Predictive Ψ_dark–Vacuum Deviation in Large-Scale Structure: A Testable 4D Cosmological Signature"

Description This paper presents the fully normalized and observationally bounded prediction of dark-matter halo deviations arising from the Ψ_dark domain within the 4D domain framework. Building on the original formulation, we provide a corrected and explicitly normalized χ-response calculation that avoids double-counting of coherence factors and preserves full axiomatic consistency. The resulting deviation from standard Navarro–Frenk–White (NFW) halo profiles is shown to emerge naturally from parity-selective vacuum response rather than phenomenological modification of gravity. We derive the radial dependence of the Ψ_dark contribution, Δχ(r), establish conservative upper and lower bounds consistent with current galactic rotation-curve data, and identify the physical scale at which deviations become observationally significant for Milky-Way–mass halos. The framework predicts small but systematic departures from NFW behavior at large radii, providing a falsifiable signature accessible to upcoming surveys such as Euclid and JWST.