The Cascade: From D = 11 to the Periodic Table in Eleven Steps

The extended Randall-Sundrum framework with D = 11 dimensions and the reduced Planck mass MPl as its only scale produces, with zero fitted parameters, a cascade of derivations spanning particle physics, nuclear physics, cosmology, and chemistry. This paper traces the complete chain: D = 11 determines the spoke count (N = 7), the warping depth (kL = 37), and the fine-structure constant (α = 1/137). From these, the electron mass follows as mₑ = MPl × e^−D (D−2) (1+α) /2 × (kL/ (kL+1) ) ² = 0. 512 MeV (0. 2% error). The electron mass seeds the entire fermion spectrum via Bessel eigenmodes, the nuclear binding energy via SEMF coefficients traced to m_π, the periodic table via the nuclear stability curve, and chemistry via α²mₑ/2 = 13. 6 eV. The cosmological constant, the dark matter fraction, the Hubble tension, the Koide and Cabibbo angles, the strong CP solution, and parity violation all derive from the same geometry. The 19 free parameters of the Standard Model reduce to two inputs. We catalog the cascade in eleven levels, from the geometry itself to the conditions for biological life, with error estimates at each step.