https://doi.org/10.1140/epjs/s11734-025-01968-3
Regular Article
Black hole–dark halo system as hidden structure of galaxies
Plasma Astrophysics Laboratory, Institute for Global Science, Mie, Japan
a
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Received:
19
June
2025
Accepted:
16
September
2025
Published online:
6
October
2025
Abstract
A prototypical higher-dimensional model of galactic structure is constructed on the basis of a superfield theory that deals with an internal space independent of background continuum. I provide a symmetric representation of the particle and central black hole singularities, which are crucial for spatial transformation between our conventional space and extra-dimensional space. By the operational transformation, a scalar field in an infinite region of the internal space is linked to renormalized, singular potential solution of self-gravitating isothermal sphere without its singularity. The generated logarithmic potential field is found to reproduce flat rotation curve of galaxies. Mass of the black hole is connected with the velocity dispersion of the galactic bulge via the internal scalar field. Dual nuclear pion-cloud picture of the dark halo is also provided. The internal coupling of the black hole with the dark halo might be essential for the evolution of baryonic galaxies and universe.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

