This publication presents a structural explanation of the Navarro–Frenk–White (NFW) density profile using the BRISM framework (Brane–Resonance–Interface–State Model). Within BRISM, the observable universe is interpreted as the real‑structured projection of unitary bulk states via a Naimark–Stinespring interface. Under the constraints of positivity, σ‑additivity, phase neutrality and spectral stability, the Born‑quadratic form emerges as the unique stable projection rule. Applying this projection geometry to spherically averaged bulk configurations naturally produces the two characteristic NFW regimes: an inner fold‑caustic scaling ∝ r⁻¹ and an outer geometric‑dilution regime ∝ r⁻³. A finite interface coherence scale ε regularizes the central divergence and generates a physical core without invoking particle dark matter or baryonic feedback mechanisms. A quantitative comparison with the THINGS dwarf galaxy IC 2574 demonstrates that the BRISM‑derived profile reproduces both the amplitude and shape of the observed core region without parameter tuning, while the standard NFW prediction overshoots the central density by nearly an order of magnitude. The model thereby offers a purely structural resolution of the long‑standing cusp–core discrepancy and positions the NFW shape as a geometric attractor of projection rather than a dynamical outcome. The dataset includes analytic expressions, numerical evaluations, and side‑by‑side comparisons with observational anchor points, enabling reproducibility and further application of the BRISM projection framework to galaxy‑scale mass modelling.
Swen Carlo Heinze (Wed,) studied this question.