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), this paper develops the inverse construction: a dimensionless closure chain fixes the electron-to-Planck hierarchy, Rydberg spectroscopy fixes the Planck length, and Newton’s constant appears only in the final SI projection. No direct gravity measurement, Hubble calibration, measured electron mass, or pre-existing Planck mass enters the forward chain. The Rydberg wavenumber is its only non-exact dimensional anchor. The construction begins with the plastic constant, fixes a finite support cell, and transports its opening through a reduced forty-dimensional trace operator. The resulting support-to-chart coordinate must then be reproduced by an independently back-integrated two-threshold renormalization-group flow. This matching condition selects a nonzero vacuum root within a declared search interval. A separate graded finite-boundary model, stated together with its operator assumptions, removes the even quadratic transmission while retaining the coherent cubic three-channel response. The resulting electron hierarchy, combined with the Rydberg relation, gives ℓₚ(MAT) = 1.6162478737 × 10⁻³⁵ m and G(MAT) = 6.6742409426 × 10⁻¹¹ m³ kg⁻¹ s⁻². The same atomic anchor then generates the complete Planck-unit ledger. A scalar-amplitude readout, derived independently from the same seed architecture, provides a cross-sector audit rather than an input to the Planck or G reconstruction. Direct determinations of G and cosmological observations enter only after the forward chain has been frozen and are used exclusively as external audits. The remaining theoretical obligation is a unique microscopic ultraviolet completion of the finite-boundary and trace algebras. The SI readout itself remains experimentally falsifiable through future convergence of direct determinations of G at the few-parts-per-million level.
Rainer Andreas Mittermeier (Wed,) studied this question.