Response Hierarchy and Target Identifiability in Organizational Functionals

OFT Paper VI develops a local two-scalar benchmark for determining which measurements identify the response of a first-gradient action. In the quartic model, the Gram combination Δ = Z² − XY leaves homogeneous values, currents, stress and the temporal kinetic Hessian unchanged while modifying the spatial Hessian. Five homogeneous value channels and one calibrated spatial response recover the six model coefficients. The paper also gives a criterion for identifying a specified linear target, propagates bounded channel and model errors to characteristic-cone conditions, and tests a separate non-collinear background. The examples use synthetic data. Physical OFT matching and empirical calibration remain open.