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Quasar Polarization Group Alignment and Cosmic-Web Orientation Synergy

V33-33.15 · F 证据节 / 显影节 ·

33.15 turns quasar polarization and the cosmic-web filament skeleton into a skeleton-first orientation audit: within frozen tomography slices, PA_pol relative to PA_fil must show a preregistered bias, the coherence scale θ_c must track θ_fil, and both should strengthen with skeleton stability and environment strength; under V08-compatible retain, this remains one structure-genesis direction ledger rather than a standalone 'network-first' verdict.

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Keywords: quasar polarization, cosmic-web filament skeleton, PA_pol, PA_fil, ψ, f_align, θ_c, θ_fil, Galactic foreground, dual-skeleton verification, holdout adjudication, retain boundary

Section knowledge units

thesis

33.15 opens with a directional hypothesis, not with a single-object curiosity. If the cosmic-web filament skeleton provides a stable orientation field through which source-side and path-side effects are organized, then quasar polarization angles should not be fully random relative to the local filament tangent inside the same redshift slice. The question is therefore not 'is any one quasar aligned?' but whether group-level coherence appears where the skeleton is stronger and the local direction field is more stable. The chapter also refuses to assume the sign of the effect after the fact: a preregistered rule must choose either small-angle alignment or a near-90-degree preference. Under the V33 guardrail, even a successful result remains one direction ledger inside structure formation, not a standalone settlement of the full 'network-first' or road-network case.

mechanism

The measurement design has three layers. On the polarization side it records Q, U, p, and the derived PA_pol under a frozen polarization signal-to-noise gate p_th. On the structure side it builds a filament skeleton in the same tomography window and evaluates the local tangent angle PA_fil at each quasar position under a frozen interpolation rule. Their acute difference defines ψ. Slice by slice the chapter then computes either an aligned fraction or a perpendicular fraction within a preregistered tolerance ψ0 and scores significance with a preregistered family of circular-statistics tests. A second layer tracks coherence length through the angular correlation of polarization orientations, yielding θ_c, while the filament field itself yields θ_fil. A third layer assigns environment tiers and strength proxies so the court can ask whether stronger or more stable skeleton environments carry stronger orientation bias and longer coherence.

mechanism

The chapter is skeleton-first by construction. Redshift-bin edges, slice thickness, sky mask, minimum separations, ψ0, p_th, and θ bins are all frozen before any scoring begins. The skeleton direction field and filament-strength field are then generated from structure data that are independent of the polarization measurements. Only after the structure side is frozen are polarization angles and redshift-slice labels randomly encoded for blinding. Matching, ψ calculation, and preregistered statistics are carried out under the blind code, and only those tests are allowed after unblinding. The court also requires at least two independent skeleton constructions, such as a galaxy-distribution skeleton and a field-based skeleton, and any surviving bias must agree across them within uncertainty. One sky region or one redshift slice is held out as the final adjudication set, and neither ψ0 nor p_th may be revised on that holdout.

evidence

The controls are built to break every obvious pseudo-alignment route. Randomly rotating the filament direction field or phase-randomizing the skeleton while preserving the gross angle distribution should erase both the alignment fraction and the coherence scale if the signal is real. Redshift-slice permutations must likewise destroy same-slice structure. Galactic-coordinate and dust or stellar-polarization controls attack foreground contamination directly: if the apparent bias mainly tracks Galactic latitude or dust templates, the filament story loses standing. Instrument and pipeline comparisons then ask whether the signal depends on one processing route, and random resampling that preserves redshift and brightness distributions tests whether a selection-driven effect is masquerading as structure. Support only counts if these nulls and controls collapse while the preregistered signal remains stable.

boundary

The pass line is threefold. First, within preregistered slices the ψ distribution must depart significantly from uniformity under the frozen bias rule, and the aligned or perpendicular fraction must exceed chance expectation. Second, the same sign must survive across two independent skeleton types, while the polarization coherence scale θ_c is clearly nonzero and changes in the same direction as θ_fil across slices and environment tiers. Third, skeleton permutations, redshift permutations, Galactic-foreground checks, and the held-out adjudication set must separate cleanly. Failure is declared when ψ remains uniform even as the sample grows, when θ_c decouples from θ_fil and instead follows Galactic or scanning directions, when the sign depends on one algorithm or pipeline, or when the nulls remain equally significant. The main systematics are Galactic foreground polarization, low-p selection bias, and unstable or noisy local skeleton reconstruction.

interface

So 33.15 retains one precise authority. If quasar polarization angles show a reproducible bias and a nonzero coherence scale relative to the cosmic-web filament skeleton within preregistered slices, and the signal collapses under permutation and foreground controls while reproducing in the holdout, then polarization-skeleton synergy survives as one direction ledger inside structure formation. If that chain breaks, the result returns to foregrounds, unstable skeletons, or selection effects. Under the compat bridge the chapter is retain, but it remains only one orientation account. Its rightful onward routes are into 33.16, the later synthesis point in 33.32, and the road-network tail in 33.76. It does not let a single polarization window settle the broader formation ontology on its own.