{
  "abstract": "This paper provides a complete non-perturbative axiomatic mathematical formulation of the Morphological Energy Coherence (MCEC-2) framework. We generalize the principles of topological wave stability and dynamic homeostasis by migrating the constitutive equations from structural mechanics to the differential geometry of non-linear dynamical systems on Riemannian manifolds and Banach spaces. We prove three foundational theorems of micro-regularity: first, the construction of a topological dissipation functional driven by a pseudo-differential metric latency operator, regulated by a Hodge-de Rham spectral eigenvalue; second, the uniform invariance of the spectral Rayleigh quotient under a harmonic stationarity limit condition, establishing the exact algebraic cancellation of the inertial mass coordinate through the four-dimensional conformal symmetry of the Hodge star operator; third, the compactness of the flow boundary resolvent on the codimension boundary submanifolds, driving the algebraic collapse of boundary extension areas. This coordinate-free formulation proves that the smooth manifold acts as a self-organizing morphological processor, suppressing singular energy accumulation and establishing total wave transparency.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Piergiuseppe Chianura"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4se7r1p994108.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23530005",
  "fulltext_url": null,
  "id": "4se7r1p994108",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23530005",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23530005/files/GEOMETRIC%20ARCHITECTURE%20OF%20WAVE%20HOMEOSTASIS.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4se7r1p994108.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T12:21:14Z",
      "native_id": "23530005",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23530005"
    }
  ],
  "subjects": [],
  "title": "GEOMETRIC ARCHITECTURE OF WAVE HOMEOSTASIS: AXIOMATIC TRANSLATION OF THE MCEC MODEL INTO DYNAMICAL SYSTEMS THEORY",
  "title_text": "GEOMETRIC ARCHITECTURE OF WAVE HOMEOSTASIS: AXIOMATIC TRANSLATION OF THE MCEC MODEL INTO DYNAMICAL SYSTEMS THEORY",
  "type": "preprint",
  "updated_at": "2026-11-04T12:21:14Z",
  "url": "https://research.draconitic.com/paper/4se7r1p994108",
  "venue": "Zenodo",
  "versions": []
}