Coherence Saturation in the SP3 Framework as a Mechanism for Low-ℓ CMB Anomalies

We show that a saturation limit on vacuum-phase coherence, intrinsic to the SP3
framework, provides a concrete and testable mechanism for the long-standing lowmultipole anomalies observed in the cosmic microwave background (CMB). In this
approach, coherence density s cannot increase without bound. When a saturation threshold
s_max is approached in the early universe, further compression of long-wavelength modes
becomes dynamically forbidden, resulting in preferential suppression and redirection of the
largest-scale correlations. We derive the resulting modification to the primordial curvature
power spectrum, demonstrate how this modification maps directly into reduced power at
low spherical harmonics ℓ, and show that the same saturation physics naturally allows
weak anisotropic reorganization, producing quadrupole–octopole alignment tendencies. We
interpret these large-angle CMB features as a cosmological echo of the same coherencesaturation dynamics responsible for spiral persistence near black-hole horizons, thereby
linking horizon-scale structure and early-universe non-singular evolution within a single
physical framework.