Chemistry

The Chemistry domain studies how chemical structure may arise within Coherence Geometry from phase organization, curvature relaxation, shared-amplitude constraints, transport, and coherent interaction between field structures. Rather than treating orbitals, bonds, molecular geometry, and reaction patterns only as fixed outputs of standard formalisms, this domain investigates how recognizable chemical forms can emerge as stable projections of deeper coherence dynamics.

Research Topics

Diffusion-Reaction and Pattern Formation

Coherence-geometric studies of reaction-diffusion behavior, concentration patterns, chemical waves, spatial self-organization, and emergent morphology.

Quantum Chemistry

Coherence-geometric studies of orbital formation, bonding, nodal topology, molecular structure, and chemical stability.

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…

  • Atomic Orbitals via Coherence Geometry

    CGI-RSR-000024 | This paper introduces a geometric framework for the spontaneous emergence of atomic orbital structures from curvature-driven field dynamics, independent of quantum mechanical postulates. Within Petersen’s Coherence Geometry (CG) framework, orbitals arise as metastable attractors in a real-valued amplitude field, shaped by angular tension gradients and curvature bifurcations.

  • 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.