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The exact fourth-vector feasibility wall of the canonical...
Erlwein, Noah · 2026-06-14 · via Show HN

Published June 13, 2026 | Version v1.1

Publication Open

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:

The invitation is not “believe this.” The invitation is: run it, break it, route it, and help map the rest of the MUB6 wall.

Files

00_README.pdf

Files (88.2 MB)