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In page Theory of everything:

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The search for a Theory of Everything is hindered by fundamental incompatibility between the noncommutative and discrete operator algebra structures underlying quantum mechanics and the commutative continuous geometric nature of classical spacetime in general relativity. Reconciling the background-independent, diffeomorphism-invariant formulation of gravity with the fixed-background, time-ordered framework of quantum theory raises profound conceptual issues such as the problem of time and quantum measurement.[citation needed] While a fully successful and experimentally confirmed unified field theory remains elusive, several recent proposals have been advanced, each employing distinct mathematical structures and physical assumptions.