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shminux comments on Collapse Postulates - Less Wrong
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The "number" of worlds increases, but each world is weighted by a complex number, such that when you add up all the squares of the complex numbers they sum up to 1. This effectively preserves mass and energy across all worlds, inside the universal wave function.
Even if this were true, conservation of energy across the worlds is not a good argument for or against MWI. There is no reason it should be conserved over non-interacting entities. Also note that energy in our expanding Universe is not conserved (or even well-defined) globally.