González Metric Limit Mechanics II: Informational Weight Tensor, Projected Sectors and González Flow

González Metric Limit Mechanics II (GMLM-II) develops the metric, projection and dynamical layers of the GMLM framework. Where GMLM-I introduced informational closure, primitive four-closures and configurational primes in finite doubly-even Adinkra topologies, GMLM-II studies how a closed informational support induces a metric structure, a gradient flow and an observable projection channel. The paper introduces the Informational Weight Tensor, TPI, as the tensorial object that encodes local informational weights derived from dispersion, coherence and multiscale organization. The associated González metric is written as gG = g + TPI. The reciprocal dispersive potential is Jdisp = S/(CF), and the González Flow is defined as the gradient descent of this potential with respect to the González metric. GMLM-II also formalizes the projected/non-projected sector decomposition, in which an observational channel selects a projected component while leaving a non-projected structural component relative to that channel. AAD, Acoplamiento Armónico Dimensional / Dimensional Harmonic Coupling, is presented as a dimensional activation and weighting mechanism compatible with the SCF metric-flow structure. The paper is intended as the continuation of GMLM-I: GMLM-I answers when a discrete structure closes; GMLM-II studies how a closed structure weighs, flows and projects.GMLM-II continues the metric and projection line introduced in "A Scalar Weighted Metric and Gradient Flow Structure on Riemannian Manifolds" (doi.org/10.5281/zenodo.17743659) and its spectral annex, while following GMLM-I as the second paper of the González Metric Limit Mechanics series.