This paper reconstructs the Planck length and the Newton constant from atomic spectroscopy within Mittermeier Attractor Theory (MAT), without using a Hubble calibration. The central reconstructed object is the dimensionless product R∞ℓP. Once this product is fixed, the SI Planck length follows from the Rydberg constant, and the Newton constant follows only afterwards through G = c³ℓP²/ℏ. The paper therefore reverses the usual metrological order: instead of measuring G first and then inferring Planck units, MAT reconstructs the Planck length first and treats G as its quadratic SI projection. The only non-standard step is the MAT electron boundary action. It predicts the electron-to-Planck mass ratio as mₑ/MP = exp- (π/4 − αM/e − (5/2 − 9αM/8) εcl) / δα*chart, π. This converts dimensionless MAT closure data into the electron–Planck hierarchy. Combined with the MAT laboratory fine-structure readout, it gives the Rydberg bridge R∞ℓP = (α0, MAT² / 4π) (mₑ/MP). The reproducibility package verifies mₑ/MP = 4. 185462254887663 × 10^ (-23), R∞ℓP = 1. 7736348935129844 × 10^ (-28), ℓP, MAT = 1. 6162550382220258 × 10^ (-35) m, and G MAT, R∞ = 6. 674300113959901 × 10^ (-11) m³ kg^ (-1) s^ (-2). The G readout differs by 17. 1 ppb from the CODATA-2022 central audit value G CODATA = 6. 67430 (15) × 10^ (-11) m³ kg^ (-1) s^ (-2). The corresponding Planck-length residual is 8. 54 ppb. The Rydberg identity and the Planck-unit identity used after the electron law are standard. The novelty is the dimensionless MAT boundary law for mₑ/MP. Its microscopic finite-support Dirac determinant is identified as the remaining operator-lift target.
Rainer Andreas Mittermeier (Sun,) studied this question.