A Coherence-Based Framework for Galactic Morphology and Evolution

This paper introduces a novel framework for understanding galactic structure and evolution, grounded in coherence-dark coherence resonance dynamics. Traditional models, such as density wave theory, struggle to explain the longevity, periodic evolution, and nested substructures observed in spiral arms, bars, and rings across diverse galactic morphologies. The proposed coherence model utilizes a generalized spatial-temporal function to describe how real and dark coherence fields interact through periodic reinforcement and dissipation cycles. These interactions prevent spiral arm winding, sustain structural integrity, and predict periodic reformation of features across gigayear timescales. Mathematical derivations of the coherence function are provided, along with scaling laws applicable across galaxies of varying mass and morphology. The framework lays the foundation for subsequent predictive studies and introduces a unified, testable model of galactic dynamics that aligns with both observed structures and their temporal evolution. This work serves as the theoretical cornerstone for a multi-part series comparing coherence-based predictions with high-precision astronomical observations.