Comparison of a new type of Dark Matter with the Milky Way and M31 grand rotation curves

• Published in: Scientific reports Vol. 14; no. 1; pp. 24090 - 16
• Main Author: Law, Bruce M.
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 15.10.2024; Nature Publishing Group; Nature Portfolio
• Subjects: 639/33; 639/766; Dark matter; Gravity; Humanities and Social Sciences; multidisciplinary; Science; Science (multidisciplinary); Velocity
• ISSN: 2045-2322; 2045-2322
• DOI: 10.1038/s41598-024-74884-6

In the electron Born self-energy (eBse) model, free electrons are of finite-size and possess both a rest mass, m e , as well as, a Born mass, m e B = 74,000 m e . The Born mass, which originates from the energy contained within the electric field that surrounds a finite-sized electron, serves as a Dark Matter (DM) particle in this theory (designated eBDM, electron Born Dark Matter). The equation of state for m e B is w = -1 , which implies that two Born masses experience a repulsive gravitational interaction. This repulsive gravitational interaction stabilizes the formation of a DM halo of m e B particles, of typical halo size ~ 100 kpc, around a central mass M (e.g. a galaxy), where this gravitational stability arises from the competing attractive M - m e B and repulsive m e B - m e B interactions. A solution of the linearized Poisson-Boltzmann equation, for this system, allows one to derive an expression for the rotational velocity V eBDM (R) , as a function of radius R from the galactic center. A composite model composed of rotational velocity contributions from the galactic bulge, galactic disk, as well as, V eBDM (R) is found to provide a good description of the Grand Rotation Curves for the Milky Way and M31 galaxies.