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The Standard Model and the Theory of Relativity
Every particle that the standard model predicted should exist by now has been discovered. The last of the bunch was the Higgs boson, which the LHC found in 2012. It's proven extremely reliable at describing how gravity governs the interaction of large-scale things like people and planets. But quantum field theory really doesn't deal with the universe's whole. So what physics has on its hands are the standard model and the theory of relativity - two totally accurate but totally incomplete pictures of the universe.