A Natural Explanation of Dark Matter based upon Hawking’s Cosmology and an Improved Prediction Algorithm for Galaxy Rotation Curves and Cluster Velocity Dispersions

Hawking’s cosmology logically leads to an observed multiverse. This article proposes a hypothesis for the physical nature of dark matter, derived from his cosmology. This article argues it is the effect of a superposition of all the 165 possible 3-dimensional universes in an 11-dimensional space, of which zero up to two dimensions overlap with our universe. Nothing that could disturb this superposition exists outside it. This, with the dimensions of strings in String theory, explains why dark matter causes a linear decrease in gravity with distance to visible mass at large radii in galaxies. To support this, the visible matter distribution in the disks and bulges, calculated by the SPARC team, and the observed rotation velocities are used. Lelli and Mistele showed that the common way to project dark matter halos around galaxies cannot be valid. In this article it is shown a valid alternative is to model dark matter as a result of the compactified dimensions in String theory and the way gravity from superposed universes acts through them. This as well explains the weak effect in the centre of galaxies and the strong effect at larger distances as well as the rapid development of large galaxies in the early universe as reported by Labbé. A new prediction method for rotation velocities, that works at all radii in galaxies, is 27 % more accurate than MOND. In galaxy clusters the improvement of the predicted velocity dispersions compared with MOND is 44 % over a huge range of cluster masses.