Rotational Curves of the Milky Way Galaxy and Andromeda Galaxy in Light of Vacuum Polarization around Eicheon

TL;DR

This paper proposes a model where vacuum polarization around an eicheon explains the dark matter tails in the rotational curves of the Milky Way and Andromeda galaxies, aligning with observed galaxy rotation profiles.

Contribution

It introduces a novel approach using eicheon boundary conditions to model vacuum polarization as dark radiation, reproducing galaxy rotation curves.

Findings

Successfully reproduces the Milky Way's rotational curve shape.

Provides a theoretical explanation for dark matter as vacuum polarization.

Discusses rotational curves of both Milky Way and Andromeda galaxies.

Abstract

Eicheon properties are discussed. It is shown that the eicheon surface allows setting a boundary condition for the vacuum polarization and obtaining a solution describing the dark matter tail in the Milky Way Galaxy. That is, the dark matter in the Milky Way Galaxy is explained as the F-type of vacuum polarization, which could be treated as dark radiation. The model presented is spherically symmetric, but a surface density of a baryonic galaxy disk is taken into account approximately by smearing the disk over a sphere. This allows the reproduction of the large distance shape of the Milky Way Galaxy rotational curve. Andromeda Galaxy's rotational curve is also discussed.