The tSZ power spectrum reads below the CMB-calibrated prediction across Planck, ACT, and SPT, worst at high multipoles where low-mass halos dominate (Planck 2016; Bolliet 2025). The repairs mirror the growth-tension menu: lower σ₈ widens S₈, and baryon-ejecting feedback strains its engines. Every cluster-weighted probe reads low together.
The model predicts tSZ power from its halo mass function with each halo's pressure set by the mass a particle halo implies. If the mass scale entering the prediction is inflated relative to the gas actually present, the predicted power overshoots, and the framework, owning one mass per halo, can only blame the gas.
SCT predicts the deficit with an exponent. Cluster masses inferred under the particle assumption are coherence-amplified baryonic masses, M_eff = A × M_baryonic (P50, P52), but the gas pressure that sources the tSZ signal belongs to the baryons alone. Propagating the amplification through the halo mass function and the Compton-y scaling yields the registered result of Paper 6, From Chaos to Cosmic Collisions, Section 7: the tSZ power spectrum is suppressed by the factor A to the power -7/3 relative to the ΛCDM expectation. With the cluster-scale amplification A near 1.10 to 1.20, the suppression lands in the observed deficit range, derived from the same mechanism, with the same A, that carries the S₈ tension (recid 2) and the cluster mass bias (recid 214); three low-reading probes, one amplification, one exponent.
The multipole structure follows: the deficit deepens toward high l because lower-mass, less-virialized halos sit farther from full coherence, their pressure contributions overpredicted most by the particle bookkeeping. The registered companion prediction sharpens with redshift: the S₈-family tensions should diminish toward higher z as A(z) falls with assembling structure, a signature the SPT-3G and Simons Observatory tomographic measurements can track directly. The formalism is in Paper 6 with the amplification fixed point in Paper 13, From Chaos to Coherent Gravity.
Keystone economy: P52 supplies A, the -7/3 does the rest. The missing power was never missing; it was bookkeeping.
The registered kill is quantitative: tSZ measurements combined with independent mass calibrations showing the deficit inconsistent with the A to the -7/3 suppression at the measured amplification, too deep or too shallow for any admissible A, would refute the propagation. The redshift half cuts with it: a tSZ deficit constant or growing with redshift, where the framework requires it to shrink as A(z) falls, would break the amplification reading across the whole cluster sector.