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Fire Without Flow: A Coherence-Geometric Model of Self-Sustained Reactive and Fluid-Like Dynamics

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Internal ID: CGI-RSR-000043
Author(s): Barry L. Petersen
Document Type: Research Paper
Publication Date: September 30, 2026
Original Creation Date: November 7, 2025
Revised Document Date: September 25, 2026
Status: Public
Domains: Physics, Fire Dynamics, General
Sub-Domain: Reactive Coherence Dynamics / Fluid-Like Organization
Research Topics: Reactive Dynamics, Fire Dynamics, Coherence Geometry, CDAR, CDAD, CDT, Amplitude Relaxation, Activation Dynamics, Coherence Transport, Thermal Feedback, Nucleation, Plume Formation, Phase Transitions

Abstract

This paper develops a coherence-geometric reactive-field model in which self-sustained fire-like and phase-transition-like behavior arises from a common coupled amplitude, thermal, and phase architecture.

The construction combines diffusion, activation, saturation, phase coupling, thermal feedback, curvature-driven redistribution, and optional fluid-active transport. Phase-driven coherence flux may redistribute reactive amplitude without requiring material velocity as a primitive variable, while stronger transport regimes may additionally retain an explicit velocity sector.

Numerical investigations demonstrate several qualitatively distinct regimes within the same framework, including a diffusive firefall transient, persistent laminar-like plume formation, high-intensity flickering or turbulent-like behavior, and nucleation-dominated phase-transition-like dynamics involving the formation, growth, interaction, and coalescence of bubble-like domains.

Within the later coherence-geometric interpretation, these regimes correspond to different balances among curvature-driven amplitude relaxation (CDAR), curvature-driven activation dynamics (CDAD), and curvature-driven transport (CDT).

The work is presented as a qualitative generative investigation of reactive and fluid-like organization rather than as a predictive combustion model or engineering fluid simulation.

Available Document

DOI: 10.5281/zenodo.23053425

Citation:
Petersen, B. L. (2026). Fire Without Flow: A Coherence-Geometric Model of Self-Sustained Reactive and Fluid-Like Dynamics (Version 1.0). Coherence Geometry Institute. Zenodo. https://doi.org/10.5281/zenodo.23053425

Source Code and Supporting Materials

The Zenodo record includes three Python scripts preserving representative computational realizations developed in the paper.

Primary file:
Fire_Without_Flow__A_Coherence_Geometric_Model_of_Self_Sustained_Reactive_and_Fluid_Like_Dynamics.pdf

Version 1.0 archival research paper.

Supporting computational scripts:

  • mu_fire3C_512_LAMINAR.py
    Representative implementation of the firefall transient and laminar plume regime.
  • mu_fire3C_burner_line_modified_TURBULENT.py
    Representative implementation of the high-intensity turbulent-like or flickering regime.
  • mu_fire3_Boiling.py
    Representative implementation of the boiling or nucleation-dominated phase-transition-like regime.

The scripts are supplied as archival research artifacts for transparency, reproducibility, and provenance. They are not distributed as a polished or continuously maintained combustion-simulation package.

A README file accompanying the Zenodo deposit records document provenance, scope, citation information, file integrity, and archival metadata.

Summary and Notes

Scope:

This paper extends the coherence-geometric fluid program into reactive dynamics through a shared amplitude–thermal–phase architecture.

The model combines several mechanisms within one computational framework:

  • diffusion;
  • reactive activation;
  • saturation;
  • phase coupling;
  • thermal feedback;
  • curvature-driven redistribution;
  • phase-driven coherence flux; and
  • optional explicit fluid-active transport.

A key feature of the construction is that redistribution of reactive amplitude need not begin from a conventional material velocity field. Phase-driven coherence transport can organize and redistribute the reactive state directly, while an explicit fluid-active velocity sector may be added in stronger transport regimes.

The numerical program explores several qualitatively different behaviors.

A diffusive firefall regime exhibits transient redistribution and decay.

A persistent laminar-like plume regime demonstrates sustained coherent reactive organization.

A high-intensity flickering or turbulent-like regime exhibits stronger activation, transport, and temporal variability.

A nucleation-dominated regime produces phase-transition-like behavior characterized by the formation, growth, interaction, and coalescence of bubble-like domains.

Within the mature Coherence Geometry framework, these regimes may be interpreted through different balances among three coherence-governed modes:

  • Curvature-Driven Amplitude Relaxation (CDAR): stabilization and relaxation;
  • Curvature-Driven Activation Dynamics (CDAD): sustained activity, growth, and decay;
  • Curvature-Driven Transport (CDT): redistribution of coherence organization.

The significance of the construction is therefore not that one equation has been fitted separately to several phenomena. Rather, qualitatively different reactive and fluid-like regimes emerge from different dynamical balances within a common coherence-geometric architecture.

The work remains an application-level and generative model. It is not presented as a complete predictive theory of combustion chemistry, atmospheric fire behavior, or engineering fluid mechanics.

Related Work

Foundational framework:

Petersen, B. L. (2026). Coherence Geometry Foundations, Part I: Orientation, Closure, and Algebraic Foundations(Version 0.1). Zenodo.
https://doi.org/10.5281/zenodo.20156531

Petersen, B. L. (2026). Coherence Geometry Foundations, Part II: Physical Projections. Zenodo.
https://doi.org/10.5281/zenodo.20156996

Coherence-governed dynamical modes:

Petersen, B. L., Johnson, R. K., & Bruno, A. E. (2026). A Conceptual Overview of the Coherence-Geometric Framework: Organizational Structure, Terminology, and Projection (Version 1.0). Coherence Geometry Institute. Zenodo.
https://doi.org/10.5281/zenodo.22720726

Petersen, B. L. (2026). Triadic Organization of Coherence-Governed Systems: Stabilization, Activation, and Transport as Constraint-Driven Modes (Version 1.0). Coherence Geometry Institute. Zenodo.
https://doi.org/10.5281/zenodo.22721088

Petersen, B. L. (2026). Pattern Formation via Curvature-Driven Amplitude Relaxation in Coherence Geometry. Zenodo.
https://doi.org/10.5281/zenodo.20121185

Related physical and projection work:

Petersen, B. L. (2026). Coherence Geometry as a Structured Generalization of Fluid Dynamics (Version 1.0). Coherence Geometry Institute. Zenodo.
https://doi.org/10.5281/zenodo.23043221

Petersen, B. L. (2026). Projection-Covariant Dynamics in Coherence Geometry: Presymplectic Reduction, Mapping-Space Evolution, and Observable Descent (Version 1.0). Coherence Geometry Institute. Zenodo.
https://doi.org/10.5281/zenodo.23040342

Petersen, B. L. (2026). Coherence Geometry Foundations, Volume II: Source Curvature, Book II: Projection Archetypes and Structural Realizations (Version 0.1). Coherence Geometry Institute. Zenodo.
https://doi.org/10.5281/zenodo.23057738

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