CHC-BH-VP0 Compact-Object Diagnostic Gates: Public EHT Morphology/Polarization Surfaces and GWOSC Remnant/Response Surfaces

The companion record is attached to the BH1/BH2 compact-object pair. BH1 owns the accessibility-boundary interpretation of black-hole horizons on stationary or adiabatically evolving exterior domains. BH2 owns return-facing response kernels and threshold diagnostics on declared black-hole-side response domains. The companion record supplies bounded public-data diagnostic surfaces for those two papers: center 1.16

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center The shared label $\BHdiag$TeX\BHdiag means that both analyses have reached public-data-backed diagnostic surfaces while remaining below paper-grade compact-object closure.

The EHT analysis is anchored to public EHT releases. The Event Horizon Telescope 2017 public release provides VLBI 1-mm observations whose stated goals include event-horizon-scale imaging of M87* and Sagittarius A* and high-resolution imaging of OJ287, 3C279, Cen A, and NGC1052 [citation]. The EHT 2018 public release provides additional public release packages through the ALMA Science Portal and CyVerse Data Commons [citation]. Public M87* polarimetric release surfaces are also available through the EHT public data portal and associated EHT polarimetric analyses [citation].

The GWOSC analysis is anchored to GWTC-3 public products. The GWOSC Event API lists GWTC-3 confident and marginal events, and confident events are defined by the public catalog criteria of the release page [citation]. Event-version pages expose event identifiers, GPS/UTC times, DOI, strain-file links, posterior/sample links where available, data-quality/timeline links, and public event quantities such as FAR, SNR, $p_{\rm astro}$TeXp_{\rm astro}, final mass, and final spin [citation]. GWOSC public-data documentation describes the open-data event portal and its strain, segment, confidence, parameter, posterior, and localization products [citation].

The public record is identified by companion source summaries that specify the source surfaces, retained derivatives, and non-claim boundary: center 1.10

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The compact public-source summary records retained public-source identities and derivative roles in the companion source summary. The two dominant retained public sources are the official M87* EHT target release surface and an extracted FITS member. Their public source is retained in the companion source summary and is not used to strengthen the manuscript claim beyond the stated diagnostic classification.

Direct target product and retained morphology surrogate

The direct EHT route used one official M87* target product and retained an extracted FITS member. Retained processing produced visibility-entry probes, dirty-image-style entry probes, ehtim dirty-image and Gaussian-proxy outputs, canonical-Obsdata-style translation, self-calibration follow-ons, and closure-phase-plus-amplitude regularized imaging follow-ons. The strongest local morphology-surrogate surface is the following compact-core elliptical-Gaussian family: center 1.12

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center The retained surrogate surface is internally stable across the retained processing paths, with major-axis range 82.287--83.582$\uas$TeX\uas, minor-axis range 16.488--20.820$\uas$TeX\uas, axis-ratio range 3.952--5.069, and flux range 0.032304--0.032600 Jy. This is a morphology-adjacent diagnostic surface, not a calibrated ring-diameter or image-domain asymmetry result.

Public calibrated Stokes-I surfaces

The companion record also uses public calibrated Stokes-I uvfits surfaces under 2024-D01-01. The retained public layer contains 24 files spanning days 111, 112, and 115; bands b1, b2, b3, and b4; and CASA and HOPS pipelines. Direct canonical ingestion succeeds. Both-gain self-calibration summaries over this public layer give major-axis range 19.312--113.184$\uas$TeX\uas, minor-axis range 18.551--45.236$\uas$TeX\uas, axis-ratio range 1.004--5.066, position-angle range 0.004--127.450 degrees, and flux range 0.884071--1.115537 Jy. The spread confirms that this layer is a bounded morphology-surrogate surface rather than a paper-grade ring observable.

Public polarimetric surfaces

The public M87* polarimetric analysis ingests 24 files under 2023-D01-01. Short-baseline polarization summaries are computed under cuts $|b|\le 2.5\Glambda$TeX|b|\le 2.5\Glambda, intensity SNR at least 5, and polarization SNR at least 3. The retained summaries are: center 3pt 1.12

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center These are bounded short-baseline polarization-observable surfaces. They do not provide polarized image-domain morphology or theorem-level polarization closure.

The GWOSC analysis uses the GWTC-3 confident and marginal event boards and public product-group identities. The retained confident-event analysis has 35 event-board rows, 35 metadata-ready rows, 35 product-ready rows, and zero product-partial rows. A first 32-second public HDF5 short-window proxy preserved decay-toward-baseline count 21, post-event elevation count 3, and low-contrast proxy count 11. The later public frontier attaches preferred parameter-estimation/remnant anchors for all 35 confident events, including final spin and posterior/sample links.

The multi-window response surface over confident events is: center 1.12

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center The strongest GWOSC reading is therefore a public event-board/product-group freeze, preferred public parameter-estimation/remnant anchor layer, final-spin and posterior-link capture, and bounded multi-window short-strain response surface. It is not waveform-consistency closure, ringdown-residual closure, theorem-level return-kernel certification, or BH2 closure.

