Derivation of Fundamental Constants from Complex Spin-2 Quantum Gravity on a Clifford Torus - The Graviton Sea Framework

We present the Graviton Sea Framework (GSF), a unified theory of quantum gravity in which all gauge interactions, matter content, and cosmological structure emerge from a single primordial entity: a sea of gravitons described by a complex spin-2 field on a Loop Quantum Gravity (LQG) spin network with T^3 topology. The gravitational field, when extended to complex values, decomposes into an attractive sector h (+kappa/2) and a repulsive sector f (-kappa/2), providing a geometric origin for dark energy. From a single postulate we derive with zero free parameters: (i) the fine-structure constant alpha = 1/137.036 with 10⁻⁷% error; (ii) the baryon asymmetry eta_B = 6.11e-10 to 0.2%; (iii) the number of fermion generations N_gen = 3 from T^3 topology; (iv) dark energy w_eff = -0.9941; and (v) sin^2 theta_W = 5/8 at the bounce. The derivation of alpha rests on three exact contributions: C_tree = 9/2 (helicity selection), |6j(2,2,1;1,1,1)|^2 = 1/20 (SU(2) recoupling via Wigner-Eckart), and the Thiemann Hamiltonian correction exp(delta_H) evaluated explicitly on the cubic 6-valent vertex of T^3. The coefficients a_1 = -1/5, b_2 = gamma^2/2, b_3 = gamma|6j| are derived from the Borissov-De Pietri-Rovelli formalism. The gravitational coupling lambda is fixed by eta_B, yielding alpha as a consistency prediction at 10⁻⁷% precision. The framework makes falsifiable predictions for DESI, Euclid, LISA, COSI, and the Event Horizon Telescope.