First of all to discuss the definition of annihilation on the Google page. The definition goes as "the conversion of matter into energy, especially the mutual conversion of a particle and an antiparticle into electromagnetic radiation." Here the matter is converted into energy. The matter is converted into energy as per the equation of the Einstein. That means E = m c 2. Here 'c' is the speed of light. That is about 300,000,000 meters/second. The "c" square becomes 90,000,000,000,000,000. So you take the electron as a unit. From this you get 90,000,000,000,000,000 times units of energy. Here you are getting only two gamma rays after collision of the electron and positron pair. That means that from the pair of gamma rays, you should be able to get one electron and one positron. That is very funny. The speed of the electron and positron is about 1 % of that of light. Now the mass-energy must be conserved. So here goes the equation. E = m 1 * 1/100 c * 1/100 c + m 2 * 1/100 c * 1/100 c = gamma ray + gamma ray. Here m 1 is the mass of electron. m 2 is the mass of positron. m 1 = m 2. So E = 2 m * 1/10000 c 2 = 2 gamma rays. Then you get m * 1/10000 c 2 = gamma ray. Gamma ray has got the speed of light. This equation gives the mass of 10,000 photons in gamma rays to be equal to one electron or one positron. That is not correct. Electron is far many times more massive than the photon. In fact the photon is presumed to have zero rest mass. That is also correct that the momentum of the system has to be conserved. Here the equation for the momentum is p = m*v. Here the mass m is equal and same in case of electron and positron. So the equation is p = m * 1/100 c. In case of electron and positron the m is equal and v is equal to 1/100 c. ( c being speed of light.) The gamma ray has got the v equal to the speed of light. Here 100 photons in gamma rays become as massive as electron or positron. That is not correct. Electron or positron are far more massive than photon. In fact the photon is presumed to have zero rest mass.
The fact is that electron and positron disappear into nothing. The kinetic energy that is carried by the electron and positron can not be annihilated and is released as pair of gamma rays.
The proton and anti-proton is 1836 times as massive than electron or positron. When you put this value in the E = m c 2. Then the energy produced from proton and anti-proton is 1836 times as much as produced from the electron or positron. Here as per the annihilation chapter in Wikipedia, you are getting only 9 to 13 gamma rays. This is not correct and logical. I do not get into detail of this calculations. I am not good at calculations. Only thing I want to point out that you get only two gamma rays from from pair of electron and positron is far much underestimate.
Now here goes the theoretical calculation. You convert the entire mass of the universe into energy as per the equation of the Einstein. The equation goes as E = m c 2. So the unit mass will be converted into 90,000,000,000,000,000 units of energy. That is enormous quantity of energy. All the mass is converted into gamma rays. Then from every two gamma rays you get a pair of electron and positron. From 9 to 13 pair of gamma rays you will get the pair of protons and anti-proton and pair of neutrons and anti-neutron.
You just calculate the amount of mass that will be produced in the process. It will be enormously high quantity of the mass than the original mass of your universe. There is equal amount of mass of anti-matter. All this newly produced mass can be reconverted into energy again. Again you can get matter and anti-matter from this energy. You can do this cycle end number of times. You can go on creating much more and more mass.
Another question is why the conversion of positron and electron into gamma rays is not reversible? That is against the inter conversion of mass and energy. As per the equation of the Einstein, that is E = to m c 2, mass and energy are inter convertible. Energy can be converted into mass and mass can be converted into energy, end number of times. In case of the atomic energy the amount of energy from the mass is enormously high.
So equal quantity of matter and anti-matter is produced from nothing and disappear into nothing.
here goes the link.
What_is_the_theory_of_creation_of_the_matter_and_anti_matter_from_nothing
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