Temporal Phase Synchronization Theory (TPST): Cosmological, Electroweak and Particle-Mass Constants from S3 Phase Synchronization -- A Parameter-Free Framework

We present the Temporal Phase Synchronization Theory (TPST), a geometric framework in which the observable Universe emerges from the synchronization dynamics of temporal-phase gradients on a four-dimensional hypersphere S3. The theory contains no free cosmological or particle-physics parameters. The complete Lagrangian is a gauged nonlinear sigma model on S3 coupled to Einstein gravity: L = (c4/16piG)R + (f2/2)|D_mu n|2 - V_Lohe(r) - (1/4e2)F_uv F^uv, where n: M -> S3 is the gradient direction field and D_mu includes the U(1) Hopf connection. Main results (zero free parameters): baryonic density Omega_b = 4.896% (Planck 2018: 4.897%, error 0.0%); fine structure constant alpha_EM = 1/137.03 (CODATA: 1/137.036, error 0.005%); Higgs boson mass m_H = 125.00 GeV (PDG: 125.09 GeV, error 0.07%); electroweak mixing angle sin2(theta_W) = 0.2335 (error 1.0%); MOND acceleration a_0 = 1.17e-10 m/s2 (error 2.5%); Cabibbo angle theta_C ~ 12 degrees (error ~8%); SPARC 175 galaxy rotation curves with 0 free parameters (sigma = 0.071 dex); Mercury precession 42.92''/cy (error 0.4%); Koide lepton relation 2/3 (error 0.002%). Mean error over 22 quantities: < 2%. Strong-field General Relativity is recovered exactly (Schwarzschild metric, 4 classical tests). The CKM mixing hierarchy theta_12 >> theta_23 >> theta_13 is explained geometrically from the Berger sphere squashing (r*2 = 1/phi, golden ratio). The Higgs mechanism is identified with Lohe synchronization: the VEV breaks SU(2) x U(1) -> U(1)_EM. Ten falsifiable predictions are proposed: 5 cosmological/gravitational (testable by JWST, DESI, Euclid) and 5 quantum computing validations (testable immediately on IBM/Google qubit processors). Supplementary material: full thesis in Catalan (TeoriaSincronia.pdf).