Origin of the logarithmic correction to the Newton's law in the presence of a homogeneous gas of wormholes

TL;DR

This paper proposes that a fractal gas of wormholes in the early universe modifies Newton's law through a scale-dependent correction, supported by galactic observations indicating fractal properties.

Contribution

It introduces a novel scenario where a wormhole gas causes a logarithmic correction to gravity, linking topological structure to observable galactic phenomena.

Findings

Logarithmic correction to Newton's law observed in galaxies.

The correction is due to the fractal distribution of wormhole throat ends.

Potential to reconstruct wormhole distribution from observational data.

Abstract

We suggest a new scenario in which the Universe starts its evolution with a fractal topological structure. This structure is described by a gas of wormholes. It is shown that the polarization of such a gas in external fields possesses a spatial dispersion, which results in a modification of the Newton's law. The dependence on scales is determined by the distribution of distances between throat ends. The observed in galaxies logarithmic correction confirms that the distribution has fractal properties. We also discus the possibility of restoring such a distribution from observations.