"In addition to its other problems, the realist approach faces the challenge of deriving the Born rule. If measurement is really described by quantum mechanics, then we ought to be able to derive such formulas by applying the time-dependent Schrödinger equation to the case of repeated measurement. This is not just a matter of intellectual tidiness, of wanting to reduce the postulates of physical theory to the minimum number needed. If the Born rule cannot be derived from the time-dependent Schrödinger equation, then something else is needed, something outside the scope of quantum mechanics, and in this respect the many-worlds interpretation would share the inadequacies of the instrumentalist and Copenhagen interpretations."
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Steven Weinberg, Lectures on Quantum Mechanics (2nd ed. 2015), Chap. 3 : General Principles of Quantum Mechanics
https://en.wikiquote.org/wiki/Many-worlds_interpretation
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Many-worlds interpretation
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