Physics

Coherence Geometry provides a structural framework for modeling physical systems through interactions among numerical fields and coherence-driven dynamics. Research in this domain spans foundational questions and domain-specific phenomena across theoretical physics.

Research Topics

Fundamental Structure

Quantum Foundations

Coherence-geometric treatments of phase closure, quantization, interference, measurement, and quantum correlation structure.

Gravitation, Horizons, and Cosmology

Black Holes and Horizon Structure

Investigations of horizon-like interfaces, curvature trapping, information flow, radiative flux, and gravitational analogue dynamics within coherence-geometric models.

Cosmology

Applications of coherence-driven dynamics to large-scale structure, cosmic evolution, late-time expansion, dark-sector behavior, and early-universe phenomena.

Field and Continuum Systems

Electromagnetism

Geometric representations of electromagnetic fields and interactions within the coherence framework.

Fluid Dynamics

Continuum systems modeled through curvature-driven amplitude relaxation and coherence-governed transport.

Field Dynamics

Coherence-field models of phase evolution, relaxation, flux, wave propagation, basin formation, and internal refinement in structured amplitude-phase systems.

Applied Physical Systems

Accelerator and Beam Physics

Coherence-geometric approaches to particle beams, accelerator systems, field-driven transport, beam stability, collective dynamics, and coherent output.

Publications List

  • A Source-to-Endpoint Construction for Compact-Simple Yang–Mills Existence and Mass Gap

    CGI-RSR-000034 | This archival research paper presents a source-to-endpoint construction for compact-simple Yang–Mills theory on four-dimensional Euclidean spacetime.

  • Constraint-Driven Formation of Coherence Structures and Their Inverse-Square Exterior Flux

    CGI-RSR-000031 | We establish a dynamical mechanism by which coherence-driven structure formation produces the inverse-square scaling behavior associated with galactic rotation curves and gravitational lensing.

  • Inverse-Square Density Profiles and Gravitational Lensing from Conserved Flux

    CGI-RSR-000030 | The paper establishes the following chain: conserved outward flux -> rho(r) ~ r^-2 -> gravitational potential -> approximately constant lensing deflection. The resulting lensing behavior is consistent with the leading-order predictions of standard halo models used to interpret gravitational lensing observations.

  • Conserved Flux and Inverse-Square Density Profiles in Galactic Rotation Curves

    CGI-RSR-000029 | The paper establishes the following chain: conserved outward flux -> rho(r) ~ r^-2 -> M(r) ~ r -> v(r) approximately constant. Under general conditions, inverse-square density profiles and flat galactic rotation curves arise as direct consequences of flux conservation in three-dimensional space.

  • Emergent Duplex Helicity from Coherence Alignment and Transport

    CGI-RSR-000028 | Helical structures are commonly modeled by prescribing a rotational geometry, a preferred twist angle, or an equivalent geometric construction rule. In this work, we investigate an alternative approach in which helicity emerges from local coherence dynamics rather than from an explicitly imposed helical instruction.

  • 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.

  • 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.

  • Horizon-Like Emission from Curvature-Bound Coherence Fields

    CGI-RSR-000023 | We investigate horizon-like emission from curvature-regulated coherence fields within the Coherence Geometry (CG) framework. Using a multi-phase Lagrangian that incorporates curvature stiffness and phase-locking interactions, we numerically simulate the relaxation of a confined coherence region bounded by a curvature rim.

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