A Model for the Formation of Dark Matter in the Universe

In order to create a model for the formation of dark matter in the universe, the displacement equation is used for changing the state of an elastic medium in a linear approximation. A localized microparticle located in the pre-galactic space is characterized by a point inclusion defect, i.e. center of dilation. Dilation is modeled by using divergence. Attention is drawn to the relation, according to which the value of the Burgers vector is defined as the circulation of the displacement differential. The concept is used, according to which two centers of dilation interact only when these centers are in direct contact. Anotion is taken into account, by which the divergence is equivalent to the derivative of the abundance function with respect to the molar volume. The Gibbs thermodynamic potential is taken as the abundance function. As a result of finding the derivative of the abundance function with respect to the molar volume, a quadratic algebraic equation has been obtained, the solution of which makes it possible to determine the volume in which dark matter is formed. The dark matter formed in this way is in a circular state, i.e. in rotation. The centripetal force condenses the electron gas to the density of a single electron. Dark matter is formed in the form of an uncountable number of rotating electron balls in the pre-galactic spaces of the universe.