Conditional matter antimatter annihilation A structural mechanism for dark matter and cosmological puzzles

Updated version: This version includes revised figures, corrected equations, and updated parameter tables consistent with the benchmark model (ε = 1.7×10⁻⁷, mϕ = 40 MeV). The numerical code has been refactored for reproducibility. No external funding from CONACYT was received. This supplementary material accompanies the article “Conditional Matter–Antimatter Annihilation: A Unified Framework for Dark Sector Puzzles and Experimental Signatures”. It presents a full mathematical and computational foundation for the hypothesis that matter–antimatter annihilation is not automatic but conditional upon quantum structural alignment. The document includes: Rigorous derivation of the universal suppression function f(θ) = cos²(θ/2) from Dirac spinor overlap. Cosmological integrals yielding a survival fraction ε ≈ 1.7×10⁻⁷ consistent with observed dark matter density. Computation of electromagnetic cross sections (σ_zγ ≈ 5.3×10⁻⁵⁷ cm²) and gravitational coupling parameters. Detailed experimental protocols for positronium RF modulation and antihydrogen spin-flip tests. Full propagation of uncertainties via MCMC, and benchmark parameter tables. Executable Python code implementing all key derivations, from dark matter relic density to CMB anisotropies. This material provides a reproducible and falsifiable technical framework to test the conditional annihilation mechanism across atomic, collider, and cosmological systems.