The matter density field and its power spectrum should be statistically isotropic on sufficiently large scales in ΛCDM. Multiple galaxy and quasar surveys have reported hints of dipolar or hemispherical asymmetries in clustering amplitude and large-scale power resembling the CMB hemispherical-asymmetry (Yoon 2014; Appleby & Shafieloo 2014). The persistent directional bias is difficult to reconcile with exact large-scale isotropy.
The standard model assumes statistical isotropy of initial conditions plus standard structure growth. Hemispherical asymmetry in the matter distribution must therefore be sample variance or survey systematics. Persistent ~1 to 5% directional bias across multiple surveys has nowhere else to go in the model.
SCT replaces the hot-dense-center with a superluminal collision and the thermalized debris field. From this single change, the cascade is intrinsically directional. The original collision deposited an angular momentum vector J = μ(b × v_rel) into our patch (P22, P31, P32), and that vector defines a privileged spatial axis carried coherently from the largest scales (Λ_max ≈ 5 Gpc per P55) down to galaxy spin axes through the cosmic-web filament network (P34).
Galaxy and quasar clustering inherits the J-axis bias through the cosmic-web infrastructure. Modes oriented along the J axis show different clustering amplitude than modes perpendicular, producing a coherent ~1 to 5% hemispherical asymmetry aligned with the cascade J direction. Gravitational superposition (P50, P52) modulates the asymmetry through environmental Φ_mesh anisotropy: cluster-environment regions show slightly different asymmetry amplitude than void-environment regions. The asymmetry axis is geometrically required to be perpendicular to the CMB dipole (P64).
The same M3 + cascade-axis framework that produces the CMB hemispherical asymmetry (recid 28), the bipolar power spectrum (recid 29), the connected quadrupoles (recid 18), and the anisotropic clustering (recid 66) produces the density-field power asymmetry in LSS. Same parameter set, observed across multiple statistical estimators in CMB and LSS. There is no need for sample-variance excuses or survey-specific systematic explanations.
If precision DESI + Euclid + LSST hemispherical decomposition finds the density-field asymmetry axis statistically incompatible with the cascade J-vector axis (from quasar polarization, VLBI jets, or cosmic-web filament J inheritance) at greater than 3σ, the M3 cascade-axis explanation is refuted. The signature SCT prediction is a ~1 to 5% hemispherical bias aligned with the J axis, perpendicular to the CMB dipole direction.