Authors: E.P.J. de Haas
In this paper I introduce a new Dark matter hypothesis. I assume that every elementary particle has a Dark Matter halo. Given a rest mass m_0 at r=0, it will have an additional spherical Dark Matter halo containing an extra mass in the sphere with radius r as m_DM = (r/R_DM)m_0 with the constant Dark Matter radius R_DM having a measured value somewhere in between 10 kpc and 20 kpc, so approximately once or twice the radius of an average luminous galaxy. The total rest mass of an elementary particle contained within a sphere with radius r will then be given by m = m_0 + (r/R_DM)m_0. The correlated mass density is \rho_DM = m_0/(4 pi r^2 R_DM). The new Newtonian gravitational energy will be U_g = - GM_0 m_0/r - G M_0 m_0/R_DM resulting in an unchanged Newtonian force of gravity but with a correct galaxy velocity rotation curve, due to the still applicable virial energy theorem. The axiom is theory of gravity neutral because it is a statement about mass and mass density distribution only. But it implies that WIMP's and the like aren't necessary to explain Dark Matter; my proposal isn't WIMP neutral. Beyond the scale of galaxy clusters the model becomes problematic due to an extra halo halo interaction term becoming active at that scale.
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[v1] 2015-09-20 07:29:41
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