If the galaxies are twice as bright, you could just as easily double the number of large stars in a galaxy.
I live for the day when you will actually pay attention. No, as a matter of fact, you could not, easily or otherwise, double the number of large stars in the galaxy.
But just looking at the standard main sequence mass (M) - luminosity (L) relationship (L = M3.5) ...
The mass luminosity relationship for main sequence stars is extremely well established. The relationship is between the luminosity and the
mass of the stars, not the number of stars. If I double
L to
2L then I have to increase
M by 1.2 so that
M3.5 will also double to
2(M3.5) (a little diddling shows that a more precise number is 1.21903, close enough to 1.2 for the purpose of this discussion). Whether or not the stars in question are high mass or low mass is irrelevant. The total amount of "missing" mass is derived from the mass-luminosity relationship directly, and that total mass is what really counts.
So, when you ask ...
Care to explain why you picked the 1.2 number in the first place ...
I reply that I did not "pick" it, I "calculated" it, using the physics of stars as we know it. I did not arbitrarily ASSUME that I could just double the number of any old class of star I wanted to, the way you think I should have. I used real physics instead. Physics is good for you, try it some time.
If we look at the second paper, we can also throw in some more mass due to our underestimation of the number of small stars that we can't see as compared to the number of larger stars that we can observe.
Paper? What "paper"? You didn't link to any papers, just press releases. Is this the one you mean:
Galaxies Demand a Stellar Recount, from my old Alma-Mater
JPL? Well, no, actually, you can't just "throw in some more mass" (How much more? Double? 10 times? 1000 times?). But let us first look at the press release and notice something important.
First, we see this: "
Astronomers has long known that many stars are too dim to be seen in the glare of their brighter, more massive counterparts. Though the smaller, lighter stars outnumber the big ones, they are harder to see." So there is nothing really new & exciting here, since "astronomers have long known ..."
Secondly, we find this: "
Beginning in the 1950's, astronomers came up with a method for counting all the stars in a region, even the ones they couldn't detect. The devised a sort of stellar budget, an equation called the 'stellar initial mass function', to estimate the total number of stars in an area of the sky based on the light from only the brightest and most massive." Now, in this case, that last sentence is not quite right, because it gives the false impression that only the bright massive stars are considered in constructing a stellar initial mass function (IMF). But no, it is more correct to say that the IMF is constructed from the total luminosity of all the stars we can see (which includes quite a few dim and not-so-massive stars), and the luminosity considered in the context of models for the star formation process. That's where the IMF really comes from (haven't I warned you about those PR-thingies?)
Now let me point out that while your "paper" was actually just a press release, the
real paper is here:
Evidence for a Nonuniform Initial Mass Function in the Local Universe, Gerhardt Meurer,
et al., The Astrophysical Journal 695(1): 765-780, 10 April 2009.
Before we go any further, we should have some idea what the
initial mass function really is and what it really means. It is simply a count of the number of stars in a given mass range, usually expressed as a power law or sum of power laws. Immediately we see that changing the IMF does not necessarily have any effect at all on the total mass, but only on how that total mass is distributed amongst the various stellar classes. That's important.
Now, look at the abstract for the paper (the real one), wherein we find: "
We outline a scenario of pressure driving the correlations by setting the efficiency of the formation of the dense star clusters where the highest mass stars form". The authors are reporting that the correlation between far ultraviolet (FUV) and hydrogen-alpha (H-alpha) emission from various types of galaxies in the local universe is not uniform, which implies (as the title of the paper explicitly states) that the IMF is not universal in the local universe (i.e., it's not the same everywhere). Furthermore, they are arguing that in many cases, the efficiency of star formation in real galaxies is slightly tilted in favor of creating more high-mass stars and fewer low-mass stars than the commonly used IMFs (e.g., the Salpeter IMF, which is most common) would suggest.
In fact, upon reading the paper, it becomes quite clear that the observations & implications published here have nothing to do with the total mass and involve only the manner in which that total mass is distributed amongst the stars. So we have perhaps fewer low-mass stars and more high-mass stars, but the total mass does not change. Furthermore, we see that this is not the case everywhere; you cannot claim that the star counts are skewed in all galaxies, only in some. After all, like the title of the paper actually says, there is "evidence for a nonuniform IMF in the local universe". If you want to carry this study to the extreme conclusion that it requires a reassessment of the total mass, then you have to start ASSUMING things which have no motivation or basis in fact or observation.