Field Dynamics

This research area studies the internal dynamics of coherence fields, including phase evolution, relaxation, wave propagation, flux, basin formation, and refinement. In Coherence Geometry, fields are not treated only as passive containers for physical quantities; they are structured amplitude-phase systems whose internal constraints can generate observable behavior.

Coherence basin field forming during coupled oscillator relaxation, with ripple events visible.

Papers in this area examine how local alignment, curvature strain, amplitude modulation, boundary effects, and variational relaxation produce coherent motion, organized field structure, transport, emission, or stabilization. These studies often sit near the boundary between physics, pattern formation, and information processing, because the same field dynamics can appear as waves, basins, fluxes, defects, or memory-like structures depending on the projection.

Publication List

  • Atomic Bonding via Coherence Geometry

    CGI-RSR-000027 | This paper applies Coherence Geometry — a deterministic, field-based framework — to the problem of chemical bonding, modeling atoms as continuous amplitude and phase fields evolving under a shared energy functional. Unlike traditional quantum mechanics, which describes bonding via probabilistic wavefunction overlap and operator constraints, Coherence Geometry treats bond formation as a real-time…

  • Deterministic Protein Folding from Coherence Fields

    CGI-RSR-000026 | We present a deterministic, geometry-based model of protein folding using a novel variational framework called coherence geometry (CG). In this system, residues are modeled as local phase agents embedded in a spatial field, each carrying internal biases that reflect their chemical identities. The chain folds not through stochastic search or learned potentials, but…

  • 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.

  • A Variational–Relaxation Framework for Coherence-Driven Structure Formation

    CGI-RSR-000013 | We develop a variational framework for coherence-driven structure formation, placing phase coherent self-organization within a unified geometric description compatible with variational principles used throughout physics.