{"id":4588,"date":"2026-10-30T01:52:09","date_gmt":"2026-10-30T08:52:09","guid":{"rendered":"https:\/\/coherencegeometry.com\/?p=4588"},"modified":"2026-10-30T02:06:08","modified_gmt":"2026-10-30T09:06:08","slug":"fire-without-flow-a-coherence-geometric-model-of-self-sustained-reactive-and-fluid-like-dynamics","status":"publish","type":"post","link":"https:\/\/coherencegeometry.com\/index.php\/2026\/10\/30\/fire-without-flow-a-coherence-geometric-model-of-self-sustained-reactive-and-fluid-like-dynamics\/","title":{"rendered":"Fire Without Flow: A Coherence-Geometric Model of Self-Sustained Reactive and Fluid-Like Dynamics"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Internal ID:<\/strong>&nbsp;CGI-RSR-000043<br><strong>Author(s):<\/strong>&nbsp;Barry L. Petersen<br><strong>Document Type:<\/strong>&nbsp;Research Paper<br><strong>Publication Date:<\/strong>&nbsp;September 30, 2026<br><strong>Original Creation Date:<\/strong>&nbsp;November 7, 2025<br><strong>Revised Document Date:<\/strong>&nbsp;September 25, 2026<br><strong>Status:<\/strong>&nbsp;Public<br><strong>Domains:<\/strong>&nbsp;Physics, Fire Dynamics, General<br><strong>Sub-Domain:<\/strong>&nbsp;Reactive Coherence Dynamics \/ Fluid-Like Organization<br><strong>Research Topics:<\/strong>&nbsp;Reactive Dynamics, Fire Dynamics, Coherence Geometry, CDAR, CDAD, CDT, Amplitude Relaxation, Activation Dynamics, Coherence Transport, Thermal Feedback, Nucleation, Plume Formation, Phase Transitions<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Abstract<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">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.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">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.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">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.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">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).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">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.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Available Document<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>DOI:<\/strong>&nbsp;<code><a href=\"https:\/\/doi.org\/10.5281\/zenodo.23053425\" rel=\"nofollow noopener\" target=\"_blank\">10.5281\/zenodo.23053425<\/a><\/code><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Citation:<\/strong><br>Petersen, B. L. (2026).&nbsp;<em>Fire Without Flow: A Coherence-Geometric Model of Self-Sustained Reactive and Fluid-Like Dynamics<\/em>&nbsp;(Version 1.0). Coherence Geometry Institute. Zenodo.&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.23053425\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.23053425<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Source Code and Supporting Materials<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The Zenodo record includes three Python scripts preserving representative computational realizations developed in the paper.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Primary file:<\/strong><br><code>Fire_Without_Flow__A_Coherence_Geometric_Model_of_Self_Sustained_Reactive_and_Fluid_Like_Dynamics.pdf<\/code><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Version 1.0 archival research paper.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Supporting computational scripts:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>mu_fire3C_512_LAMINAR.py<\/code><br>Representative implementation of the firefall transient and laminar plume regime.<\/li>\n\n\n\n<li><code>mu_fire3C_burner_line_modified_TURBULENT.py<\/code><br>Representative implementation of the high-intensity turbulent-like or flickering regime.<\/li>\n\n\n\n<li><code>mu_fire3_Boiling.py<\/code><br>Representative implementation of the boiling or nucleation-dominated phase-transition-like regime.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">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.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A README file accompanying the Zenodo deposit records document provenance, scope, citation information, file integrity, and archival metadata.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary and Notes<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Scope:<\/strong><br><br>This paper extends the coherence-geometric fluid program into reactive dynamics through a shared amplitude\u2013thermal\u2013phase architecture.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The model combines several mechanisms within one computational framework:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>diffusion;<\/li>\n\n\n\n<li>reactive activation;<\/li>\n\n\n\n<li>saturation;<\/li>\n\n\n\n<li>phase coupling;<\/li>\n\n\n\n<li>thermal feedback;<\/li>\n\n\n\n<li>curvature-driven redistribution;<\/li>\n\n\n\n<li>phase-driven coherence flux; and<\/li>\n\n\n\n<li>optional explicit fluid-active transport.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">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.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The numerical program explores several qualitatively different behaviors.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A diffusive&nbsp;<strong>firefall<\/strong>&nbsp;regime exhibits transient redistribution and decay.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A persistent&nbsp;<strong>laminar-like plume<\/strong>&nbsp;regime demonstrates sustained coherent reactive organization.