This directory archives the object of verification — the note that
../keller_quantization_report.md independently verifies — together with its
companion and earlier-draft scripts, so the repository is self-contained.
The report header pins the note and its companion script by SHA-256
(abbreviated there as f2c9aa14…327a6b612 and 09303167…daa453f91). The
files archived here match those pins byte for byte. Full digests:
| File | SHA-256 |
|---|---|
kellermapoperators.md |
f2c9aa1415f6bf094aa95df807031f971cebd84426c9f34656f2877327a6b612 |
fiber_and_escape.py |
0930316714a5720e0c63b582b50b3b5e25654e72b32ad817e408835daa453f91 |
spectrum.py |
2b5dcef64aaefe42a59236aed079986faf7b1751c03fc25c55dfd6942619dcbc |
errata_check.py |
a4c2553933d5974e26b0d4f7d7582e69b5a008fe8abf00fad18a3b19c9c5fb68 |
quantum.py |
7d947702bf2a1fea55bcfcbc38e7f04db14a175a29a7fb89da631e020c2ebf45 |
Re-verify with sha256sum in this directory; the first two are the digests
the report certifies.
kellermapoperators.md— the source note, "A Non-Regular Heisenberg System from the Alpöge Keller Map": the CCR construction from Alpöge's Jacobian-conjecture counterexample, the fiber cubic and wall polynomial L, the Stone–von Neumann failure, and the four open questions the report addresses.fiber_and_escape.py— the note's shipped companion script: exact fiber counts via sign(L) and escape-time prediction along the P′ flows. This is the replacement for the fragile resultant sampler.quantum.py— the note's symbolic verification of its §3 identities (A·DFᵀ = I, Piola divergences, commutator coefficients, intertwining).spectrum.py— the earlier-draft sampler and flow test, preserved as a historical artifact: it contains the exact defects dissected in the note's Appendix A — theabs(r) < 1e-9root discard of erratum A.1 (drops the x₁ = 0 sheet) and the shrinking adaptive step of erratum A.2 (creeps toward the blowup and reports "no escape" from data that does blow up). Do not use it for results; that is the point of keeping it.errata_check.py— the diagnosis script behind Appendix A: recomputes the keystone claims exactly and reproduces, then explains, the earlier draft's wrong numbers (including the seed-11 "n = 2" sample).
Alpöge's map is dated 20 July 2026; the note's literature search is dated 31 July 2026. These files are archived unmodified — any fix or follow-up belongs in the report layer at the repository root, never in edits here, since the hashes above are what the report's verification refers to.