Why cant photons split into two smaller photons but gluons can?
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When a photon falls in gravitational field, its energy (that is electromagnetic energy) increases. So the mechanism of interaction between graviton and photon should be able to explain the increasing of photon's energy. You are right, but it is not the nature of physics problem, it is the inability of theories.
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- After the hypothetical split, 2 photons with the same energy would be propagating at an angle ok with momentum conservation.
- Then there would be a rest frame where the angle is 180 degrees.
- Now if you stay in this restframe and go back in time before the split, your single photon would be at rest.
- However, that is not possible: According to relativity, speed of light is constant for all frames.
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