Quote:
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Originally Posted by grav
Quote:
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Originally Posted by Cougar
Then there's the dark matter effect, and its distribution....
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Well, dark matter was actually introduced to account for this effect, that of the rotation speed curves, but it may just simply lie within the geometry and mass distribution itself. But some relatively accurate level of the geometry and mass distribution must be known, or at least theorized according to the results of the integrations themselves. As well as this, the correct integrations must also be performed. This does not appear to be the case with some of the earlier models for galaxies, incorporating spheres for simplicity and rings used in the same way as spheres, which led to the hypothesis of dark matter to begin with. But that is what I am working on now.
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By the way, to be fair, this is not saying that a galaxy is regarded in the same way as a sphere. If that were the case, the force would climb in direct proportion to the distance all the way to the rim, and the rotational speed would be constant, so that the entire galaxy should rotate together with the same period of rotation for all points. The rotational speed at the rim, figuring for the total mass and radius of the Milky Way galaxy would then be about twice as great as is observed, which would actually require some form of "negative" dark matter, or lesser matter to account for the lesser speed observed at the rim. Also, if regarded as just a thin disk of uniform density, then the rotational speed would be expected to climb very rapidly at the rim, so a leveling off of the rotational speed would also require some form of "negative" dark matter. As it is, though, the rotational speed is predicted to climb in the same way it is observed to do up to some peak and then drop back down, but instead it just levels off at the peak, as shown in
this link. The difference between the predicted curve and that of a geometry incorporating a uniform density would be that of the predicted mass distribution for the galaxy. I guess my next step, then, is to find the mass distribution that would give a curve that matches that for the predicted curve for a galaxy and go from there.
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Let's put together the pieces of
The Grand Puzzle . (website)
"Let's define another operator, Sz, which we won't pay any attention to."
"This transformation will automatically make zero equal zero."
"It may be true that zero equals zero -- and that is certainly an equality -- but I don't want to go into the details at this time."