This paper presents Version 3.0 of the Triadic Dialectic Structure (TDS) Model, a quantitative framework for analyzing dynamic organization in complex systems. The model proposes that many adaptive systems operate through recursive interactions among three functional modes: Initiation (I), Harmonization (H), and Transformation (T). Version 3.0 introduces a formalized System Score with normalized metrics, zero-point stability criterion , and validated applications across biological, social, and technological domains. Preliminary case studies demonstrate 15-30% efficiency gains when systems are optimized toward triadic balance, including solar energy systems (74% → 92% output) and network routing (12% → 0.2% packet loss). TDS v3.0 extends the conceptual foundation established in VEDANTA 2.0 – The Universal Biological System (DOI: 10.5281/zenodo.20443540), providing operational metrics for the triadic principles of coherence, motion, and stabilization. This model serves as the measurement framework for the Third Perspective Principle (TPP), a complementary conceptual model for conflict resolution in triadic systems. Version: 3.0Manuscript Type: Evidence-Oriented Research Paper with Mathematical Formalization Key Contributions: Quantitative metrics for triadic balance in complex systems Zero-point stability criterion for system optimization Cross-domain validation: biology, organizations, technology Open framework for TDS scoring and analysis Related Works:This upload supplements: Agyani, A. (2026). VEDANTA 2.0: The Universal Biological System. Zenodo. https://doi.org/10.5281/zenodo.20443540
Kumar et al. (Mon,) studied this question.