TITLE:
The NFW DM Profile Is Compatible with the Decay Law of Velocity with −0.25 as Power of Radius within the Halo
AUTHORS:
Manuel Abarca Hernández
KEYWORDS:
Dark Matter Problem, Milky Way, M31, NGC 3521, NGC 3621, SPARC Database, Modified Gravity
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.12 No.2,
April
24,
2026
ABSTRACT: The purpose of this study is to demonstrate that the Navarro-Frenk-White (NFW) dark matter (DM) density profile is consistent with the velocity decay law characterized by a radial dependence of r−0.25 within the halo regions of the MW, M31 and six other galaxies outside the Local Group, i.e. it is a universal law. The velocity law, expressed as v = a⋅r−0.25, was derived from a novel framework known as the DM by Quantum Gravitation theory (hereafter referred to as the DMbQG theory). This theory proposes that dark matter (DM) arises from the propagation of the gravitational field through an as-yet-unknown quantum gravitational phenomenon and as a consequence within the halo the rotation curve decays with the universal law mentioned. The DMbQG belongs to the category of Modified Gravity theories. Since the NFW profile has been extensively validated over the past three decades across thousands of galaxies, it is crucial to examine whether a novel framework such as DMbQG theory produces a total mass function that is effectively indistinguishable from NFW predictions. At the core of the DMbQG framework lies the direct mass formula,
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