectral calculus in Theorem thm:model1 belongs to a numerical polynomial model. No estimate compares it with an exact nonlinear gravitational observable.

The dense-TT kernel estimate concerns a vacuum bilinear. The stress-kernel estimate concerns a scalar quadratic composite. Their transfer variables, ultraviolet estimates, and representations differ. One cannot feed the stress source into the dense-TT Fock factor without defining a new model and proving its constraints and domains.