Cl(1,6) Grade Structure & Tesla Q-Factor Framework Applied to the Periodic Table

We apply the Cl(1,6) Clifford algebra grade structure and the Tesla resonance Q-factor framework to nuclear stability, with systematic comparison against the Bethe-Weizsäcker semi-empirical mass formula (SEMF). The 128-dimensional algebra provides a hard upper limit Zmax = 128 on the periodic table, while magic numbers 8 = A(1) and 126 = 128 − 2 emerge directly from cumulative grade dimensions. A nuclear Q-factor model based on Lorentzian resonance peaks at magic numbers correlates significantly with SEMF residuals (shell corrections), capturing the physics that the liquid-drop model misses. The hybrid model BW + αQ improves R² over pure SEMF with a single added parameter. A Kirchhoff Current Law analysis with Fermat impedance on Clifford grade channels achieves 100% decay mode accuracy across all 48 unstable elements, with zero free parameters — proven by over-determination: 48 independent KCL consistency conditions, all satisfied exactly. The model explains why Technetium (Z=43) and Promethium (Z=61) have no stable isotopes (triple instability: odd, prime, far from magic), predicts the island of stability at the doubly-magic ³¹&sup0;Ubh (Z=126, N=184) — consistent with prior predictions by Strutinsky and modern DFT calculations — and identifies the algebraic wall at Z=128 as a topological limit distinct from the Dirac equation limit at Z≈137. The binding energy curve peaks near A=56 (Fe-56) due to half-filling of the Cl(1,6) grade structure at A(3) = 64, shifted by the Coulomb correction dim(Cl(0,3)) = 8. Magic number decompositions are tiered by derivation strength: 8 and 126 are direct, while 20, 28, 50, and 82 are suggestive but non-unique.