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Precision CMB Spectral-Distortion "Injection History" and Persistent Noise-Floor Tests

V33-33.29 · G 判决节 / 审计节 ·

33.29 turns CMB microdistortion claims into a three-window residual court: after absolute-zero, bandpass, beam, leakage, foreground, and thermal terms are frozen, only μ and y amplitudes plus the μ:y ratio that remain direction-consistent across missions, channels, and seasons, form smooth non-zero lower bounds in the μ / r-type / y injection windows, and are hit by blinded κ / galaxy-density / node-distance feed-forward cards can survive; under V08/V09-compatible translation, persistent noise-floor language stays a template-residual and injection-history ledger rather than a fixed cosmic substrate or one-script cosmological verdict.

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Keywords: μ amplitude, y amplitude, r-type, free–free, μ:y ratio, κ, node distance, dual-blackbody references, FTS, band-edge leakage, SZ y maps, persistent noise-floor, injection-history cube, mask-rotation nulls

Section knowledge units

thesis

33.29 begins by refusing the wrong picture. CMB microdistortions are tiny departures from an almost perfect blackbody monopole, so absolute-zero drift, bandpass errors, beams, sidelobes, and foreground leakage can fake them with alarming ease. The court therefore turns any persistent-floor claim into an injection-history problem: the residual has to stay non-dispersive, form a smooth μ / r-type / y history, and be hit by blinded environment cards rather than merely looking suggestive in one map. That is why the section enters compat adjudication as translate. It may preserve one residual and floor-platform ledger, but it may not let persistent-noise-floor wording harden into a fixed cosmic substrate.

mechanism

The measurement ledger is explicitly tomographic. The chapter grades template-projected μ, y, r-type, and free–free amplitudes plus the μ:y ratio on full-sky, large-area, and clean high-latitude regions, then demands direction consistency across neighboring sub-bands and seasonal partitions. Those fitted amplitudes are projected into an early μ-window, a transitional r-type window, and a late y-window to form a sky × redshift-slice × window cube whose fractions are classified as enhanced, platform, or uncorrelated. Zero-lag co-occurrence across channels, missions, and seasons is measured against side-lobes, while κ, galaxy density, node distance, and Chapter 27-style environment tags test whether the floor ranking is environmentally predictable rather than foreground-led.

mechanism

Execution is absolute-radiometry first. Absolute radiometers and FTS families supply the continuous spectral backbone, mapping missions constrain foreground structure and beam kernels, and a single external time-and-frequency anchor together with dual-blackbody or equivalent internal standards controls zero-point drift. After common bandpass and beam conventions are frozen, a closed-set multi-template fit outputs μ, y, r-type, free–free, and residual maps, and those outputs are recomputed through a foreground-first path and a frequency-domain-first path with explicit band-edge holdouts. Environment teams then issue sealed prediction cards, measurement teams produce the graded tables under at least two mask conventions, and held-out sky regions plus held-out seasons close the adjudication.

evidence

The null court is broad because a floor can be manufactured in many ways. Environment-label permutations and mask or template rotations should drive monotonicity and floor-platform hit rates toward random. Band-edge exclusions and spectral-leakage stress tests attack bandpass artifacts directly. Solar-angle, thermal-load, orbital-day/night, and attitude partitions test slow instrumental drift, while foreground-equivalent controls compare regions matched in dust, synchrotron, free–free, and CO strength. Cross-mission and cross-channel bypasses then ask whether the effect belongs only to one mission or one channel family rather than to the residual cube itself.

boundary

A pass requires the residual product to clear several gates together. Across missions, channel subsets, and seasons, μ and y amplitudes plus the μ:y ratio must remain direction-consistent under one protocol and show significant zero-lag co-occurrence. The μ / r-type / y windows must each keep a non-zero lower bound and a smooth ordering across sky region and redshift slice, while environment-feed-forward cards must beat permutation baselines and succeed again on held-out adjudication sets. Failure is declared if dispersion laws, band-edge placement, foreground templates, thermal states, or one cleaning path explain the structure better than the residual cube. Absolute calibration and zero-point drift, beam chromaticity and sidelobes, and foreground-separation limits remain the named systematics that must be bounded before any support claim can stand.

interface

So 33.29 survives only as a translated microdistortion court. A pass means one non-dispersive residual and three-window floor-platform ledger has reproduced across missions, seasons, and channel partitions and has survived blinding plus nulls. It does not mean a new cosmic substrate has been isolated. Persistent noise-floor remains a template-residual and injection-history object on the protocol layer. The onward routes stay explicit: 33.30 tests whether an analog Tension Wall phase map can align across platforms, and 33.31 turns back to early-universe horizon consistency under the same adjudication discipline.