SS-PIVOT: From Scale Geometry to Gravitational Dynamics: What the Configuration Manifold Determines—and What It Does Not

Promoting physical logarithmic scale to a coordinate produces a well-defined Riemannian Scale Space configuration manifold. The companion geometry paper derives its normalized hyperbolic metric, invariant measure, scalar Green function and finite-profile projection theorem. Those results are substantial, but they do not uniquely select a gravitational action, propagating field representation, universal matter coupling or experimental readout. This paper makes that logical boundary explicit and records the resulting architectural pivot. The central distinction is between three layers: configuration geometry, dynamical representation and source/readout law. The scalar Green function on the configuration manifold has a reciprocal local 1/d² singularity. Projection through overlapping finite scale profiles yields a leading 1/R term in the near-zone limit, while the same schematic kernel has a 1/R² far-zone limit for finite-width normalized profiles. The near-zone coefficient is nevertheless profile- and prescription-dependent; the projection theorem alone therefore cannot establish body-independent gravity. Independently, treating complete-H⁴ isotropy as the symmetry of the low-energy graviton produces an unacceptable physical polarization sector. The successor programme consequently retains the H⁴ geometry as kinematic infrastructure while placing gravitational propagation in a leafwise theory. Within the present controlled low-energy finite-regulator effective theory, one protected two-polarization tensor zero mode supplies the universal long-range channel, while gapped scale-fibre modes retain profile-sensitive information. This separation preserves the verified geometric results, withdraws the earlier claim that they automatically produce universal gravity, and assigns the remaining tasks cleanly. Dynamics selects the field content; matter theory constructs conserved source profiles and matched departures; phenomenology maps those sources and modes into apparatus-level observables. The paper thereby supplies the conceptual and technical bridge between Scale Space geometry and its leafwise dynamical successor without pre-empting the latter’s detailed spectrum or open nonlinear completion questions.