Pattern Formation
This domain studies how visible structure emerges from local interaction, constraint, transport, relaxation, and coherence dynamics. In Coherence Geometry, patterns are treated as stable projections of underlying coherence organization: phase relations, amplitude modulation, curvature, compatibility, and boundary effects. The domain includes reaction-diffusion behavior, crystal growth, waves, spirals, branching, aggregation, and other forms of spatial self-organization.
Dalmatian pattern obtained through a Curvature-Driven Amplitude Relaxation simulation
Research Topics
Studies of reaction-diffusion behavior, chemical waves, local transport, and spatial self-organization through coherence dynamics.
Crystal and Snowflake Formation
Studies of crystal growth, snowflake morphology, branching structure, and geometric order emerging from local attachment and coherence constraints.
Coherence Basins and Defect Structures
Studies of basin formation, localized defects, coherence boundaries, residual strain, and modular coherent structure in evolving fields.
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.