QGTCD Constraints Note: Five Countermodel Certificates for Temporal-Opportunity Models of Gravity

Quantum Gradient Time Crystal Dilation (QGTCD) proposes that unequal temporal opportunity can bias otherwise symmetric microscopic transitions and thereby contribute to gravitational behavior. A bounded companion model turns that narrative into positive normalized Markov kernels, proves a smooth-lattice drift-diffusion limit, and constructs a conditional position-velocity calibration [19]. This technical companion note asks a different question: which stronger gravity conclusions do not follow from those premises? It converts five limitations already exposed by the companion's constructive analysis into explicit countermodel certificates and a premise-dependency audit. It does not claim five independent discoveries. Its purpose is neither to promote the formalization as a completed gravity theory nor to dismiss every possible future QGTCD completion. Five certificates delimit the tested model family. First, at least three distinct finite-step kernels share the same leading drift under matched continuum scaling, so the leading differential equation does not identify the microscopic transition rule. Second, the direct position-only interpretation predicts a response proportional to a probe diffusion scale and therefore does not produce universal free fall without an exact compensation. Third, the inertial relation that reproduces Newtonian acceleration does so only after the Newtonian potential, source law, and cancelling universal response coefficient are imposed; it is a conditional identity, not a derivation of gravity. Fourth, additive velocity noise without friction or a specified bath produces secular kinetic heating rather than equilibrium. Fifth, a family of weak-field geometries can share the same leading clock relation while predicting different spatial-curvature effects, and the classical process contains no quantum state structure. Clock agreement therefore does not determine a relativistic or quantum completion. The analysis also yields a useful internal discriminator. Varying independently measured probe diffusivity separates the unrenormalized overdamped implementation from the imposed inertial calibration. Neither outcome alone establishes QGTCD against general relativity, but the test can reject one implementation and prevent incompatible model variants from being treated as one theory. A source-custody audit distinguishes the publication dates declared on five 2024 SVGN articles from the first independently verified Wayback captures. The note concludes with a completion ledger specifying the mathematics and measurements a future QGTCD gravity theory must supply.