The diagnostic gate board is: center 1.12

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The analysis classifications are: center 1.16

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center The labels are bounded labels. They do not certify a black-hole theorem, microscopic entropy theorem, quantum-gravity solution, EHT image-pipeline replacement, LVK/GWOSC waveform-pipeline replacement, CHC root compact-object inference law, paper-grade EHT ring observable, official ringdown residual, or theorem-level return-kernel closure.

The remaining BH1 boundary is not basic public-data availability. It is the absence of an authoritative image-domain observable contract with collaboration-grade calibration semantics, derived-observable uncertainty bookkeeping, official ring-diameter or asymmetry extraction semantics, polarized morphology acceptance rules, and a systematic uncertainty envelope accepted at the paper-observable level.

The remaining BH2 boundary is the absence of an official public event-level reconstructed waveform aligned to strain or an official public ringdown-residual product aligned to strain. Public posterior-sample ingestion can refine remnant summaries, but it does not close the missing waveform or ringdown-residual product layer.

EHT morphology, polarization, and gravitational-wave response form a discriminating basket only when one compact-object parameter map predicts them jointly. If its sensitivity rank is $r<m$TeXr<m, left-null combinations give $m-r$TeXm-r first-order consistency conditions. Separate morphology, polarization, and ringdown nuisance maps can instead attain full rank and eliminate the joint test.

A compact target for the CHC scalar is not equivalent to a compact material surface or to horizon topology. Its observational effect must pass through a solved spacetime and an explicit matter or photon coupling. The analysis should therefore evaluate whether one frozen field configuration and coupling survives all diagnostic families, while treating agreement obtained by channel-specific retuning as descriptive rather than as evidence for a common compact-object mechanism.

The closure test for the public compact-object diagnostics is applied to a dimensionless observable vector $y\in\mathbb R^m$TeXy\in\mathbb R^m formed from fixed reference scales and the declared basket of image morphology, polarization, spectral, and variability summaries. Let $a$TeXa range over the independent constitutive inputs comprising object class, surface or horizon hypothesis, morphology map, and instrument calibration.

proposition: Functional saturation, finite closure, and sector admissibility. Suppose the unrestricted prediction map $F:a\mapsto y$TeXF:a\mapsto y is continuously differentiable on a Banach space of constitutive inputs. If $D_aF$TeXD_aF is surjective and has a bounded right inverse at the calibration point, the unrestricted family is locally open in observable space and supplies no nonzero local equality restriction on $y$TeXy. Suppose instead that a single microscopic closure replaces $a$TeXa by finite parameters $\theta\in\mathbb R^p$TeX\theta\in\mathbb R^p, with profiled nuisance coordinates $\eta\in\mathbb R^q$TeX\eta\in\mathbb R^q. If

J=D_\eta F_{\rm cl}D_\theta F_{\rm cl},
 \qquad \operatorname{rank}J=r<m,

then there are $m-r$TeXm-r independent first-order restrictions

w^{\mathsf T}\delta y=0,
 \qquad w\in\ker J^{\mathsf T}.

If the rank is constant locally, these restrictions are tangent to a compatibility manifold of codimension $m-r$TeXm-r. For this sector, the finite closure is admissible only if one compact-object hypothesis and response map determine all diagnostic channels with a nonzero transverse rank.

proof. Split surjectivity gives a bounded right inverse $R$TeXR with $D_aF\,R=I_m$TeXD_aF\,R=I_m. The Banach-space submersion theorem then makes $F$TeXF locally onto a neighborhood of the calibrated observable vector. Any smooth equality holding throughout that image must therefore vanish on an open set and contributes no model-specific local restriction. Under finite closure, the attainable first-order variations are exactly the column space of $J$TeXJ. Its orthogonal complement is $\ker J^{\mathsf T}$TeX\ker J^{\mathsf T}, whose dimension is $m-r$TeXm-r by rank--nullity, which proves reference. The constant-rank theorem supplies the stated local manifold. The sector condition is necessary because target-space compactness alone supplies neither a material surface nor a horizon-scale response model. Failure of that condition therefore rejects the proposed microscopic closure before parameter estimation can be counted as evidence for it.

The companion record reaches a bounded public-only diagnostic frontier for BH1 and BH2. The BH1 analysis has a real EHT target-product acquisition, retained visibility/imaging entry, public calibrated/post-correlator release ingestion, and bounded public polarization-observable surface. The BH2 analysis has a GWOSC event-board and product-group freeze, preferred public PE/remnant anchors, final-spin and posterior links, and bounded multi-window short-strain response surfaces. These results justify the shared label $\BHdiag$TeX\BHdiag. They also identify the remaining public boundary: BH1 lacks paper-grade morphology/polarization observable semantics, and BH2 lacks official waveform-consistency or ringdown-residual products. The diagnostic record is therefore sufficient for BH1/BH2 public diagnostic construction, but not for compact-object theorem closure.

Data and code availability..

This companion manuscript uses the public compact-object, gravitational-wave, and diagnostic references identified in the text. No proprietary observational data are introduced. The companion source summaries identify the cited public references and supporting statements.

Funding and competing interests..

No external funding was received for this work. The author declares no competing interests.