Electron Born Dark Matter: a comparison with the Milky Way and M31 Grand Rotation Curves

In the electron Born self-energy (eBse) model the electron is of finite size and possesses both a rest mass m_e, as well as, a Born mass m_e^B = 74,000 m_e, which arising from the energy contained within the surrounding electric field. Prior work has shown how this model quantitatively explains Dark Energy (Astrophys Space Sci 365, 64 (2020), Phys Sci Forum 2, 9 (2021)) and Cosmic Inflation (Sci Rep 13, 21798 (2023)) - see poster. The Born mass acts as a Dark Matter particle in this theory, where two Born masses experience a gravitational repulsion due to the equation of state of w = -1. In this model a large central mass M (eg. a spiral galaxy) is surrounded by a gravitationally stable halo of m_e^B particles of typical halo radius ~ 100kpc. The gravitational stability arises from attractive m_e^B – M and repulsive m_e^B – m_e^B interactions. From the linearized Poisson-Boltzmann equation the rotational velocity, V_eBDM(R), due to this halo of Born masses is readily determined as a function of the radial distance R from the galactic center. A model composed of 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 both the Milky Way and M31 galaxies. For details see Sci Rep 14, 24090 (2024).