A Measurable Geometric Depletion Program at the Dissipation Scale for 3D Navier-Stokes

This version expands the analytical framework of the previous F/C ratio protocol. It introduces a formal program toward conditional regularity for the 3D incompressible Navier-Stokes equations by defining a measurable geometric signature at the dissipation scale η(t). The draft integrates 1D sparseness hypotheses with majority-direction coherence parameters to define an effective sparseness δeff(t) and a depletion margin Φ(t). It connects these observables to a local-BMO endpoint continuation route and provides an implementable diagnostic algorithm for DNS validation. This is an expanded and more analytical version of the initial framework (formerly DOI: 10.5281/zenodo.18263794). It shifts the focus from a global ratio to a localized geometric depletion program at the dissipation scale.