A Coherence-Dark Coherence Framework for Predicting Particle Anomalies

This work presents a comprehensive Coherence-Dark Coherence framework for predicting and analyzing anomalies in particle physics, including BBB-meson decays, kaon decays, tauonic transitions, and neutrino oscillation anomalies. Using a recursive energy exchange mechanism, we derive modifications to weak decay amplitudes, angular distributions, and lepton universality ratios, offering an alternative explanation to new particle hypotheses like leptoquarks and Z′Z'Z′-bosons. A key result is the identification of a stability ratio ERdark≈0.342E_R^{\text{dark}} \approx 0.342ERdark≈0.342, emerging from recursive symmetry-breaking interactions, and its connection to a cosmic misalignment factor of 0.1 through a power-law scaling relationship. Sensitivity analysis confirms that this ratio defines a bounded range, suggesting it plays a role in fundamental coherence-driven phenomena across physics, from quantum phase transitions to astrophysical self-interactions. This study also provides absolute numerical predictions for deviations in key observables s and branching ratios in rare weak decays, allowing for direct experimental validation at LHCb, Belle II, and future neutrino experiments. The results suggest that coherence eigenstates dynamically influence weak interactions, with implications extending beyond particle physics into turbulence theory, condensed matter systems, and cosmic evolution.