Closure-First Planck Length and Newton Constant from Atomic Spectroscopy in Mittermeier Attractor Theory (MAT): Effective Electron Boundary Action and the Rydberg SI Bridge

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 = c^3ℓP^2/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 m_e/M_P = 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,MAT^2 / 4π) (m_e/M_P). The reproducibility package verifies m_e/M_P = 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) m^3 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) m^3 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 m_e/M_P. Its microscopic finite-support Dirac determinant is identified as the remaining operator-lift target.