The exact fourth-vector feasibility wall of the canonical MUB triple in dimension six
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Published June 13, 2026
| Version v1.1
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The exact fourth-vector feasibility wall of the canonical MUB triple in dimension six
Authors/Creators
Erlwein, Noah
Description
This record contains a paper and runnable verification bundle proving an exact fourth-vector feasibility wall for the canonical product MUB triple in dimension six.
***The result does not solve MUB(6)****
It quantifies the pinned canonical triple exactly:
The exact value is max_v f(v) = (88 + 3*sqrt(6)) / 100, approximately 0.953484692283495.
where f(v)=1f(v)=1f(v)=1 exactly characterizes a vector unbiased to all three bases of the triple. The matching global upper bound is certified by an exact PSD/Veronese certificate and deterministic symmetry closure over the triple’s 432-element symmetry group, with no randomized or floating-point step in the proof path.
Start with 00_README.pdf, which is set as the preview/front door. It states the scope, theorem, non-claims, quick verification commands, and useful community checks. The deposit also includes the full manuscript, the complete verification bundle, README.md, VERIFYING.md, SHA256SUMS, and citation/license metadata.
Core verification path:
sha256sum -c SHA256SUMS<br>make verify-global<br>python3 python/mub6_d6_wall_attainment_exact.py<br>python3 python/mub6_d6_wall_local_certificate.py<br>cd lean && lake build Mub6Lemmas
The invitation is not “believe this.” The invitation is: run it, break it, route it, and help map the rest of the MUB6 wall.
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00_README.pdf
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CITATION.pdf
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mub6-wall-artifacts-v1.zip
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mub6-wall-paper-v1.pdf
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VERIFYING.pdf
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DOI
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DOI
10.5281/zenodo.20682233
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[](https://doi.org/10.5281/zenodo.20682233)
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Resource type<br>Publication
Publisher<br>Zenodo
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Creative Commons Attribution 4.0 International
The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited.
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Copyright © 2026 Noah Erlwein Licensed under CC BY 4.0
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Created
June 13, 2026
Modified
June 13, 2026
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