Recombination in cosmology

The Universe is old 13.82 billion years, but the light does not spread from the "birth of the universe."
In the beginning the entire system is in a state that mathematicians call a "singularity". In this singularity, some physical quantities such as density or temperature become infinite. Everything is in a theoretical state, yet it is the beginning of our history, that is, the Big Bang, which is at the origin of space and time.
The formless system, will swell and extend in all directions very quickly. A minute later, the universe passes of infinite temperature to ≈10⁹ ° C, it is no longer reduced to a volume of null size and the first nuclei appear. Energy is gigantic, the matter in particulate form does not yet exist, it is wave, it stirs in a seething plasma of unimaginable heat. Photons, electrons and hydrogen protons extremely compressed, participate in the general chaos.
Electrons are trying to combine with protons but photons energy is so intense that "snatch" immediately electrons from protons. The universe is fully ionized. Photons are absorbed by the atoms then retransmitted immediately, they are trapped in the plasma, the carbon material can not be formed.
Inside this cosmic soup, none constituents can escape, all the primordial elements "collide" and their erratic course keeps them in a space still too small.
The density and the temperature are still too high. The plasma is still at a temperature of several million degrees and matter elements constantly collide have no space of freedom. But the universe continues to expand and cool down very quickly. The matter elements are increasingly space of freedom, the space between each particle extends, and collisions diminish, but all the photons are absorbed again, the light can not escape and the Universe remains opaque, "invisible". It will take a certain density and a certain temperature (≈3000 Kelvin) so that the photons get complete freedom.

This moment is called time of last scattering. This moment is brutal, it happens about 380,000 years after the Big Bang. From this time, the electrons will be able to stay in a space around the nuclei without being "collided" by photons. Therefore, the electrons and protons will constitute the primordial matter and photons will be free to travel in space, become immensely large. The universe becomes visible as the light begins to spread freely. This is what is called recombination in cosmology, the period when the temperature dropped enough to allow electrons to bind to nuclei and form the first neutral atoms. Recombination also marks the time when the universe became transparent as photons can travel long distances before being absorbed or diffused by matter. It is not within the universe that is visible but its surface, just like the Sun is the photosphere of the Sun as seen from Earth and not the inner layers of our star.
13.82 billion years after the Big Bang, that is, today, the photons of the early universe reaches us again, of course that brilliance is not as spectacular, this residual radiation is extremely dark because it was immensely diluted by the expansion of the Universe. What is extraordinary is that it is visible, not in the optical field but in the field of low temperature microwave, close to absolute zero (2.7255 kelvin measured by COBE). It reaches the surface of the Earth from all directions of the cosmos, this is the famous fossil radiation. It is so called because it forms a background for all point radio sources detected by radio telescopes.
The Big Bang was detected for the first time by Arno Allan Penzias and Robert Woodrow Wilson in 1965, for this, they will get the Nobel Prize in Physics in 1978.

NB: Between the wavelength (λ) and frequency (ν) is the following relationship: ν = c / λ
ν = wave frequency in hertz
c = speed of light in vacuum in m / s
λ = wavelength in meter