George Gamow and R. Alpper first proposed the idea that the universe is filled with detectable radiation from the Big Bang in 1948. They reasoned thus: The universe is expanding. Therefore, it is bigger today than it was yesterday and will be bigger tomorrow than it is today. Running the tape backwards, the universe was smaller yesterday than it is today and was smaller the day before yesterday than it was yesterday. If you run the tape back far enough, then all of the galaxies are together in the same place. You can almost think of it as a super version of how a star forms from a giant molecular cloud. As the galaxies run together, the universe gets hotter and hotter (matter falling through a gravitational field). The galaxies disintegrate into nothing but atoms and then into elementary particles. In effect, you have a giant “star” made up of all the matter in the universe. If you keep going you eventually end up with a “singularity”, a point of infinite density and temperature.
Ignoring the conceptual and computational problems with the singularity, Gamow and Alpher concentrated on what happened after the expansion began. At the initial extreme temperatures there were only photons of extremely high energy. These photons could produce matter in the form of matter and antimatter pairs: electrons and positrons (antielectrons), quarks and antiquarks. These matter and antimatter particles immediately collided to disappear in a shower of photons. However, as this “quark soup” cooled, more and more of the particles survived. Assuming a slight excess of matter over antimatter, after about one second electrons were surviving and quarks were combining to form protons and neutrons. For some time after the appearance of ordinary matter, photons still collided with great frequency with electrons, insuring that matter and photons stayed coupled together – the universe was opaque.
During this period, lasting about 300,000 years, the universe resembled the core of a star, fusing hydrogen into helium and producing energy as a byproduct. However, unlike a star, the universe was definitely not in hydrostatic equilibrium, and therefore, due to the expansion, the temperature soon dropped so these interactions ceased to occur. At that point atomic nuclei could combine with electrons to form ordinary atoms, and photons became decoupled from matter. The universe became transparent.
Gamow and Alpher estimated that the “star core” stage lasted just long enough to fuse about 25% of the mass of the universe (protons and neutrons) into helium nuclei (two protons and two neutrons) plus a small percent deuterium (one proton and one neutron) and lithium (three protons and four neutrons). The observed cosmic abundance of the elements is in agreement with this prediction.
Further, Gamow and Alpher concluded that the temperature of the universe at the time of the decoupling was approximately 3,000 K. Thus, the photons would have had wavelengths corresponding to this temperature (Wein’s Law). Since the universe is now about 1,000 times larger than it was then, the wavelengths of these photons have been stretched by a factor of 1,000, from about 1,000 nm to 1mm. The current wavelength of 1 mm corresponds to a temperature of around 3 K, thus it is often referred to as the “3 degree cosmic background radiation”. (Actually Gamow and Alpher estimated 25 K, but this was later corrected). This is the radiation detected by Penzias and Wilson in 1964. Their discovery was the single most important reason that the great majority of cosmologists abandoned the Steady State Universe and pledged allegiance to the Big Bang model.

(1) The universe from about 1 second to 300,000 years

Radiation Separates
from matter
(2) The universe 300,000 years after the Big Bang

(3) The universe we observe today (estimated to be 15 billion years after the Big Bang)