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Dynamic Near-Horizon Stratification as a Dual Structure of Fault Bands and Pore Channels: Ring-Width Breathing and Azimuthal Phase Locking

V33-33.26 · G 判决节 / 审计节 ·

33.26 turns ring-scale black-hole imaging into a near-horizon fine-structure court: after frozen ring-centering and common-resolution alignment, fault-band parameters (ρ_s, w_s, A_s), ring width W(t), and pore azimuth φ_p must recur across closure and imaging paths, breathe in discrete states or quasi-periodic windows scaled by t_g, stay frequency-consistent, and co-locate with Chapter 7 φ_delay / φ_flip beyond azimuthal nulls; under V08/V09-compatible tightening, this remains an extreme-image stratification ledger rather than a standalone horizon-ontology verdict.

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Keywords: black-hole ring, I(ρ), W, ρ_s, w_s, A_s, φ_p, Δφ_p, f_b, t_g, closure phase, closure amplitude, φ_delay, φ_flip, scattering control

Section knowledge units

thesis

33.26 refuses to let a suggestive ring image act as its own evidence. The chapter asks whether near-horizon emission really organizes into narrow radial fault bands and repeatable azimuthal pore channels, or whether those features appear only because one reconstruction method likes them. It therefore turns stratification into a quantified court object judged by reproducibility, same-window co-location, and cross-method robustness. That is why the section is compat-adjudicated as tighten. It may keep one ring-scale fine-structure ledger, but it may not let image morphology alone become a finished verdict on horizon ontology.

mechanism

The ledger is both radial and azimuthal. Radially, the court freezes the ring center and normalized coordinate, then measures the brightness profile I(ρ), ring width W, and fault-band center ρ_s, width w_s, and strength A_s. Azimuthally, it defines a pore proxy B(φ), locates the pore center φ_p and width Δφ_p, and scores whether the pore is phase-locked, weakly drifting, or disordered across epochs. Time series for W(t), ρ_s(t), and A_s(t) then test discrete-state clustering or quasi-periodic breathing through f_b. Same-window consistency is measured by Δφ relative to the Chapter 7 azimuths φ_delay and φ_flip.

mechanism

Execution is dual-path and resolution-disciplined. Closure phase, closure amplitude, and polarization closure quantities provide one extraction route that resists imaging priors, while at least two imaging or inversion methods provide a parallel route. Ring-center definitions, beam matching, radial normalization, fault thresholds, and pore-identification rules are preregistered before analysis. Epoch and frequency labels are blinded during extraction, holdout epochs are reserved for final adjudication, and all bands are matched to a common effective resolution before cross-frequency comparison. Cross-source tests then ask whether breathing timescales scale with t_g and whether normalized stratification radii belong to a shared family.

evidence

The chapter’s nulls are designed to expose imaging convenience. Reasonable prior and regularization permutations test whether fault boundaries or pore azimuths drift or flip when conventions change. Subarray and baseline holdouts plus controlled noise injection challenge sampling fragility. Frequency-label permutations probe whether apparent cross-band consistency is only analysis-induced pseudo-correlation. Azimuthal rotations or sector permutations should destroy phase locking and same-location rates if the structure is not real. For scattered lines of sight, corrected and uncorrected analyses run in parallel so that scattering-kernel dependence can be bounded rather than smuggled into a preferred morphology.

boundary

A pass requires the full linked package. Both the closure-quantity path and the imaging path must recover stable fault-band parameters together with the same layered plateau–cliff–plateau radial form; pore azimuth must remain phase-locked or only weakly drifting while W(t) and A_s(t) show discrete-state clusters or quasi-periodic breathing; and after multi-frequency alignment the normalized structure must stay consistent and co-locate with Chapter 7 azimuths above permutation baselines. Failure is declared if priors, thresholds, scattering choices, resolution drift, or calibration error can erase or flip the structure. Sparse u–v sampling, scattering-model dependence, and ring-centering/co-location error are the named systematics that must stay under explicit bounds.

interface

The chapter’s one-sentence success line survives only as a tightened image-and-closure ledger. A pass means one reproducible ring-scale stratification package has cleared matched-resolution, null, and same-window tests. It does not grant that fault-band or pore-channel language names a finished horizon ontology. The section therefore remains on the protocol layer and routes onward to 33.27’s cosmic path-redshift tomography and later to 33.38’s synthesis windows.