Abstract
We discuss the possibility that the distribution of relic wormholes may possess fractal properties. Relic wormholes and their fractal distributions are predicted in a natural way by lattice quantum gravity models. This provides a new approach to some long standing problems. That is the nature of dark matter phenomena, the origin of Faber-Jackson and Tully-Fisher relations and the observed deficit of baryons. We derive corrections to the Newton’s potential caused by the presence of relic wormholes and show that the analysis of dark matter distribution in galaxies allows us to fix the parameters of the fractal distribution of wormholes.
Highlights
The nature of dark matter represents one of the most challenging problems of modern astrophysics
The presence of wormholes was shown to produce a specific modification of the standard Newton’s law [29,30]. If we interpret this as a dark matter phenomenon, we find the rigid relation between the distribution of visible and dark components in a galaxy in the form ρDM(k) = b(k)ρvis(k), where ρ(k) is the Fourier components for dark and visible matter densities and b(k) corresponds to the correction, which depends on the distribution of wormholes around the galaxy
We have demonstrated that the most natural origin of dark matter phenomena relates to the existence of a locally complex or fractal topological structure of our Universe
Summary
The nature of dark matter represents one of the most challenging problems of modern astrophysics. Every source of gravity (or radiation) has multiple images in the covering of total Lobachevsky space, which automatically restores the homogeneity and isotropy of the background but produces dark matter effects in local inhomogeneous structures (e.g., in galaxies). If the inflation starts in an open model, the factorization takes place at sub-Planck scales, while the subsequent particle production may change the value of the mean spatial curvature and produce flat or even closed space, which depends on the rate of particle production. This causes many problems that require further and more deep investigation. The absence of such may suggest a constraint on the form of the distribution of these wormholes in general (e.g., low distribution of certain sizes)
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