Complete Planck Units from the Rydberg Spectroscopy Readout in Mittermeier Attractor Theory (MAT): Electron Boundary Action and Branch-Resolved Newton-Constant Projection

This paper reconstructs the complete Planck-unit system inside Mittermeier Attractor Theory (MAT) from the Rydberg spectroscopy readout, without using the Newton constant or a Hubble calibration as input. In the 2019 SI, the defining constants c, h, e, kB, and ΔνCs are exact. The remaining non-exact conventional gates are the fine-structure constant and the Newton constant G, whose recommended value is still obtained from scattered direct measurements through a least-squares adjustment. MAT replaces this order by a closure-first Planck-length reconstruction. The support-to-chart laboratory branch α0,MAT and the effective MAT electron boundary action fix the electron-to-Planck mass ratio as me/MP = exp[−(π/4 − αM/e − (5/2 − 9αM/8) εcl) / δαchart,π] = 4.185462254887663 × 10^−23. The atomic Rydberg bridge R∞ ℓP = (α0,MAT² / 4π) (me/MP) then fixes the dimensionless product R∞ℓP before gravity is introduced. The SI Planck length follows from the measured Rydberg constant R∞,SI, and the Newton coordinate appears only afterwards through the standard identity G = c³ℓP²/ℏ. The atomic/Rydberg SI projection gives ℓP,atomic = 1.6162550382220258 × 10^−35 m, Gatomic = 6.674300113959901 × 10^−11 m³ kg^−1 s^−2. This branch lies on the CODATA-2022 central audit coordinate. The same closure spine also identifies the Planck-side support branch αM and the universal closure memory εcl = αM²/(4π). Projecting this support branch onto a pairwise mechanical source channel gives αG,source = αM(1 − 2εcl/3) = αM(1 − αM²/(6π)), and therefore Gsource = 6.673871106046228 × 10^−11 m³ kg^−1 s^−2. This value lies 0.166 ppm from the NIST/BIPM 2026 Schlamminger torsion-balance audit point and is the MAT candidate for the macroscopic stress-energy source coupling. The paper therefore separates an atomic SI projection from a mechanical source projection of the same closure-first support system. The Planck-unit identities are unchanged; the new content is the length-first route to R∞ℓP and the branch-resolved interpretation of direct G metrology.