Turns the D0 "likely vacuous" annotation on ADR-0244 §2.3 into a re-runnable proof
that ΔQ_top = 0 is a hollow egress gate (the #19-pseudoscalar failure mode).
evals/adr_0244_qtop_vacuity/ — computes Q_top = <psi I5 ~psi>_0 on the real
Cl(4,1) algebra and finds: (1) Q_top = 0.000e+00 EXACTLY across every unit versor
(spatial rotors AND boosts through e5, and products) — I5 is central so
psi I5 ~psi = I5*(psi ~psi) = I5 for a unit versor, scalar part 0; (2) off the
versor manifold Q_top = -grade5(psi ~psi), nonzero only where the I-05 closure
residual already fires; (3) it is a conserved Spin(4,1) invariant but identically
0 on the valid manifold; (4) the decisive test — an aligned identity and an
adversarially-rotated one (a valid versor, overlap 0.963) both read Q_top = 0, so
ΔQ_top = 0 PASSES the attack the spectral-leakage/closure check actually catches.
Typed JSON artifact + CLI (exit 0 iff proven_vacuous).
tests/test_adr_0244_qtop_vacuity.py — pins each step + off-serving quarantine.
Docs: ADR-0244 §2.3 annotation upgraded "likely vacuous" -> "PROVEN vacuous —
retire from egress"; audit-doc Q4 marked RESOLVED with the evidence.
Verdict: do NOT wire ΔQ_top = 0 as an egress admit condition; keep Q_top, if at
all, as a closure-derived diagnostic. Closes the first of the two ADR-0244 D4
blockers with proof.
[Verification]: qtop eval 8 tests green; CLI proven_vacuous=true; smoke below.
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