**Authors:** M. Abarca

After the success of the DG theory explaining the data known for DM in M31 and Milky Way and published in [1] Abarca,M., it is right to check the same theory in M33, because DG theory aims to be a universal theory as it is based on a quantum gravitation effect. Taking as starting point the remarkable rotation curve of Corbelli,E , and applying DG theory it has been possible to show that DG matter in M33 cannot explain the total amount of DM needed to justify the rotation curve of M33. Therefore, it has been postulated that the extra amount of DM is dark baryon. Even such mass has been estimated roughly. Similarly, thanks a rotation curve of LMC got by Vasiliev,E. and applying DG theory has been demonstrated that in LMC there is a DM proportion at least four times bigger than such proportion in MW. Therefore in order to preserve the DG theory as universal based on a property of gravitational propagation, it has been postulated the existence of an important amount of dark baryonic. Consequently this conclusion arises an extraordinary test to check the DG theory. Currently, it has been published a method called nanolensing which might be applied to search a type of dark baryon called SULCOs (Sub Lunar Compact Object) in Milky Way and LMC. Possibly, it could be made measures of DB in the Milky Way and LMC in a close future. If measures backed the proportion of DB predicted by the theory then DG theory would be a real theory able to explain DG as a universal law. A second important result showed in the paper is related to the concept of Dark Gravitational mass, DG, because according the theory, the calculus of DG mass has to be extended up to the distance where is placed the interacting system. For example, when it is studied the interaction between M33 and M31, the distance to calculate the DG mass has to be 220 kpc, not only for DG mass of M33 but also for M31, whereas when it is studied the interaction between MW and M31 then both DG masses has to be calculated for a distance of 770 kpc. By DG theory has been found a lower bound for total masses of M33 and LMC. It has not been possible to calculate a more accurate value of masses for both galaxies because the rotation curve published are a bit short and even at the furthest radius of rotation curve, the proportion of baryonic matter versus DG mass is too high to be neglected. Consequently the parameter C, which is the initial condition of a Bernoulli differential equation, cannot be calculated properly. It would be suitable new measures of rotation curves of M33 especially for radius bigger than 23 kpc in order to calculate parameter C with more accuracy. It worth to highlight an interesting property of DG mass formula, which is that its value tends to a finite value, Mo, as variable X grows indefinitely. Physically is important that mass does not tend to infinite. However the NFW formula for mass tends to infinite as x grows, so it is only right inside a bounded halo dominion. Similarly it happens with Burkert DM mass, which is unbounded as x grows. Another important result got in this paper is a very good estimation of Local Group total mass. According [13]Fattahi & Navarro the dynamical mass at 3 Mpc in the Local Group gives a mass of 10^13 Msun. Calculus made with DG theory at such distance gives a total mass bigger than 7*10^12 Msun, when it is considered M31, M33, Milky Way and LMC, obviously when is added the total mass of the rest of dwarfs galaxies of Local Group the total mass will be even more close to the value estimated by Fattahi & Navarro. There is no doubt that this is a magnificent result for DG theory.

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[v1] 2019-11-12 13:28:39

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