Unary Field Theory: The Perpendicular Hubble Flow Dipole

The Unary Field Theory (UFT) predicts a weak dipole anisotropy in the local Hubble flow with amplitude δH/H ∼ 10⁻⁴, oriented roughly perpendicular to the CMB dipole direction. This dipole arises from large-scale κt flow shear—spatial gradients in the residual flow fraction s_flow(x)—that produce a coherent modulation of the effective expansion rate on supercluster scales (∼100 Mpc). Unlike the CMB dipole, which reflects our peculiar velocity relative to the CMB rest frame, the UFT Hubble dipole is a genuine variation in the local expansion rate. This paper provides the step-by-step derivation of δH/H ∼ 10⁻⁴ from the fundamental parameters of the UFT, and outlines the detection strategy using LSST Type Ia supernovae. The predicted direction (ℓ ∼ 120°–150°, b ∼ ±15°) is set by the supergalactic plane, offering a clean discriminant from peculiar velocity effects. This is UFT Prediction Paper IX; the unified framework is given in the main paper: Zou (2026), doi:10.5281/zenodo.21186809.