research(m15): amend exp_06 outcomes — Xi-unification demoted from declarative to registered-open conjecture

Adversarial panel review (2026-07-17) caught a declarative leak in the
Consequences section: 'same object under two boundary twists' asserted
what is an open conjecture conflating three distinct Z2 candidates and
p-hat with p-hat-squared. Amended to conditional with the cutoff
arithmetic on record: 1+pi/55 = 3/(2N*) exactly at non-integer
N*=3F10/2pi=26.2606; integer-N spectral ratio tends to 1. The
registrable question is stated. Own-draft fix on the unmerged branch,
disclosed here.

Author: pgroom2

foundational/experiments/milestone15/journals/2026-07-17_m15-exp06-outcomes.md

@@ -44,8 +44,19 @@ reconciles: SEC-local / PAC-global in exact miniature).
   candidate: ledger density ↔ momentum-density of the frame bundle. The
   Ξ = 1 + π/55 derivation in `arithmetic/PACEngine/modules/pac_sec_unification.py`
   (ratio of p̂² spectra, periodic n² vs anti-periodic (n+½)²) becomes directly
-  registrable against this operator — the balance constant and the connection
-  generator are the same object under two boundary twists.
+  registrable against this operator. **Registered direction, NOT a claim**
+  (amended 2026-07-17, second pass, after adversarial panel review): whether
+  the balance constant and this connection generator are the same object under
+  two boundary twists is an OPEN conjecture conflating three distinct ℤ₂
+  candidates (parity selection rule, C₆ = −I, Möbius anti-periodicity) and a
+  first-order operator (p̂, Dirichlet sine basis) with a second-order spectral
+  ratio (p̂², intact loop). It must survive a cutoff-free test before being
+  asserted — note that 1 + π/55 as computed in that module equals 3/(2N*) at
+  the non-integer cutoff N* = 3F₁₀/2π = 26.2606 exactly, and the integer-N
+  spectral ratio tends to 1 as N → ∞, so the constant is not currently a
+  scale-free invariant of anything. The registrable question is whether a
+  boundary-twist invariant of THIS connection produces π/55 with N fixed by
+  the graph and no external cutoff.
 - The k=2 "reflection-structure mechanism" open thread (exp_04 §4) is
   reframed: the reflections are the parity structure of the momentum matrix.
 - 8/3 = F₆/F₄ stays retired; L_k is algebraic (sums of singular values of a