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Up to now, the rotational velocities of galaxies are not clearly understoodand the experimental Tully Fisher rule, linking the total galactic mass to thefourth power of the velocity, through an acceleration coefficient of about10-10 m/s2 has not found a deep theoretical explanation. Tentative proposals(MOND theory of a modified Newton s law and extraneous dark matter) do notbring a definite clarification. We propose here a new approach to this problem,without exotic matter and using the classical Newton force. But we introduce anew additional universal acceleration, which could represent a universalexpansion law valid at the scale level of a galaxy. We show that thishypothesis leads to a good description of the observed variations of thegalactic transverse velocity. It can be considered as a consequence of theScale Expansion Cosmos theory (SEC) introduced by J. Masreliez, but wepostulate that the space expansion acceleration universally applies at anyscale. We obtain a formal derivation of the Tully Fisher law, linking theconstant galactic transverse velocity to its total mass, via the universalminimum acceleration. We derive a good estimate of the TF accelerationcoefficient and show that expansion should be proportional to the square rootof the local volumic mass density. Our conjecture is in fact a new dynamicsprinciple which could be applied to many other physical problems at differentscales. Applying it to the range of the solar planet system confirms the wellknown Kepler laws, at least as a valid approximation for the order of magnitudeof the solar system.

Towards a new generalized space expansion dynamics applied to the rotation of galaxies and Tully Fisher law