Direct laboratory determinations of the Newtonian gravitational constant remain mutually inconsistent, and this uncertainty propagates directly into the mechanical Planck scales. Within Mittermeier Attractor Theory (MAT), we test the inverse construction: finite-support closure fixes a dimensionless electron-to-Planck hierarchy, atomic spectroscopy fixes the Planck length, and Newton’s constant appears only in the final SI projection. No direct gravity measurement, Hubble calibration, or pre-existing Planck mass enters the forward chain; the Rydberg wavenumber is its only non-exact dimensional anchor. Starting from the plastic constant, a reduced operator on a forty-dimensional finite trace space fixes a single support-to-chart boundary coordinate. An independently back-integrated renormalization-group flow is then required to reproduce that same coordinate, selecting a nonzero vacuum root within a declared search interval. A separate graded finite-boundary model, stated together with its operator assumptions, uses an explicit odd projection to remove the even quadratic transmission while retaining the coherent cubic three-channel response. Combined with the exact Rydberg relation, the construction yields a single value: G(MAT) = 6.6742409426 × 10⁻¹¹ m³ kg⁻¹ s⁻². Direct determinations of G are used only as external audits; no experimental method class is privileged. The remaining theoretical obligation is a unique microscopic ultraviolet completion of the finite-boundary algebra, while the single-G readout is experimentally falsifiable through future convergence of direct measurements at the few-parts-per-million level.
Rainer Andreas Mittermeier (Wed,) studied this question.