Newton's Constant from a Finite Quantum Cell: A dimensionless spectroscopic gravity invariant and its one-anchor SI projection

Mittermeier Attractor Theory (MAT) provides a closed and reproducible route from a finite dimensionless quantum cell to Newton's constant using one spectroscopic unit anchor. The central result is the dimensionless gravity invariant Γ_R = GℏR_∞²/c³ = 3.14575284639953 × 10⁻⁵⁶, obtained before any dimensional measurement enters. A normalized forty-channel transmission trace fixes the finite-to-continuum response, while the electromagnetic boundary map and electron action determine the low-energy coupling and the electron–Planck hierarchy. Inserting the resulting state into the unchanged Rydberg identity yields ℓ_P^MAT = 1.6162478737084(18) × 10⁻³⁵ m and G_MAT = 6.674240942595(15) × 10⁻¹¹ m³ kg⁻¹ s⁻². No measured value of G, electron mass, Planck unit, Hubble scale, cosmological density, or fine-structure constant is used in the forward gravity calculation. The same finite response also closes an ultraviolet-to-infrared vacuum trajectory and generates two matter–Hubble projections, demonstrating that atomic, gravitational, and cosmological readouts can arise as correlated consequences of one architecture. A finite-algebra theorem identifies the diagonal scalar centre as the microscopic condition for universal gravitational response. Finally, a hash-locked lensing–growth protocol turns the conserved MAT closure source into a prospective falsification test while remaining strictly downstream of the derivation of G. The result is therefore both a precision prediction and a compact unification programme: electron spectroscopy calibrates the absolute gravitational scale, finite algebra organizes universality, and independent cosmological observables test the shared microscopic origin.