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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2405.10336 |
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| _version_ | 1866909205756116992 |
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| author | Nesbet, Robert K. |
| author_facet | Nesbet, Robert K. |
| contents | Numerous dark matter studies of galactic halo gravitation depend on models with core radius $r_0$ and central density $ρ_0$. Central surface density product $ρ_0 r_0$ is found to be nearly a universal constant for a large range of galaxies. Standard variational field theory with Weyl conformal symmetry postulated for gravitation and the Higgs scalar field, without dark matter, implies nonclassical centripetal acceleration $Δa$, for $a=a_N+Δa$, where Newtonian acceleration $a_N$ is due to observable baryonic matter. Neglecting a halo cutoff at very large galactic radius, conformal $Δa$ is constant over the entire halo and $a=a_N+Δa$ is a universal function, consistent with a recent study of galaxies that constrains acceleration due to dark matter or to alternative theory. An equivalent dark matter source is a pure cusp distribution with cutoff parameter determined by a halo boundary radius. This is shown here to imply universal central surface density for any dark matter core model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10336 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conformal theory of central surface density for galactic dark halos Nesbet, Robert K. General Physics Numerous dark matter studies of galactic halo gravitation depend on models with core radius $r_0$ and central density $ρ_0$. Central surface density product $ρ_0 r_0$ is found to be nearly a universal constant for a large range of galaxies. Standard variational field theory with Weyl conformal symmetry postulated for gravitation and the Higgs scalar field, without dark matter, implies nonclassical centripetal acceleration $Δa$, for $a=a_N+Δa$, where Newtonian acceleration $a_N$ is due to observable baryonic matter. Neglecting a halo cutoff at very large galactic radius, conformal $Δa$ is constant over the entire halo and $a=a_N+Δa$ is a universal function, consistent with a recent study of galaxies that constrains acceleration due to dark matter or to alternative theory. An equivalent dark matter source is a pure cusp distribution with cutoff parameter determined by a halo boundary radius. This is shown here to imply universal central surface density for any dark matter core model. |
| title | Conformal theory of central surface density for galactic dark halos |
| topic | General Physics |
| url | https://arxiv.org/abs/2405.10336 |