Entropy-Extended Agam Operator and Subarna Equation Reveal Coherence Dynamics Across Biological and Cosmological Scales — Supplementary Information

Supplementary Information (S1–S11) accompanying the manuscript “Entropy-Extended Agam Operator and Subarna Equation Reveal Coherence Dynamics Across Biological and Cosmological Scales.” Includes theoretical derivations, computational validation, experimental methods, and complete references. Prepared for submission to Nature Communications.与论文《熵扩展型阿加姆算子（Entropy-Extended Agam Operator）与苏巴尔纳方程（Subarna Equation）揭示跨生物与宇宙学尺度的相干动力学》配套的补充材料（S1–S11），包含理论推导、计算验证、实验方法及完整参考文献，系为投稿至《自然-通讯》（Nature Communications）所准备。