Geometric Flow manuscript v1.2.12

Geometric Flow manuscript v1.2.12

This release archives the independently reviewed manuscript v1.2.12 and its self-contained LaTeX source package.

Manuscript v1.2.12 incorporates the recorded v1.2.9 errata and subsequent textual clarifications into a self-contained recommended reading version. It does not change the mathematical conclusions, theorem-bearing constants, frozen certificates, or the v0.7.4 + v0.9.3 theorem boundary.

No Arb rerun was performed or required. GLOBAL_FLOW_CLAIMED=false.

Frozen assets

• geometric_flow_v1_2_12_freeze_candidate.pdf
  • SHA-256: 8f431f83aba4714b9895c3e94e10b24152dc6154e2d65792687ef4b6ced87768
• geometric_flow_v1_2_12_source.zip
  • SHA-256: 2a2e6f0135ee2b53f0d022eb506c87aff4885e94a592c4f4ec8e7bdceb4f5d5b
• SOURCE_MANIFEST.md inside the source ZIP
  • SHA-256: fac13564730834b3f00323f8924415097228454889534299fee5616de42611ce

The source archive contains the complete manuscript source, build instructions, and source manifest. A clean build uses three pdflatex passes and produces 20 A4 pages, displayed equations (1)–(37), references [1]–[18], and no undefined-reference, rerun, overfull, or underfull warnings.

Scientific boundary

The theorem-bearing software boundary remains:

• v0.7.4 complete-parent-box geometry and strict-descent certificate;
• v0.9.3 intrinsic local-ODE existence, uniqueness, exact-response-preservation, and strict-descent certificate.

This release does not claim complete-child traversal, complete-atlas continuation, long-time existence, hardware validation, or a global response-fibre flow.

Historical version

The frozen v1.2.9 assets, erratum, tag paper-local-ode-v1.5, and Zenodo version DOI 10.5281/zenodo.21882158 remain immutable historical records.

Geometric Flow manuscript v1.2.9

Geometric Flow manuscript v1.2.9

This release archives the independently reviewed manuscript:

Computation as Geometric Flow: An Arb-Certified Local Intrinsic ODE on a Quantum-Control Response Fibre

Manuscript

• Version: v1.2.9
• Pages: 19
• Last equation: (37)
• References: [1]–[18]
• Review status: PASS

Frozen assets

• geometric_flow_v1_2_9_freeze_candidate.pdf
  • SHA-256:
    1755b3ac6ea6f2efb5115a4b54591083cfbe57a1738b9dac1ca34e211d5760b7
• geometric_flow_v1_2_9_source.zip
  • SHA-256:
    6c6d842c8ca6a31631cee3f83e42f52d8accabe34950d8c8683ce457b35b713a

Reproducibility

• self-contained LaTeX source package
• three-pass clean pdflatex build
• 15/15 source-file hashes verified
• repository checksums verified
• published-paper boundary checker: PASS
• theorem-bearing certificate boundary remains v0.9.3
• no Arb certificate rerun
• GLOBAL_FLOW_CLAIMED=false

Scientific boundary

The certified theorem is local. This release does not claim a global response-fibre flow or global continuation.

Geometric-Flow local intrinsic ODE manuscript v1.4

Matching LaTeX source archive:

docs/manuscript/geometric_flow_submission_candidate_v1.1.1_parameter_erratum_final_source.zip
SHA-256: 0c1eb8b3a881e6b0e0fdf466ed84bbaa603b7c9f5257e7745a27da0adc3473cb

Verification

The final release boundary passed:

• structural-checks;
• reproduce-validated-ode #47;
• reproduce-joint-geometric-flow #47;
• repository manifest verification: 171/171;
• published-paper boundary verification;
• independent PDF/source consistency review.

Scientific integrity

This release does not modify:

• the theorem-bearing v0.7.4 or v0.9.3 source;
• backend inputs or the corrected atlas;
• frozen protocols, reports or certificates;
• numerical constants or validation thresholds.

Historical manuscript and intermediate-source artifacts remain preserved for auditability.

v0.9.3 — Validated Intrinsic Response-Fibre ODE Microstep

v0.9.3 — Validated intrinsic response-fibre ODE microstep

Release result

The frozen reference run reports
VALIDATED_INTRINSIC_RESPONSE_FIBRE_ODE_MICROSTEP_CERTIFIED with every
predeclared gate passing.

For one local microstep of duration $10^{-14}$ near child 15, the certificate
establishes ODE existence and uniqueness, exact preservation of the matched
response, and

$$ \frac{dL_6}{dt}\le-0.6419529191591549<0. $$

Reproducibility identifiers

• v0.9.3 source:
  3be3e07146ff0e505f08bae7bd0ec7f2895955f2540647fea3278fdba51db79c
• protocol:
  6d0aaefabd71f1d2986515ed84673f0083ae90d0344b9a1e92d7697ac08d061a
• corrected atlas:
  c02acc1c76e0b670793340150d1a875fdc373e0ac7c46d3360a7824b66a3a5ef
• frozen v0.7.4 backend:
  1f71c4918d1cd1d6c45dc0da4a7358e176baac9116c8f71f4a949a6d657520f8

Boundary

This release validates one microscopic local ODE step. It does not validate a
complete child, the ten-chart atlas, arbitrary endpoint connection, or a
global geometric flow.

v0.7.4-r1 — Artifact-hardening release

This release does not change the scientific model, source algorithm, proof domain, or claim scope of v0.7.4. It adds the complete reference protocol, certificate, and report, strengthens fail-closed verification, and synchronizes the reported bounds with the archived machine output.

The original theorem-bearing v0.7.4 tag remains frozen at 93ae0e3. This r1 release points to the artifact-hardening commit series on main and should be used for the complete certificate-chain artifact.

Key archived values from the complete frozen reference report:

• maximum right-inverse defect upper bound: 0.1299344388400178
• minimum alignment scale: 0.6530911830790997
• maximum parallel relative residual upper bound: 0.008935710125297152
• minimum alignment cosine lower bound: 0.9999600757453052
• certificate SHA-256: ed302725c03b66f2bbe7363e901842f07790bd895b4cf95261ebe3d172d400f9

v0.7.4 — Frozen Local Descent Release

v0.7.4 — Frozen Local Descent Release

This is the frozen research-software release for Computation as Geometric Flow: Projective-Jet Filtration and Arb-Certified Local Descent.

Scientific status:

• FORMAL_ARB_ORIENTED_DESCENT_CERTIFIED_ALIGNMENT_INCONCLUSIVE
• Stage A certifies local strict descent on one complete serialized 1/64 parent box covered by 16 exact child boxes.
• The certified derivative is with respect to the local Chebyshev coordinate s: dL6/ds <= -0.6530784697700559 < 0.
• The KKT-witness alignment gate remains fail-closed and is not claimed.
• No validated ODE theorem, complete ten-chart flow theorem, global fibre theorem, holonomy claim, cloud claim, QPU claim, or neural-network claim is made.

Verification:

python tools/verify_release.py
shasum -a 256 -c SHA256SUMS.txt
python -m compileall -q src tools

Source ZIP SHA-256:

22fd4501c08649663dd4c47fe551516f7e8a489b1fcd7b07af4cbf3af492f30d  Geometric-Flow-v0.7.4-source.zip

The 1.0 tag is a legacy tag from a different repository state. For this release, cite v0.7.4 or commit 93ae0e3f.