The Dark Matter and Dark Energy in One Simple Explanation

A suggested new inverse-square law force, similar to Gravity, but it is coupled to angular momentum instead mass, explains without any further assumptions, the Dark Matter, predicting the flat rotation curves of galaxies, the Bullet Cluster, the Tully-Fisher relation, the existence of Dark Matter in galaxies' Halos, the absence of Dark Matter in our solar system and others, besides the Dark Energy with the smallness of its value. This force is negligible at small distances from the center of rotation of a given system. It increases with distance from the center until it dominates over the gravity force, which is shown to happen in the outer regions of galaxies or large-scale universe structures. hence, a force of the large-scale structures. This new force is mediated by particles carrying spin 2, which emerge naturally from gauging the Lorentz symmetry of spacetime and are coupled to the angular momentum density tensor as its source. The existence of this field is essential for completing the Einstein field of gravity, which dominates the smaller scales. The coupling constant calculated from the observed galactic parameters of this force appears to be so small that it cannot be detected in any laboratory, which may explain why "dark matter" has not been found despite extensive research. Dark Matter and Energy are shown to be just two different integrative parts of this single force. This paper includes the theoretical framework and down-to-earth calculations proving the above-mentioned arguments.