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Pré-Publication, Document De Travail Année : 2024

Some geometric perspectives related to the kappa-model

Gianni Pascoli
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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.
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hal-04568890 , version 1 (16-05-2024)



  • HAL Id : hal-04568890 , version 1


Gianni Pascoli. Some geometric perspectives related to the kappa-model. 2024. ⟨hal-04568890⟩


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