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.