[Physics] What did recombination look like

cosmic-microwave-backgroundcosmologyradiation

I recently remembered that someone worked out what the big bang sounded like and that got me thinking…

About 377,000 years after the Big Bang, electrons became bound to nuclei to form neutral atoms. Because of (?) this, the mean free path of photons became effectively infinite, i.e. the universe became transparent to radiation.

What would this have looked like?

More precisely I could ask: did the sky suddenly become dark, or was the amount of radiation basically same after as before?

What would the distribution and timescale have been like? In a perfectly homogeneous universe it would happen at the same rate everywhere. Did the universe have any structure at this point? Would you have been able to see blotches of lighter and darker patches of the sky (assuming you were within one of the more transparent patches), these being proto-shapes of galactic filaments perhaps, or the noisy grit of the CMB? Or would it just be a vague cloud at any scale, and in any part of the spectrum?

Best Answer

The universe about halfway through recombination (it was a long process but at the halfway point, it's flips to being mostly clear), much like the universe today, has a temperature. Today the temperature of the universe is about 2.7K, but at recombination it was around 4000K. This temperature corresponds to the blackbody radiation profile of the universe. Thanks to inflation, this radiation profile is almost perfectly isotropic and almost perfectly fitting to a perfect blackbody curve (He said, perfectly overusing forms of the word "perfect" in this perfect sentence).

At the time of recombination, the universe turned from an opaque mess to clear space. But what did it look like? Today, empty space looks black. If you stare out to the farthest reaches of emptiness, you'll see nothing. The nearly isotropic background radiation produces a temperature profile for a 2.7K curve. Most of the energy of that curve is way outside the range of the visible spectrum, which is why empty space appears black. At recombination, our isotropic radiation profile corresponds to 4000 K and looks something like

enter image description here

I made this plot using Mathematica and you can see that the visible spectrum resides in a significant portion of the emitted radiation. So that means if you were to stare out into the abyss of empty space at the time of recombination, empty space would look like one solid, non-black colour (it's actually an orange colour). It would also be excruciatingly intense. Imagine if everywhere you looked was like looking at the surface of a star (On the bright side, you wouldn't have to worry about vampires any more).

As time goes on and the universe keeps expanding, this background colour will (relatively) soon fade (red-shift) to the black we know so well today.

If you want to see the specific colour that we would perceive at recombination or at any other temperature, go to Wolfram|Alpha and type in "Wien displacement law for [T] K" except replace the [T] with a desired temperature (4000 for our case).

Think that's cool? Then think about this: the original colour of empty space (and if you're an originalist, the true colour) is not black, it's orange. Before this, empty space was hotter, but it was opaque so we can't really talk about the colour of empty space then. And before nucleosynthesis is too short of an amount of time to count. So space is originally orange, it just shifted to black because it expanded. Mind=blown

What the hay, here's the colour we'd perceive empty space looking like: enter image description here

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