Frank, 

> On May 13, 2020, at 7:31 AM, Frank Wimberly <wimber...@gmail.com> wrote:
> 
> When I worked at the PIttsburgh Supercomputing Center, a division of CMU, we 
> had a user who produced a visualization of the first few milliseconds after 
> the big bang.  How can they do that?
> 
> Didn't Penzias and Wilson win the Nobel Prize for showing that the background 
> radiation caused by that event is what radio telescopes hear/see that they 
> can't otherwise account for?

Yes, this is correct.  There is a big time difference, though.  The microwave 
radiation we see as the CMB is the last image of a matter-radiation equilibrium 
just before a plasma of free electrons and nuclei (which couples actively and 
continuously to the radiation field in which it is embedded, and is thus 
“opaque") condensed into the first neutral atoms, which are mostly transparent 
to that radiation.  The event is called “recombination”, even though there had 
been no combination before that, and it is reconstructed to have happened at 
about 370k years after the Big Bang.  The non-uniformity of the CMB reflects 
fluctuations in the density of matter and radiation, which probably were mainly 
maintained through the inertia of matter, since just electromagnetic radiation 
would have smoothed faster.  (Although, exactly how much of this was imposed at 
distances larger than the causal horizon at that time, by inflationary initial 
conditions, is not something I know off the top of my head.).  All that to say, 
the CMB as we see it today is the image of what was even, at the time, a 
relatively low-energy transition, on the order of ten thousand degrees.

A 1ms simulation requires going through several much earlier transitions, but 
they are all still within physics that we can characterize in accelerators.  
The number I find on google is 10^12K, which is around 10^8eV, so less than 
1GeV, which is the characteristic energy scale for condensation of nucleons 
from strong interactions, and a factor of nearly 10^5 lower than the highest 
energies now characterized at the Large Hadron Collider.  That simulation could 
have been done within Enrico Fermi’s very earliest-generation representation 
for the interaction of pi mesons with nucleons, before even tackling the hard 
problems of predicting nucleon masses correctly from QCD, which dragged on for 
a few more decades.

A thing that is so strange is that, although these were very indirect to 
discover and technically difficult to reach, and hard to simulate well, they 
are still “simple” phenomena, in the sense of having few new organizational 
motifs required to be understood.  So a simulation of them is less of a problem 
in principle than a simulation of how the changes in a regulatory law should be 
expected to change the long-range possibilities for the trajectory of an 
economy.  

It’s all very strange, how these things fit together.

Eric




> 
> On Tue, May 12, 2020 at 3:59 PM Roger Critchlow <r...@elf.org 
> <mailto:r...@elf.org>> wrote:
> Jon --
> 
> It's a mystery to me.  I believe they are simply counting the number of 
> spectral lines at each wave number and plotting the histogram.  And the link 
> is between the now and the very long ago.  And I believe there's no reason to 
> expect this histogram to have any particular distribution at all?  It's just 
> a weird result.
> 
> -- rec --
> 
> On Tue, May 12, 2020 at 1:10 PM Jon Zingale <jonzing...@gmail.com 
> <mailto:jonzing...@gmail.com>> wrote:
> Roger,
> 
> I get the sense that this is a link between the very small
> and the very large, but I am far from being a physicist.
> Could you say more about this result?
> 
> Jon
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> Frank Wimberly
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