The accepted physical theory that successfully explains both quantum mechanics and special relativity is called quantum electrodynamics (QED). It is the first local Abelian gauge theory that is based on the gauge invariance of electric charge. That is to say by switching a negative charge with a positive charge, vice versa, does not alter the results of the theory. This implies that the theory must not introduce any possible inconsistency wherever and whenever the electron is replaced by its antiparticle called the positron. This was done by Dirac equation whose solutions are the 2-component spinors, which allow Dirac to predict the existence of antimatter.Originally Posted by William Christie
However, a theory that explains both quantum mechanics and general relativity still does not exist although researches have been done for more than 70 years since the 1930s. This is a search for a theory of local gauge invariance for the physical concept of mass.


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