FPRD LabShare an approach

Longitude-difference ATTACK evidence

8 September 2026. Supporting research, not a new Publication.

The actual named-longitude nonvanishing gate remains open. The note derives exact shifted degrees and coefficients, supplies a correctly character-twisted family of all-relations functionals, and proves a strict-angle abstract cancellation witness by a finite mixed-sided quantum-torus identity. A necessary incidence inequality proves that witness is not an actual triangulation.

Core files:

  • FPRD-longitude-difference-obstruction-2026-09-08.md: mathematics, proofs, useful failures, and exact actual/abstract boundary.
  • verify-longitude-difference.py: standard-library PBW certificate and independent certified finite-coefficient check.
  • verification-output.txt, exact-results.json: recorded checks and exact Gaussian-integer coefficients.
  • hostile-audit.md: adversarial review of each inference and explicit limits.
  • source-ledger.md, source-snapshots.json: inspected primary-source versions and retained-input hashes.
  • FPRD-research-loop-state.md: proposed replacement handoff.
  • build-release.py, SHA256SUMS.txt, longitude-difference-attack.zip, ARCHIVE-SHA256.txt, archive-validation.txt: reproducibility and integrity.

Use Python 3.10 or newer; no external packages or network access are required for the verifier:

python3 verify-longitude-difference.py
sha256sum -c SHA256SUMS.txt

The finite series check runs through A-degree 16. Its tail bounds come from the proved piecewise degree formulas, not an arbitrary summation box. The finite PBW relation identity proves all-orders cancellation independently of these coefficients. No manifolds, slopes, triangulations, or skein configurations are searched.

python3 build-release.py rebuilds recorded verification, payload hashes, and the archive. The archive excludes itself and the exterior archive reports. Primary full texts are not redistributed. The retained global convergence theorem is cited, not re-proved by the companion script.

Next mode: ATTACK — actual-incidence anti-cancellation. Do not replace this by Publication or a conjecture-counterexample claim. No external mathematical review, author endorsement, or new author contact is implied.