Monte Carlo Study of Vector Field-induced Dark Matter in A Spiral Galaxy

by Stefan von Weber and Alexander von Eye.

Abstract: In this article, we broaden the membrane model by an additional property of the membrane - the resistance in a homogenous vector field. A membrane that is stretched exactly perpendicular to the vector field has no resistance. However, if the membrane is deformed under the influence of baryonic matter, the flow of the vector field is deflected by the fine structures of the membrane, and a lateral, sloped force acts, increasing the resistance of the membrane. Simulations show that the interaction of the homogenous vector field with the membrane is an appropriate candidate for the explanation of dark matter. Inside the radius of a spiral galaxy, the increase of the elastic energy of the grid leads to an amount of dark matter comparable to the baryonic mass of the galaxy. However, if one considers the space surrounding the galaxy, this ratio increases to a value of 6 to 1. The rotation curve becomes flatter under the influence of the dark matter interaction, and the average speed is increased. An estimation of the action of this dark matter type inside the solar system shows that the portion of dark matter of the sun mass is negligibly small. This applies accordingly to the change of gravitational acceleration.

Key Words: Monte Carlo, vector field, membrane, dark matter, interaction

Authors:
Stefan von Weber, webers@hs-furtwangen.de
Alexander von Eye, voneye@msu.edu

Editor: Richard G. Graf, rgraf@sunstroke.sdsu.edu rgraf@sunstroke.sdsu.edu

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