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A high-intensity&nbsp;<strong>flickering or turbulent-like<\/strong>&nbsp;regime exhibits stronger activation, transport, and temporal variability.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A&nbsp;<strong>nucleation-dominated<\/strong>&nbsp;regime produces phase-transition-like behavior characterized by the formation, growth, interaction, and coalescence of bubble-like domains.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Within the mature Coherence Geometry framework, these regimes may be interpreted through different balances among three coherence-governed modes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Curvature-Driven Amplitude Relaxation (CDAR):<\/strong>&nbsp;stabilization and relaxation;<\/li>\n\n\n\n<li><strong>Curvature-Driven Activation Dynamics (CDAD):<\/strong>&nbsp;sustained activity, growth, and decay;<\/li>\n\n\n\n<li><strong>Curvature-Driven Transport (CDT):<\/strong>&nbsp;redistribution of coherence organization.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">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.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">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.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Related Work<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Foundational framework:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Petersen, B. L. (2026).&nbsp;<em>Coherence Geometry Foundations, Part I: Orientation, Closure, and Algebraic Foundations<\/em>(Version 0.1). Zenodo.<br><a href=\"https:\/\/doi.org\/10.5281\/zenodo.20156531\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.20156531<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Petersen, B. L. (2026).&nbsp;<em>Coherence Geometry Foundations, Part II: Physical Projections<\/em>. Zenodo.<br><a href=\"https:\/\/doi.org\/10.5281\/zenodo.20156996\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.20156996<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Coherence-governed dynamical modes:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Petersen, B. L., Johnson, R. K., &amp; Bruno, A. E. (2026).&nbsp;<em>A Conceptual Overview of the Coherence-Geometric Framework: Organizational Structure, Terminology, and Projection<\/em>&nbsp;(Version 1.0). Coherence Geometry Institute. Zenodo.<br><a href=\"https:\/\/doi.org\/10.5281\/zenodo.22720726\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.22720726<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Petersen, B. L. (2026).&nbsp;<em>Triadic Organization of Coherence-Governed Systems: Stabilization, Activation, and Transport as Constraint-Driven Modes<\/em>&nbsp;(Version 1.0). Coherence Geometry Institute. Zenodo.<br><a href=\"https:\/\/doi.org\/10.5281\/zenodo.22721088\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.22721088<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Petersen, B. L. (2026).&nbsp;<em>Pattern Formation via Curvature-Driven Amplitude Relaxation in Coherence Geometry<\/em>. Zenodo.<br><a href=\"https:\/\/doi.org\/10.5281\/zenodo.20121185\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.20121185<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Related physical and projection work:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Petersen, B. L. (2026).&nbsp;<em>Coherence Geometry as a Structured Generalization of Fluid Dynamics<\/em>&nbsp;(Version 1.0). Coherence Geometry Institute. Zenodo.<br><a href=\"https:\/\/doi.org\/10.5281\/zenodo.23043221\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.23043221<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Petersen, B. L. (2026).&nbsp;<em>Projection-Covariant Dynamics in Coherence Geometry: Presymplectic Reduction, Mapping-Space Evolution, and Observable Descent<\/em>&nbsp;(Version 1.0). Coherence Geometry Institute. Zenodo.<br><a href=\"https:\/\/doi.org\/10.5281\/zenodo.23040342\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.23040342<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Petersen, B. L. (2026).&nbsp;<em>Coherence Geometry Foundations, Volume II: Source Curvature, Book II: Projection Archetypes and Structural Realizations<\/em>&nbsp;(Version 0.1). Coherence Geometry Institute. Zenodo.<br><a href=\"https:\/\/doi.org\/10.5281\/zenodo.23057738\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.23057738<\/a><\/p>\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>CGI-RSR-000043 | 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.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_kad_post_classname":"","footnotes":""},"categories":[31,88],"tags":[],"class_list":["post-4588","post","type-post","status-publish","format-standard","hentry","category-physics","category-fire-dynamics"],"_links":{"self":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/4588","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/comments?post=4588"}],"version-history":[{"count":3,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/4588\/revisions"}],"predecessor-version":[{"id":4598,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/4588\/revisions\/4598"}],"wp:attachment":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/media?parent=4588"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/categories?post=4588"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/tags?post=4588"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}