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[Superseded by #702] Wrapping dictionary — false conjecture and obstruction dependencies removed - #693

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[Superseded by #702] Wrapping dictionary — false conjecture and obstruction dependencies removed#693
LightChainr wants to merge 1 commit into
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issue-686-dictionary

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@LightChainr LightChainr commented Sep 8, 2026

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Superseded on 2026-09-12 by merged #702

The original 16-row compilation propagated two invalid arguments: #690's symplectic-orthogonal calculation and #675's blanket one-operator impossibility claim. The corrected authoritative argument is notes/exact-foundations-correction-20260912.md on main.

On every honest torus in the digital-Alexander scope, rank-one A satisfies A^perp=A. The same-axis and spiral label map, allowed five-cell support, pointwise spiral cancellation, and D=r_b-1 therefore need no directional conjecture. Finite probability and spectral objects must be distinguished, but their different descriptions do not prove that no single operator can represent the probabilities.

Closing this summary-only draft rather than merging incorrect classifications. Its original note and cited data remain on the head branch and in Git history. This does not claim to prove the separate diamond onset/plug conjecture of #673/#692 or the cylinder bridge in #681. No new census is commissioned.

…rm A' after #673/#677/#679

Read-only synthesis: 16-row table with theorem / census-only / OPEN verdicts,
each quoting the carrying PR (#668 #675 #676 #683 #684 #690 #691 #692).
Includes #692's kill of diamond d0(2L)=4*C(2L,4) in favour of L*C(2L,L).
No new census, no L=5 joint, #636 not funded, no STATUS.

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Verification comment, not a merge request. Ticket stays open.

Notes-only, no census, no STATUS, #636 not funded. Table matches the carrying PRs: #692 kill of 4·C(2L,4) is recorded; Conjecture 3.1 is correctly the hinge for five-cell / x↔x / all-L label map. Rank-sum and none↔cross stay theorems. Diamond b×n onset stays OPEN.

Do not close #686 or the source tickets.

@LightChainr LightChainr changed the title [P1 long-horizon] One dictionary note: theorem vs census for wrapping-form A' after #673/#677/#679 (#686) [Superseded by #702] Wrapping dictionary — false conjecture and obstruction dependencies removed Sep 12, 2026
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