Testable predictions of a 6D topological kink at (l,b)=(307.35°,9.18°): A novel Hubble tension solution

Hubble tension solution We propose a 6D model featuring a topological kink in the extra dimensions, localized at galactic coordinates (l, b) = (307.35°, 9.18°). The kink induces a smooth redshift-dependent modification of the effective 4D metric, naturally explaining the Hubble tension through a continuous transition from local H0 ≈ 73 km/s/Mpc to the global Planck value ≈ 67.4 km/s/Mpc, with a maximum influence near z ≈ 0.35. High-resolution 1D PDE simulations demonstrate that a single kink produces a birefringence rotation Δψ1 ≈ 0.0047°. Statistical accumulation across a network of topological defects with mean density ρwall ∼ 2 × 10⁻⁴ Mpc⁻³ yields an effective rotation ⟨|Δψ|⟩ ≈ 6.2° via random-walk enhancement (κeff ≈ 1300). The model makes sharp, directional, and redshift-dependent predictions for cosmic birefringence, Hubble parameter evolution, gravitational wave spectrum, and X-ray flux in the Norma region. These predictions are falsifiable with near-future data from LiteBIRD, CMBS4, Euclid, and eROSITA.