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The key there is "at every interaction".

Consider lots and lots of interactions.

In what I was explaining, you have highly probable outcomes being observed a lot, and very low probability outcomes being observed rarely.

In what you are reading on wikipedia, you have at each and every one of those lots and lots of interactions a "splitting" into a different world per possible outcome. That's MWI's core content, and it seems to help some people develop intuitions about outcomes of experiments where small numbers of interactions (perhaps even just one, especially where it involves entanglement) determine much larger systems.



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