There is only one of two possibilities: (i) either dark matter exists or dark matter does not exist. We consider one single conjecture, valid in both cases. If it doesn’t exist, then huge quantum electromagnetic interactions might account for the galaxy rotation curve. If it exists, then there might be a “dark charge” associated with dark matter. The dark charge would then be governed by an alternative “dark electromagnetic” theory, which can be totally independent or perhaps a generalization of the ordinary electromagnetism. This proposal is highly speculative and it needs both mathematical and experimental further investigation in order to be proved or disproved.
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 77, 2020 [CZ]