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Originally Posted by RussT
[how we get from BH back to a matter-creating mini-BB.] This, I believe, is one of the misconceptions.
When the GRB Singularity explodes 'into' our universe, the Gamma Rays, Gamma Radiation, Energy, is what is 'spewed'. The duration of this explosion determines, how much Gamma Radiation is 'spewed', (the size of the galaxy) and once it cools enough to start forming Hydrogen, Helium, and Lithium, and is gathered back together enough by the "Black Hole" created by the GRB explosion (size, also determined by duration), then it can begin the star making process for that galaxy.
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OK I understand what you're saying now. Let's look at some numbers then to see if this makes sense:
Planck's constant (h) = 6.626e-34 J/s
gamma ray wavelength (
λ) = 1e-12 m
GRB luminosity (L) = 1e50 J/s
"Only about one baryon for 10^9 photons, as inferred from the 3K background and density estimates. Since the conservation of baryon number is a strong conservation principle, it is inferred that the ratio of photons to baryons is constant throughout the process of expansion."
The energy (E) of a gamma ray photon is hc/
λ or ~2e-13 J. This means a typical GRB emits L/E = 5e62 photons/sec.
Observations estimate the photon:baryon ratio of this process to be 1billion:1, so our GRB is going to create ~5e53 hydrogen atoms per second. If a typical star weighs 2e33 grams then it contains ~2e57 atoms of hydrogen. This means a GRB wouldn't generate enough energy for even a single star in terms of baryons.
We would need a photon:baryon ratio of about 100000:1 to generate enough for 1 star per second of GRB duration, still far short of the billions of stars needed for a large galaxy.
So your model as it is fails the OOM (order of magnitude) test,
RussT. A 1:1 ratio starts to bring things into line, maybe you can do some research into how that ratio is determined?
(edit: 1^9 typo fixed to 10^9)