Reaction-Diffusion Systems
This research area studies how spatial organization can emerge from local transport, interaction, and constraint. In classical settings, reaction-diffusion systems are used to model chemical waves, concentration patterns, oscillatory media, morphogenesis, and other forms of self-organization. In Coherence Geometry, these behaviors are studied as projections of underlying coherence dynamics, where local relaxation, amplitude modulation, phase interaction, diffusion-like transport, and stability selection generate visible pattern structure.
Publication List
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Emergent Modular Structure in Coherence-Driven Oscillator Fields: Spontaneous Phase Alignment and Internal Refinement in Conservative Lattices
CGI-RSR-000025 | The paper demonstrates a model where even in single-phase systems, modular segmentation and internal refinement can arise purely from local alignment dynamics. In high-dimensional extensions—such as those used in CDI inference systems—this behavior becomes a scalable mechanism for unsupervised structure formation, analog memory stabilization, and generalization.
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Pattern Formation via Curvature-Driven Amplitude Relaxation in Coherence Geometry
CGI-RSR-000015 | We present a coherence–geometric formulation of diffusion–reaction–like pattern formation based on curvature-driven amplitude relaxation (CDAR). Rather than modeling diffusion and reaction as distinct processes acting on multiple scalar fields, the proposed approach represents spatial structure as the evolution of a constrained amplitude–phase field governed by geometric coherence couplings.