{
  "id": "oai:papers.qnfo.org:stability",
  "slug": "stability",
  "title": "Stability Compiler",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
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  "abstract": "The modeling of fundamental entities as zero-dimensional points creates singularities across physics and network engineering. Current regularization methods like renormalization are procedural patches that fail to explain the origin of finite scales. This paper introduces the topological extension framework (TEF), modeling entities as finite-volume stable modes of non-linear evolution equations. We map the screening mechanisms of cosmological chameleon fields to the route flap damping protocols of interdomain routing. The analysis reveals a structural isomorphism where stability is maintained by a conserved topological charge and environmental coupling. Unlike linear point-source models, the TEF predicts finite interaction ranges and convergence times without ad-hoc subtractions. This establishes a dynamic-modal ontology where physical particles and abstract routes are unified as topologically protected attractors.",
  "abstract_markdown": "The modeling of fundamental entities as zero-dimensional points creates singularities across physics and network engineering. Current regularization methods like renormalization are procedural patches that fail to explain the origin of finite scales. This paper introduces the topological extension framework (TEF), modeling entities as finite-volume stable modes of non-linear evolution equations. We map the screening mechanisms of cosmological chameleon fields to the route flap damping protocols of interdomain routing. The analysis reveals a structural isomorphism where stability is maintained by a conserved topological charge and environmental coupling. Unlike linear point-source models, the TEF predicts finite interaction ranges and convergence times without ad-hoc subtractions. This establishes a dynamic-modal ontology where physical particles and abstract routes are unified as topologically protected attractors.",
  "date": "2026-01-01",
  "first_published": "2026-01-01",
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        "description": "The modeling of fundamental entities as zero-dimensional points creates singularities across physics and network engineering. Current regularization methods like renormalization are procedural patches that fail to explain the origin of finite scales. This paper introduces the topological extension framework (TEF), modeling entities as finite-volume stable modes of non-linear evolution equations. We map the screening mechanisms of cosmological chameleon fields to the route flap damping protocols of interdomain routing. The analysis reveals a structural isomorphism where stability is maintained by a conserved topological charge and environmental coupling. Unlike linear point-source models, the TEF predicts finite interaction ranges and convergence times without ad-hoc subtractions. This establishes a dynamic-modal ontology where physical particles and abstract routes are unified as topologically protected attractors.",
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