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There is unlikely to be a successor to a quantum theory of light, by the definition that the quantum theory of light is that "Light is made up of discernible particles", has very strong evidence to support it, and no alternative explanation has yet been found to explain such effects as the photoelectric effect.

If you mean quantum electrodynamics, the section of the standard model of particle physics that explains light, electricity and magnetism, and therefore the standard model of particle interaction, then the only answer is that absolutely nobody knows. In fact, finding a successor to the standard model, which despite being one of the best theories ever developed is full of more holes than the titanic if taken as a theory of everything, is one of the biggest deals in all of science.

One possible successor to the theory of quantum electrodynamics is the section of superstring theory that explains electromagnetism, but there are many who don't think string theory will be the answer to physics' problems, and certainly string theorists have yet to find any strong evidence supporting their theories.

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Q: What will be the theory after the quantum theory of light?
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