Lack of Angular Correlation

The ΛCDM Tension

The CMB temperature correlation above 60 degrees is nearly zero, with the S_1/2 statistic far below the ΛCDM expectation, at a level under a percent of standard simulations reproduce (Copi 2010; Schwarz 2016). Three satellite generations agree, masks and estimators do not matter, and the model's initial conditions guarantee the missing power by construction.

The ΛCDM Assumption That Creates It

Inflation stretches Gaussian fluctuations to all scales without bound, so the model cannot run out of large-scale power; correlations at every angular separation are mandatory. A two-point function that goes silent past 60 degrees has no mechanism, leaving only the appeal to an unluckily quiet sky.

SCT Resolution: M10 (The Cascade Has an Edge)

SCT's perturbations were not stretched from a scale-free mechanism; they were deposited by a collision cascade with a finite largest event. The first-stage structures cap at the parent-pocket scale, Λ_max ≈ 2 × R_pocket ≈ 5 Gpc (P55), so there is a largest distance over which any cascade event correlated two regions. Angular separations on the last-scattering sphere that exceed the cascade's reach connect regions no single event touched, and their temperatures are uncorrelated for the simplest possible reason: nothing ever correlated them. The missing large-angle power is not a fluctuation to be excused; it is the cascade's edge, photographed.

The same finite extent carries the neighboring anomalies as one package: the low-multipole power deficit (recid 32) is the harmonic-space face of the same cutoff, the quadrupole suppression sits at the canonical C₂ ratio near 0.25 of the ΛCDM expectation, and sibling pockets at gigaparsec separations (P58, P60) add the predicted large-angle modulation that aligns the surviving low multipoles. The cascade architecture is laid out in Paper 1, From Chaos to Convergent Foundations, with the spectrum construction in Paper 3, From Chaos To Concordance Spectra. One secondary signature is registered: the surviving large-angle correlations should carry a faint directional preference tied to the collision J axis (P31, P64) rather than perfect isotropy.

One premise is the keystone: P55. A largest event means a largest correlation, and the sky shows exactly that.

Falsifier

Polarization carries the kill, because cosmic variance has closed the temperature route. If CMB-S4 and LiteBIRD large-angle polarization statistics show the full ΛCDM correlation structure above 60 degrees, with the temperature deficit isolated as a fluke of one realization rather than a feature of the underlying field, the finite-cascade-extent explanation is refuted. SCT requires the cutoff to live in the field itself, appearing in every statistic that probes the largest scales.

Premise Grounding

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