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

  • 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 a deterministic, curvature-bound coherence field within the Coherence Geometry (CG) framework. A reduced multi-phase model with ordinary wave propagation, phase locking, and higher-spatial-derivative curvature stiffness is evolved outside a prescribed spherical core. Energy transport is measured using the complete radial Noether current.

  • Deterministic Geometric Preparation and the Emergence of the Born Rule in Two-Path Interference

    CGI-RSR-000022 | The two-path interference law is conventionally derived from complex amplitude superposition together with the Born rule. We present an alternative structural derivation based on a deterministic geometric preparation model defined on the unit circle.

  • Geometric Substrate Models and Bell–CHSH Correlations: A Structural Analysis of Assumption Relaxation

    CGI-RSR-000021 | This paper presents a structural analysis of Bell–CHSH correlations using a hierarchy of geometric hidden-variable models defined on the unit circle. The purpose is not to propose a complete physical hidden-variable theory, but to make the assumption-dependence of Bell-type correlations explicit in a transparent geometric setting. The paper examines how Bell–CHSH behavior changes…

  • Planck’s Constant as a Coherence Quantization from Phase Geometry

    CGI-RSR-000020 |Planck’s constant h is traditionally introduced as an empirical constant. Here we show that a natural action scale S_0 arises from phase-constrained coherence geometry. Thus quantization is not imposed but emerges from the geometry of phase closure.

  • Electromagnetism from Coherence Geometry: Field Alignment, Wave Propagation, Lorentz Interactions, and Coherence-Driven Radiation

    CGI-RSR-000019 | This work presents a reformulation of classical electromagnetism using Coherence Geometry (CG) — a deterministic framework in which electric and magnetic phenomena emerge from the dynamics of structured phase alignment rather than fundamental vector fields.

  • Toward a Mechanism of Charge: A Criterion-Based Approach Using Coherence Geometry 

    CGI-RSR-000018 | This paper presents a geometric mechanism for electric charge, grounded in localized curvature within a structured coherence field rather than in fundamental particles.

  • Coherence Geometry Foundations, Part II: Physical Projections

    CGI-BKS-0002 | Part II of the Coherence Geometry Foundations working reference text. It examines how quantum-like linear dynamics, causal and relativistic structure, residual coherence strain and cosmological background terms, electromagnetic field structure, thermodynamic behavior, and macroscopic transport can be represented as domain-level projections of the shared-amplitude, multi-phase coherence framework.

  • Coherence Geometry Foundations, Part I: Orientation, Closure, and Algebraic Foundations

    CGI-BKS-0001 | Part I of the Coherence Geometry Foundations working reference text. It introduces multi-phase numbers, shared-amplitude phase structure, mathematical closure, projection, coherence relations, coherence matrices, coherence manifolds, projective coherence objects, morphisms, operators, and the canonical convergence and stability results governing coherent systems.

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