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

Updated version: This version corrects an earlier error in the acknowledgments section. No external funding from CONACYT was received. The rest of the content remains unchanged.This supplementary material accompanies the article “Conditional Matter–Antimatter Annihilation: A Unified Framework for Dark Sector Puzzles and Experimental Signatures”, which proposes a structural extension of the Standard Model in which matter–antimatter annihilation is not inevitable, but conditional on quantum alignment. The document includes full mathematical derivations, cosmological calculations of the survival fraction ε\varepsilonε, evaluation of electromagnetic cross sections σzγ\sigma_{z\gamma}σzγ, reproducible experimental protocols (positronium RF, antihydrogen spin-flip, LHC residuals, CMB anisotropies), uncertainty propagation analysis, a comprehensive parameter table, and a final appendix with executable Python code for all key predictions. This supplement provides the technical foundation to experimentally test or falsify the conditional annihilation hypothesis, with concrete, falsifiable predictions spanning atomic, collider, and cosmological physics.