33.51 turns static-hole candidates into a tightening court: after matter-distribution subtraction, dual weak-lensing reconstruction, redshift tomography, and co-spatial multi-band counterpart auditing, a region must show the paired fingerprint of a diverging-lens core—negative κ with radial-shear dominance—plus a stable Tension Wall shell ring, quiet-zone consistency inside the ring, and any co-located frequency-insensitive slow-response residual, all of which must replicate across source layers and pipelines and collapse under random recentering, rotation, mask, and PSF nulls; under V07/V08-compatible tighten, this remains only a static-hole candidate / extreme Sea State ledger rather than a static-hole ontology verdict.
Use this section as a compact machine-readable EFT reference.
33.51 refuses to identify a static hole by darkness alone. In the source logic, a static hole is an extreme low-tension or looser Sea State anomaly, not merely a patch with less matter or less emission. The admissible court object is therefore paired and geometric: after ordinary matter-distribution effects and observational systematics are stripped, one region must show a diverging-lens core together with a Tension Wall shell, rather than merely looking empty or quiet.
The fingerprint has four linked readouts. D grades the central negative-convergence dip and the dominance of radial over tangential shear. R grades the shell itself through ring radius, width, strength, and any reproducible shear sign or orientation transition. S grades quiet-zone consistency inside the same ring with at least two co-spatial tracers from galaxy density, hot-gas observables, or diffuse non-thermal emission. T grades any frequency-insensitive slow-response residual that co-locates with the ring. The court does not demand a perfectly empty interior; it demands that lensing geometry, shell structure, and quieter interior terrain agree in the same place and window.
Execution keeps the candidate story narrow and auditable. Regions are prescreened from convergence and shear maps, then rebuilt with at least two independent datasets or pipelines so that shape-measurement, mask, or PSF choices cannot secretly define the object. Background sources are stratified by redshift and the paired morphology must stay put across layers; counterpart quietness is compared inside and outside the ring using matched depths and co-spatial apertures; and prediction cards preregister central strength, allowed ring-radius ranges, ring-width thresholds, quietness criteria, and exclusion rules before counterpart and slow-response checks are unblinded.
The nulls separate a true paired fingerprint from ordinary structures and analysis artifacts. Ordinary converging lenses should show positive convergence and tangential shear, while ordinary voids may show only a weaker diverging trend without a sharp shell. Random sky rotation and random recentering must substantially weaken any candidate ring, mask and selection-function perturbations must not drag the inferred radius with mask edges, and inconsistency across redshift layers counts as an exclusion signal rather than a detail to explain away. These controls ensure that the chapter is not just rediscovering lenses, voids, or map-construction artifacts under a new name.
The support line requires paired replication, not isolated hints. At least two independent lensing reconstructions or pipelines and at least two source-redshift layers must recover the same central divergence with negative κ and radial-shear dominance together with a stable ring-like shell boundary, while multi-band counterparts inside the ring show a consistent quieting trend and random-rotation or recentering nulls weaken the structure. Falsification is immediate if the core or ring is sensitive to pipeline, mask, or PSF choices, if only one member of the pair appears, or if the interior instead shows ordinary strong activity. The named systematics—shape measurement and PSF residuals, source-layer leakage, and non-co-located counterpart comparisons—remain active adversaries throughout.
So 33.51 closes one static-hole candidate court and nothing larger. If a diverging-lens core, a Tension Wall shell, quiet-zone consistency, and any slow-response indicator survive dual reconstruction, tomography, and null pressure, V33 keeps one static-hole candidate / extreme Sea State ledger with public prediction cards and ring summaries. But that ledger remains protocol-layer only: it cannot certify static-hole ontology, erase the difference between ordinary voids and static holes, or let one sky region stand in for a universal EFT terrain verdict. Its cleanest onward value is to hand a stricter candidate screen to the merger-timeline and particle bridges.