Some geometric perspectives related to the kappa-model
Résumé
Very recently, a straightforward way was proposed in order to understand the galaxy and galactic
cluster world without using the very elusive dark matter concept. This way was called κ-model
[1, 2, 3, 4]. The main idea is to save the form of the usual physical laws, especially the Newton’s
laws of motion when gravity is weak, but only by applying a local renormalization procedure for
the lengths, distances and velocities. This local renormalization appears as a correspondance
principle in the κ-model. In this model the fundamental physical constants remain universal, i.e.
are independent of the point and of time. The κ-model is Newtonian in essence but a relativistic
extension can easily be built. The aim of the present paper is to detail the mathematical
formalism supporting it.
Keywords : Galaxy, Galaxy cluster, dark matter, modified gravity, kappa-model.
Origine : Fichiers produits par l'(les) auteur(s)
