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String Theory and Its Cousins
Quantum gravity is an effort to unify the standard model and, and general relativity. The one fully consistent model that we have reconciles it with quantum mechanics is string theory. It hasn't been ruled out as an actual sort of unified theory of nature. But there isn't a reasonable possibility that we would be able to do an experiment in the foreseeable future which would give us a 'yes or no' on this issue.