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This question already has an answer here:

Why has there not been a resolution in the gravitational effect between the two? It seems that quantum theory and Einstein disagree.

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marked as duplicate by Norbert Schuch, Danu, Sebastian Riese, ACuriousMind, JamalS Jan 18 '16 at 0:52

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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Physical theories contain parameters whose values must be empirically determined to make predictions. (For example, for electromagnetism you need the fine structure constant.) We therefore need the theory to have only finitely many parameters. For a quantum field theory, this requires a property called renormalisability. As explained here, a renormalisable quantum field theory's high-energy spectrum doesn't behave the same way as gravity's, so a quantum field theory of gravity can't be renormalised.

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