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Jet-Core Brightness–Polarization Co-Variation at the Same Location and Time Window (Zero-Lag Index and Faraday De-Rotation Robustness)
V33-33.22 · F 证据节 / 显影节 ·
33.22 turns AGN jet cores into a same-location, same-window synchronization audit: after frozen core-shift alignment and Faraday de-rotation, I_core, p_core, and χ_core must rewrite together with τ_peak near zero and a high Z0 across frequencies, event windows, and independent pipelines; under V08-compatible retain, this remains a near-core direction-and-flow coordination ledger rather than a finished jet-physics verdict.
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Keywords: AGN jet core, I_core, p_core, χ_core, core shift, RM, Faraday de-rotation, τ_peak, Z0, event-window hit rate, dual pipelines, retain boundary
Section knowledge units
thesis
33.22 starts from one strict synchronization question. The jet core is the most sensitive inner readout of an active galactic nucleus, so a real update should rewrite brightness and polarization together at the same place and in the same window, not as two loosely related curves. The court therefore asks whether, after core-shift alignment and Faraday de-rotation, I_core, p_core, and χ_core move together with near-zero lag. That is why the chapter is compat-adjudicated as retain rather than tighten or translate. It may preserve one near-core coordination ledger, but it may not turn one jet-core window into a finished jet-physics or field-ontology verdict.
mechanism
Bookkeeping is concrete. Every epoch and frequency band must yield I_core, Q_core, U_core, derived p_core and χ_core, a measured core shift, an RM fit, the intrinsic angle χ_0, a residual angle behavior Δχ_res after de-rotation, and cross-correlation outputs for I_core versus p_core and I_core versus χ_core. The main admissibility markers are τ_peak, the zero-lag index Z0 under a frozen τ_max, peak coupling strength, and event-window hit versus wrong-direction rates. The chapter is not satisfied by generic variability. It needs same-window co-variation after co-location and de-rotation are both explicitly enforced.
mechanism
Workflow is frozen before excitement arrives. Sources must have stable core identification and multi-epoch multi-frequency polarimetric coverage, preferably VLBI-grade or equivalent high-resolution imaging. The core definition, core-shift measurement rule, alignment residual limit, RM fit frequency set, band-exclusion rule, and intrinsic-angle reporting rule are all preregistered. Two independent calibration and imaging pipelines produce I_core, Q_core, U_core, RM, and χ_0. Epoch and frequency labels are blinded while τ_peak and Z0 are computed, and strong event windows are held out for the final adjudication set.
evidence
Null separation attacks the three easiest fakes. A Faraday-only explanation should collapse after de-rotation and follow λ^2 behavior rather than a cross-frequency same-window rewrite. A core-shift artifact should weaken or reverse once measurements are aligned to one physical location. Calibration and imaging traps are probed by changing solving order, reconstruction route, and subarray or baseline holdouts. Time-label and frequency-label permutations provide the last gate: if comparable zero-lag coupling survives when labels are scrambled, the apparent coordination belongs to statistics or pipeline structure, not to the jet core.
boundary
The chapter passes only if near-zero lag survives the full gauntlet. Z0 must sit clearly above permutation baselines, event-window rewrites must persist in held-out epochs, and de-shifted, de-rotated coupling must keep one direction across frequencies and across independent pipelines. It fails if τ_peak drifts with epoch or band, if wavelength-squared Faraday behavior explains the angle updates, if alignment or imaging choices create or erase the coupling, or if permutation nulls stay just as significant. Main systematics are complex Faraday screens, resolution-dependent core blending, and polarization calibration leakage.
interface
So 33.22 survives only as a retained near-core synchronization card. If same-location, same-window brightness-polarization rewrites remain after core-shift alignment, Faraday de-rotation, dual pipelines, nulls, and holdouts, the section is allowed to preserve one jet-core coordination ledger. If not, it falls back into propagation, alignment, or calibration review. Even on a pass, the result does not settle all jet, field, or channel ontology. It routes forward into 33.23's cube-level common-component court and later into 33.32 and 33.38 as one synchronized readout input.