Dual rent
It separates a seam's effect on reachable physical futures from its effect on what an observer can distinguish.
Choose a reading path
Reflowable browser edition
Start with the public reading
The browser companion explains the dual-rent criterion, seven calibration cases, the local-to-global certificate stack, the recent higher-dimensional Jacobian result, and the bounded prime-difference computation in a form that reflows on narrow screens.
Complete paper and reproducibility package
The PDFs preserve the authored layout. The full archive contains source, claim and source ledgers, exact arithmetic replay code, tests, figures, manifests, and disclosed reconstruction limits. Use the consolidated download and verification map below.
Accessibility statement
All four release PDFs are tagged, text based, searchable, and use embedded fonts; the main paper also contains bookmarks, links, and figure alternatives. The four PDFs are not claimed to conform to PDF/UA or to be fully accessible. Known limitations include incomplete semantic heading and table structure, non-semantic mathematics, very small fixed-layout text in some compact documents, insufficient contrast in some branded and diagram text, and a print-only rather than interactive audit form.
These browser pages are the primary reflowable path for the compact public reading and worksheet. They use semantic headings, native controls, described tables, accessible mathematical text, strong contrast, keyboard focus, and print styles. They are not a line-by-line HTML transcription of the 171-page paper.
The supplied verification report is an internal package and release report. Its successful checks establish stated integrity, replay, source-metadata, and rendering properties within their declared scope; they are not independent peer review, external scientific endorsement, or replication of every cited experiment.
Report a reading or accessibility problem after removing secrets, private paths, account details, and non-public data.
What v0.3.0 adds
Equifinality triad
It distinguishes different histories reaching one state, different states becoming one record, and boundaries that amplify a diagnostic difference.
Local-to-global certificates
It asks whether a local response has complete fibers, closure at infinity, arithmetic support, and deterministic replay before promotion to a global claim.
Arithmetic seam laboratory
It replays an explicit three-variable Keller map, prime reductions, an Artin-Schreier finite-difference identity, and a strictly bounded perfect-power search.
Guardrail: shared inverse-problem structure does not establish one shared hidden physical mechanism. The seven scientific cases are calibration cases, not evidence of directed seeding, a separate insertion of humans, a completed off-world biosphere, or an ancient industrial system.
Downloads, verification, and release records
| Component | Use and boundary |
|---|---|
| Ground-reading companion | Reflowable public summary with definitions, source links, mathematical limits, and explicit evidence boundaries; a compact two-page PDF preserves the fixed layout. |
| Audit worksheet | Accessible browser worksheet with no submission or storage code; a one-page PDF is available for printing. |
| Main paper PDF | The complete 171-page authored working paper. Use the release archive for its source, figures, ledgers, and build materials. |
| Verification report PDF | Internal release evidence with 24 PASS and 2 PARTIAL gates. It explicitly discloses source-byte and reconstruction caveats. |
| Post-publication errata | Corrects documentation about the PDF-level AI disclosure and the internal v0.2.1 predecessor without changing immutable release bytes. |
| Release records | Release-time publication audit, archived release body, font and license notices, and payload checksums. |
| Immutable GitHub release | Canonical tag, release assets, checksum sidecars, and the 35,343,563-byte reproducibility archive. |
A successful package gate is scoped to the property that gate tests. It does not transfer scientific authority to unrelated claims.
Archive identity
- Archive filename
ASTRA_Framework_v0.3.0_Dual_Rent_Arithmetic_Seams.zip- Archive size
- 35,343,563 bytes
- SHA-256
b2a1072c14f1afff43a161b57620cdd2f6ad19b03884e7b5d8fbdd023333e09d
The normalized verification sidecar records 341 members, no duplicate or unsafe paths, no symlinks, exact manifest coverage, and no internal hash mismatches. The supplier's original candidate archive had SHA-256 2f8c26c92826c0464ae88048d9c3e68a4404ee5d9b8f46a660a0733ccddd75ab; the publication audit identifies every normalization class and confirms that the four authored PDFs retain their original bytes. Verify downloads against the release sidecars before relying on them.
Citation
The repository-level CITATION.cff describes the core SPPT/ASTRA v1.0.7 reference release, not this supplemental publication.
Jacko T. (2026). Earth Is the Instrument: Dual-Rent Seams, Prime Spectra, Local-to-Global Certificates, Geological Memory, and the Search for Human Origins. ASTRA Framework v0.3.0. GitHub. https://github.com/jkolantree/astra/releases/tag/earth-instrument-framework-v0.3.0
Name, assistance, independence, and responsibility
ASTRA is the project's own acronym for Astronomical State-Topology and Reservoir Analysis. This independent framework was developed by Jacko T. with substantive assistance from OpenAI's ChatGPT, including literature organization, adversarial review, equation checking, code drafting, visual design, editing, document production, accessibility review, and release engineering. Jacko T. selected the questions and final wording, reviewed and approved the released work, and remains responsible for its sources, claims, interpretations, errors, omissions, code, and publication decisions. Model output is not a citation, experiment, proof, independent verification, peer review, or scientific evidence; the evidentiary basis is the cited literature, declared calculations, data, tests, and bounded certificates.
The name ASTRA draws inspiration from the Kansas state motto, Ad Astra Per Aspera - "To the Stars Through Difficulties", and from OpenAI's 1 August 2026 public description of an internal version of Astra as "our next major model". These are dated naming references only; they do not claim a product launch, release timing, priority, affiliation, or endorsement.
ASTRA is not affiliated with, sponsored by, endorsed by, reviewed by, operated by, or produced for OpenAI or the State of Kansas; use of ChatGPT does not imply OpenAI endorsement. These references are descriptive acknowledgments only. This publication neither claims nor contests exclusive rights in the word Astra and places no restriction on unrelated uses. The "ASTRA Coherence Cell" named in the paper is Jacko T.'s role-based review architecture, not a separate institution, employer, committee, or roster of external reviewers.
The main framework PDF discloses language-model assistance and authorial responsibility on its Document status page. The three compact companion PDFs do not carry that disclosure; this release-level acknowledgment supplies the shared provenance and responsibility statement for the package as a whole. The post-publication errata record this correction without changing authored PDF or manuscript-source bytes.
The package declares its text and original figures under CC BY 4.0 and its source code under MIT. Third-party citations remain under their respective rights. No cited researcher, institution, discipline, or publisher is represented as having reviewed or endorsed ASTRA.
Authorial responsibility for claims, interpretations, errors, and release decisions remains with Jacko T.