Photon decoupling marks the moment when electrons and protons combined to form neutral hydrogen, allowing photons to travel freely for the first time. This event defines the surface of last scattering that we observe today as the Cosmic Microwave Background (CMB).
The redshift of photon decoupling, denoted z_*, can be estimated from the ratio of the temperature of the Universe at decoupling (β3000β―K) to the present CMB temperature (β2.725β―K). Because temperature scales with the cosmic scale factor as T β 1/a, the relation (1+z) = T_dec / T_0 holds.
By inserting measured temperatures into this simple formula, we obtain a redshift of roughly 1100, indicating that the Universe was about a thousand times smaller when photons first decoupled from matter.
What is photon decoupling in cosmology?
How do I calculate the redshift of photon decoupling?
What is the significance of the Cosmic Microwave Background (CMB)?
How does temperature scale with cosmic scale factor?
What is the approximate temperature of the Universe at decoupling?
What is the current temperature of the Cosmic Microwave Background?
Why is photon decoupling important in cosmology?
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