DaveC426913 said:
Just so we're clear: there is nothing wrong with spherical nebulae evolving into a disc nebula.
But this:
...is not it. So I don't know why you put it forth.
In a spherical nebula, all particles will follow their own path in orbit around the centre of mass.
I guess I really wasnʻt making myself clear. The point of my comment was that I did *not* think that a low-density nebula could rotate as a cloud. I made that statement as a horrible example, to illustrate how wrong such an idea must be.
Thereʻs no doubt that clouds evolve into disks, there are lots of examples to observe. Itʻs the mechanism of the evolution that I am interested in, and none of the stuff Iʻve read describes any mechanism that harmonizes with physical laws. The density of the protonebula is too low (mean free paths too long) for the usual thermodynamics to work, except in the sense that thermodynamics is, in a way, a treatment of the multi-body problem of 10^xxx particles interacting on a molecular scale. But the scales here are too large for normal thermodynamics. Water molecules, to pick one molecule as an example, probably form by collisions of individual atoms or radicals, of high enough energy to overcome molecular repulsion but not high enough to disrupt the bond. Molecular astronomy finds large numbers of fairly complex molecules in huge molecular clouds - "more ethanol than has been produced on Earth in all the history of mankind!" - that presumably form in this way where the energy density and matter density are Just Right.
What Iʻm really trying to do is to find out what is/are the generally accepted mechanism(s) for planetary nebula-to-disk evolution, and see if any of them are physically reasonable.
>In a spherical nebula, all particles will follow their own path in orbit around the centre of mass.
Precisely! And it seems likely that there would be, in such a chaos of intersecting orbits, on astronomical time scales, an astronomical number of collisions, that would play a major part in the evolution into a disk, for example, by mutual cancellation of out-of-plane components of angular momentum.
This is an unsatisfactory explanation from an Academic sense, of course, no mathematical treatment is offered.