Distribution of energy after matter/antimatter annihilation

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After the Big Bang, matter and antimatter annihilation produced a vast number of energetic photons, yet the current radiation content of the universe is considered negligible compared to matter. This is due to the differing rates at which energy densities of matter and radiation dilute as the universe expands; radiation dilutes faster, dropping as 1/a^4 compared to matter's 1/a^3. Initially, radiation dominated the energy density of the universe, but as it expanded, matter became more prevalent. Presently, there are still approximately 100 million photons for every nuclear particle, but their energy is now mostly in the low-energy microwave region. Thus, the energy from those early photons has become diluted over time, leading to their current negligible contribution.
ft_c
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Hi all

Maybe a quick question!

After the big bang and inflation, a little while later there is the mass annihilation event where 10 billion matter particles and 10 billion anti matter particles annihilate, sending out energetic photons. For each 10 billion annihilation events there is one remaining matter particle (or 2? whatever.. :)

So the contribution to the energy content of the universe from photons should be 10 (or is it 20) billion times more than that of matter. But as we're told, by like wikipedia and books and stuff, the radiation content of the universe is negligible...

What's going on there? Where have all those photons gone? Or where has their energy gone, I don't think the expanding universe/photons can cover all that!

Thanks!
 
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ft_c said:
Hi all

Maybe a quick question!

After the big bang and inflation, a little while later there is the mass annihilation event where 10 billion matter particles and 10 billion anti matter particles annihilate, sending out energetic photons. For each 10 billion annihilation events there is one remaining matter particle (or 2? whatever.. :)

So the contribution to the energy content of the universe from photons should be 10 (or is it 20) billion times more than that of matter. But as we're told, by like wikipedia and books and stuff, the radiation content of the universe is negligible...

What's going on there? Where have all those photons gone? Or where has their energy gone, I don't think the expanding universe/photons can cover all that!

Thanks!
Radiation dilutes faster than matter. As the universe expands by a factor of ##a##, the energy density of matter drops as ##1/a^3##, while the energy density of radiation drops as ##1/a^4##. This is because radiation redshifts as the universe expands.

In the very early universe, radiation was the dominant energy density of our universe. But it diluted until matter had a higher energy density.
 
Ahh right yes, thanks very much!
 
The energy density of the radiation (largely in the CMB) is negligible compared with matter, Dark Matter and Dark Energy, however that is because the energy of each photon (now largely in the microwave region of the spectrum) is so low.

There are still 108 photons to every nuclear particle.

Garth
 
Garth said:
The energy density of the radiation (largely in the CMB) is negligible compared with matter, Dark Matter and Dark Energy, however that is because the energy of each photon (now largely in the microwave region of the spectrum) is so low.

There are still 108 photons to every nuclear particle.

Garth
This is true now. It wasn't true in the very early universe: before our universe was ~75,000 years old, radiation had a higher energy density than matter (normal + dark).
 
Of course, as you said in your post #2. I was emphasizing the present day situation.

Garth
 
https://en.wikipedia.org/wiki/Recombination_(cosmology) Was a matter density right after the decoupling low enough to consider the vacuum as the actual vacuum, and not the medium through which the light propagates with the speed lower than ##({\epsilon_0\mu_0})^{-1/2}##? I'm asking this in context of the calculation of the observable universe radius, where the time integral of the inverse of the scale factor is multiplied by the constant speed of light ##c##.
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