Thomson Scattering In the Early Universe

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SUMMARY

Thomson scattering occurs in the early universe under specific conditions where the energy of photons is significantly lower than the rest mass energy of electrons, specifically when \( E_{\gamma} << m_{e}c^{2} \). Despite the high temperatures expected in the early universe, the average photon energy \( \langle E_{\gamma} \rangle \) can be sufficiently low due to the rapid expansion and cooling of the universe. This allows electrons to behave as if they are stationary, fulfilling the conditions for Thomson scattering to take place.

PREREQUISITES
  • Understanding of quantum electrodynamics
  • Familiarity with the concepts of photon energy and electron rest mass
  • Knowledge of the early universe conditions, including temperature and expansion dynamics
  • Basic grasp of scattering processes in particle physics
NEXT STEPS
  • Research the implications of photon energy in high-temperature environments
  • Study the dynamics of the early universe, focusing on temperature evolution
  • Explore quantum electrodynamics principles related to scattering processes
  • Learn about the role of electron behavior in cosmological models
USEFUL FOR

Astronomers, physicists, and students studying cosmology or particle physics, particularly those interested in the interactions of matter and radiation in the early universe.

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Homework Statement


Why does Thomson scattering occur in the early universe?

Homework Equations



$$ e^{-} + \gamma \rightarrow e^{-} + \gamma $$
is a Thomson scattering process if:
$$ E_{\gamma} << m_{e}c^{2}$$
(Electrons are essenitally stationary)

The Attempt at a Solution


[/B]
Very confused - how is it possible that the condition is fulfilled? Surely in the early universe, we expect very high temperature, and therefore ## \langle E_{\gamma} \rangle ## is very large. And the assumption that the electrons are practically stationary also seems ridiculous!

Many Thanks :)
 
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What exactly do you call "early universe", and how large were the temperatures back then?
 

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