This idea was already considered in this blog [1]. Indeed, why we consider the rotation of stars in the galaxy being equivalent to planets? The stars are generating a lot of energy, and if the mechanism is present transforming only ~1% of this energy into rotation, it may easily explain the rotation curve of any galaxy. The hint is actually Tully-Fisher relation [2] - brighter galaxies are rotating faster compare to dimmer one. What if indeed such mechanism is present (and indeed the original relation was for brightness of the galaxies - amount of energy they are generating- not about mass, it is merely assumed that brighter galaxy has higher mass, which after all may be not true). In[1] it was hypothesized that such idea is possible because of "heavy light" - light inside the stars is moving much slower (the effective refraction coefficient is >100) and thus gravitating strongly, but the direct evaluation of this effect using binaries demonstrated that this effect even if present is way too weak to be responsible for the too fast rotation of galaxies [3].
However, recent observation of the very large sizes of supernovae at high Z [4] leads to the idea of the dark matter being represented by some ultralight particles (femto to pico eV total mass) which do interact with light somehow (not "dark matter" after all) [5]. The present day search for extremely light particles interacting with light and predicted by Standard Model (axions) is well justified in this content - it is approximately what the so-called "dark matter" most probably looks like. I am expecting they will be discovered relatively soon (unfortunately they are enormously light in mass and thus discovery is enormously difficult). And those particles interacting with light indeed easily explain the so-called cusp problem [6] (why in the center of galaxy like Andromeda galaxy the concentration of "dark matter" is so small, if this matter is interacting only gravitationally [7]).
The other property of such "light matter" halo around the galaxy is that it may create the mechanical feedback loop necessary to transform energy of light into the rotation of the galaxy:
It is obvious that in such a dynamic system due to the slightest always present fluctuations the static equilibrium will be broken and dynamic equilibrium will corresponds to mixture of rotation and oscillations. Because of the presence of stars generating energy the positive feedback will quickly transform the galaxy into the open system similar to vortex in the bathtub. If the energy supply is high enough - it will generate the similar pattern and will rotate approximately as a solid body starting from certain distance from the center - exactly what is observed. If the energy is not enough - no rotation, the attrition between stars will work like a friction [8] and prevent rotation like in an elliptical galaxy.
Afterall the galaxy rotation being similar to the bathtub water swirl may be due to the fact that both of them are open systems and not because of strangely looking "dark matter" which in reality is "light matter" and responsible for the transformation of the energy of thermonuclear synthesis into the mechanical energy of rotation.
References.
2.Tully–Fisher relation - Wikipedia
https://vixra.org/pdf/2007.0195v1.pdf
6.Cuspy halo problem - Wikipedia
7.Dark matter fraction derived from the M31 rotation curve | Astronomy & Astrophysics (A&A)
https://www.aanda.org/articles/aa/full_html/2025/02/aa52753-24/aa52753-24.html
https://pubs.aip.org/aapt/ajp/article-abstract/75/2/139/1056314/An-introduction-to-dynamical-friction-in-stellar?redirectedFrom=fulltext
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