Phase Shift of the Keplerian Orbits inside Dark Matter Halos

Saoussan Kallel-Jallouli
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Saoussan Kallel-Jallouli: Faculté des Sciences de Tunis; Department of Mathematics, Université de Tunnis El Manar, LR03ES04, Tunis, 2092, Tunisia

International Journal of Research and Scientific Innovation, 2024, vol. 11, issue 11, 500-517

Abstract: A new theory proposed the existence of a new kind of unseen staff named “Zaman†, responsible for the flow of time by its spin. Zaman solves the Dark Matter enigma. Moreover, for an isolated Zaman spherical halo U with differential rotation, if the relation between the radius of each shell R and the length T of its day is Keplerian; that is T2/R3 is constant, then, we proved the known linear Hubble relation is satisfied. In this work, we shall see how some distances can be elongated. We shall prove the Keplerian trajectories are discontinuous. More precisely, after each period, any test particle inside U will receive an instantaneous kick-off to be shifted from its initial orbital phase.

Date: 2024
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