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OMEGA NAUGHT

Specified objects. Explicit maps. Reconstructible results.

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Source works

Eight source works: seven Zenodo preprints and one Zenodo report. Paper V is the report; Papers I–IV, VI, VII, and paper 8 are preprints. A reserved manuscript is not a ninth work.

Not peer reviewed. Independent third-party reproduction: none recorded. The 26 October 2026 assessment “OMEGA NAUGHT — Full assessment and a stronger 360-bit joint witness,” revision 2.0, is unpublished and pending the author’s revision. The author-reported reserved DOI 10.5281/zenodo.23688676 is not an issued publication, not a resolving deposit, and not the DOI of this website. No publication date is recorded for it.

Publication and scope details

Paper VII is version 1.6 at DOI 10.5281/zenodo.22233573. paper 8 is a Zenodo preprint at /papers/8 (Arabic numeral on purpose, not Paper VIII), DOI 10.5281/zenodo.22848213. Companion ZIP hosted; this-archive Python replay is not independent reproduction.The archive makes no blanket claim of novelty, priority, peer review, or independent validation. Some displayed identities are standard or definitional and are included to make the computational specification self-contained. Any claim of originality must concern a specifically stated formulation or derived result and must be evaluated separately against the relevant prior literature. An internal Omega/JPRV terminology draft, revision 5, is not listed as a source work. The July 2026 Omega-Alpha synthesis is a locally hosted historical consolidation and is likewise not a source work.

  • Papers I–II. Quantized and rational-floor dynamics.
  • Papers IV and VI. Icosahedral sampling and cubature.
  • Paper V. Ω₀ reference mathematics.
  • Paper VII. Construction-to-curve theorem for a one-arcsecond seed with bilateral golden extensions; complete center-angular fan; exact R³ realization; adopted metric outer scaffold. Remaining notebook curves and signed-depth completion are not claimed.
  • Paper III. Frozen external SRSD audit instrument.
  • Evidence layer. Certificates, manifests, hashes, and runtimes.

Complete BibTeX · CITATION.cff

  1. Paper I

    Newman's Quantized Omega Contraction Theorem

    Newman, Matthew Alan (2026-08-07).

    DOI: 10.5281/zenodo.21830284 — all versions; resolves to the latest version.

    Version: v1, Zenodo record 21830285.

    Version record: https://zenodo.org/records/21830285

    Zenodo also lists version DOI 10.5281/zenodo.21830285, whose resolver is currently unavailable.

    Exact contraction map, integer/rational representation, and parameter intervals for the quantized dynamics.

    Publication: Zenodo preprint. Peer review: not peer reviewed.

    Local PDF: /papers/Newman_Annals_Submission_Redrafted_DOI_21830285.pdf

  2. Paper II

    Ordered Euclidean Remainders for Exact Orbit Reconstruction and Parameter Intervals in Rational Floor Maps

    Newman, Matthew Alan (2026-08-09).

    DOI: 10.5281/zenodo.21843485

    Quotient and remainder data, forward and reverse reconstruction, finite-domain agreement and first-disagreement boundaries.

    Publication: Zenodo preprint. Peer review: not peer reviewed.

  3. Paper III

    Scale-Resolved State Dynamics: Foundational Closure Specification

    Newman, Matthew Alan (2026-08-14).

    DOI: 10.5281/zenodo.21927248

    Frozen SRSD v1.0, used as an external arithmetic and resolution-audit instrument. Encoder/decoder, residual fiber, carry, and reconstruction. Not the foundation of a combined G₆ theorem. Foundational closure means internal sufficiency of the frozen v1.0 specification, not invention of division with remainder or a new foundation for mathematics.

    Publication: Zenodo preprint. Peer review: not peer reviewed.

  4. Paper IV

    Radial Icosahedral Sampling and Its First Harmonic Obstruction: Exact degree-six activation and Euler–Maclaurin coefficients

    Newman, Matthew Alan (2026-08-20).

    DOI: 10.5281/zenodo.22033917

    Every complete radial Class-I grid is a spherical five-design. The limiting equal-weight sampling measure differs from uniform spherical area first at harmonic degree six. Paper IV also gives finite-frequency computations and an asymptotic expansion for the degree-six moment.

    Publication: Zenodo preprint. Peer review: not peer reviewed.

  5. Paper V

    OMEGA NAUGHT Ω₀

    Newman, Matthew Alan (2026-08-21).

    DOI: 10.5281/zenodo.22048540

    Definitions, exact identities, field relations, normalization, scaling, and representations associated with Ω₀ = φ + π.

    Publication: Zenodo report. Peer review: not peer reviewed.

  6. Paper VI

    Exact Positive Icosahedral Cubature on Fixed Radial Class-I Grids: Quadratic-Field Interoperability, Exact Replay, and Typed Compatibility with Papers I–V

    Newman, Matthew Alan (2026-08-23).

    DOI: 10.5281/zenodo.22068873

    Positive H₃-orbit-constant cubature on fixed Class-I grids for 1 ≤ f ≤ 9. Typed compatibility with Papers I–V is interoperability, not logical dependence. Document version 1.3 is distinct from Zenodo deposit version 1.

    Publication: Zenodo preprint. Peer review: not peer reviewed.

    Local PDF: /papers/Exact_Positive_Icosahedral_Cubature_Integrated_Preprint_v1.3.pdf

  7. Paper VII

    OMEGA Marked Reference Geometry: Construction-to-Curve Theorem for a One-Arcsecond Circular Seed with Bilateral Golden Extensions

    Newman, Matthew Alan (2026-09-01).

    DOI: 10.5281/zenodo.22233573 — this version.

    Concept DOI: 10.5281/zenodo.22233572 — all versions; resolves to the latest version.

    Version: 1.6, Zenodo record 22233573.

    Dates: Zenodo publication-date field 1 September 2026; manuscript cover and record-creation timestamp 2 September 2026. Those are different events and are not treated as interchangeable.

    Version record: https://zenodo.org/records/22233573

    Construction-to-curve theorem: a one-arcsecond circular seed with sequential bilateral a, aφ extensions determines a unique marked OMEGA kernel. Existence, uniqueness, exact characterization, and rigid-motion uniqueness. Complete six-ray center-angular fan; Gram rank two with factorization G = c² 1 1ᵀ + z zᵀ; exact oriented realization in R³. Metric outer scaffold is an adopted transcription of the notebook annotations. Remaining outer curves and signed-depth completion are not claimed.

    Publication: Zenodo preprint. Peer review: not peer reviewed.

    Local PDF: /papers/OMEGA_Paper_VII_v1.6.0.pdf

  8. paper 8

    Exact Arithmetic Certification of Geometric Reconstruction and Transport

    Newman, Matthew Alan (2026-09-19).

    Zenodo preprint 10.5281/zenodo.22848213. Companion ZIP hosted. This-archive checker replay PASS. Not peer reviewed.

    Representation and interpretation theorems connecting exact remainder certificates, marked-scale recovery, first floor disagreement, fibers, a homothety/Hausdorff identity, twelve-node degree-five cubature with an exact degree-six obstruction, and a localized forced incompressible realization of a stated deformation family. Site label is paper 8. The manuscript heading says Paper VIII. Zenodo preprint version 1.0, retrieved 19 September 2026.

    Publication: Zenodo preprint. Peer review: not peer reviewed.

    Local PDF: /papers/OMEGA_Paper_VIII_Final.pdf

Related locally hosted packages

These are not source papers. They do not enlarge the source works.