Parity Violation in the Galaxy 4-Point Function (BOSS)

The ΛCDM Tension

The BOSS galaxy four-point correlation function, the lowest statistic that can carry 3D handedness, shows parity violation at 2.9σ (Philcox 2022) to 7σ (Hou, Slepian and Cahn 2023). Gravitational evolution of Gaussian initial conditions cannot create it, systematic tests find no artifact, and the dispute has narrowed to whether mock-based covariances understate the noise. DESI Year 5 will decide.

The ΛCDM Assumption That Creates It

ΛCDM's initial conditions are statistically parity-even and its gravity is parity-preserving, so the model forbids any handedness in the galaxy distribution at any significance. A confirmed signal cannot be absorbed; it requires the initial conditions themselves to know left from right, and the model supplies no vector that could orient them.

SCT Resolution: M10 (Inherited Handedness of Structure)

SCT replaces the hot-dense-center with a superluminal collision carrying nonzero impact parameter, and the debris field inherits a global axial vector: J = μ(b × v_rel) (P31). An axial vector is a handedness, and angular momentum inheritance propagates it into every scale of condensing structure (P32), so the galaxy distribution is built from oriented, chirally biased debris rather than from a parity-even Gaussian field (P56). A parity-odd four-point function is then not new physics layered onto the initial conditions; it is the initial conditions, read at the lowest statistic capable of seeing a tetrahedron's handedness. ΛCDM is right that gravity cannot create the signal, which is exactly why finding it points to birth.

The geometric origin makes a distinguishing prediction: the handedness should be globally coherent and connected to the rest of the J-aligned family, the CMB parity-odd EB correlations, the spin-filament chirality, and the anomaly axes, where field-based parity violation (axions, primordial chiral gravitational waves) carries no such cross-statistic alignment requirement. SCT flags the quantitative 4PCF amplitude as outstanding theoretical work; the qualitative expectation of nonzero, J-coherent parity violation in large-scale structure is premise-grounded.

There is no need to invoke parity-violating inflationary sectors; the collision geometry already broke the mirror.

Falsifier

Symmetric kills. If DESI Year 5 retires the BOSS signal as a covariance artifact, the observation is removed and SCT's expectation of structure-level handedness loses its principal evidence (the framework survives, the prediction stays open). If the signal is confirmed but shown to be statistically disconnected from the J-axis family, uncorrelated with the CMB parity axis and spin-filament chirality at 3σ, the geometric inheritance reading fails in favor of field-based parity violation.

Premise Grounding

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