A minimal and alternative model to dark matter. An illustrative application to the galactic rotation problem
Résumé
The measurement of the couple velocity/acceleration and of the gravitational field intensity at a given location in a galaxy could potentially be induced in an unexpected manner by the environment of the observer, for instance the local mean mass density in the galaxy. This contingency, mathematically supported by the asymmetric distance concept, is here illustrated by a study bearing on the rotation of spiral galaxies. This suggestion is new in the astrophysics field (it is named in the following κ-model) and could help to mimic the main effects seen in the MOND theory, in models of modified gravity (MOG), or in other related ones built with the aim to eliminate the dark matter, and which are already well established theories. Thus starting from two selected examples of galaxies, we show in the paragraph 5 that there is an equivalence between MOND and the κ-model. However, the question about whether the paradigm considered in the present paper is eventually just a simple mathematical inquisitiveness and nothing more, or is a real physical insight, may legitimately be put; but its great interest is that it is not artificially parametrized and is sufficient in itself, with the only presence of the baryonic matter and it is a major issue. In this sense it is more easily refutable than any other theory postulating the existence of a large variety of exotic particles with unknown, and which can be changed at will !, characteristics. Especially, at the opposite side, there is the speculative nature of the dominant paradigm, the elusive dark matter, a matter whose the properties remain always undefined, in spite of intense theoretical and observational efforts for the past half century and more !
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