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Four-Dimensional Tomography of a Common Component in 21 Centimeter Intensity Mapping (Pixel–Redshift–Environment–Common Component)
V33-33.23 · G 判决节 / 审计节 ·
33.23 turns 21 centimeter intensity mapping into a four-dimensional common-component court: under a frozen T_common extraction rule, the post-processed cube must yield a sub-band-consistent, non-dispersive T_common whose amplitude rises from void-like regions to filaments and nodes, remains continuous across pixel-redshift, and replicates across foreground-removal classes and facilities; under V08/V09-compatible tighten, this remains a cube-level environment residual ledger rather than a standalone cosmology verdict.
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Keywords: 21 centimeter intensity mapping, T_obs, T_res, T_common, k_parallel, k_perp, sub-band agreement, environment index J, pixel-redshift continuity, foreground-removal classes, beam chromaticity ledger, tighten boundary
Section knowledge units
thesis
33.23 refuses to leave the 21 centimeter cube as a vague residual map. It turns the claimed common component into a four-dimensional object that must be stratified by environment, tested for non-dispersive behavior, and replicated across facilities. The court therefore does not ask whether one pipeline can reveal a pretty leftover structure. It asks whether a frozen T_common can survive sub-band comparison, environment ordering, continuity checks, and blinded arbitration. That is why the chapter is compat-adjudicated as tighten. It may certify one cube-level environment residual ledger, but it may not let one 21 centimeter window settle cosmology or structure ontology.
mechanism
Bookkeeping begins with T_obs, proceeds to T_res after standard processing, and then extracts T_common under one frozen low-mode or smoothing definition. The cube is split into at least two sub-bands so that T_common_A and T_common_B can be compared for sign, direction, and non-dispersive stability. Each sky-position-redshift cell also receives two label layers: an environment index J for void, filament, node, convergence, or equivalent context, and a contamination layer for Galactic foregrounds, bright-source risk, sidelobes, and horizon stray light. The court then records strong/medium/weak tiers, relative ranks, and angular plus redshift continuity metrics rather than a single significance map.
mechanism
Workflow is cube-first and blindness-first. Sky mosaics, angular tiling, and redshift slicing are frozen in advance and reused across facilities. At least two foreground-removal classes run in parallel, and a beam-and-gain chromaticity ledger is maintained so frequency-dependent resolution changes cannot impersonate continuity. The environment team writes feed-forward prediction cards without seeing the 21 centimeter data. The measurement team reconstructs T_common blindly. Arbitration aligns predicted tiers with measured tiers, tests monotonicity, and then the full pipeline is rerun on the same sky and redshift windows with an independent facility or calibration chain.
evidence
Null separation is designed to break false continuity. Environment-label permutations must drive rank-match and monotonicity back toward random. Controlled sky rotation must shatter co-location while keeping the template distribution intact. Frequency-label permutations must damage true redshift continuity rather than leaving an unchanged spectral-smooth artifact. Galactic foreground controls and stricter bright-source or sidelobe masks attack the other easy impostors. If T_common strengthens along scan footprints, RFI-mask boundaries, or high-sidelobe zones, the court moves the signal back into foreground or instrument review.
boundary
The section passes only if four gates hold at once. T_common must keep one sign and direction across sub-bands and foreground-removal classes, its amplitude must increase monotonically from void-like regions to filaments and nodes, its structure must stay continuous across pixel-redshift rather than along scan or beam artifacts, and the directional conclusion must replicate across facilities or calibration chains. It fails if dispersive behavior appears, if monotonicity survives nulls almost unchanged, if one facility or one beam-handling choice dominates, or if scan footprints and Galactic templates explain the pattern. Main systematics are foreground leakage, beam chromaticity with sidelobe contamination, and gain drift or zero-point instability.
interface
So 33.23 leaves the court only as a tightened 21 centimeter cube ledger. If frozen T_common extraction, sub-band agreement, environment monotonicity, continuity, null separation, and cross-facility replication all survive, the chapter may certify one environment-graded residual object inside the cube. If not, it collapses back into foreground, beam, or calibration review. Even on a pass, T_common stays a cube-level readout rather than a standalone cosmology or ontology settlement. The route forward is into 33.24's single-timebase corridor differential and later into 33.31 as one audited tomography input.