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I'm not sure all ideas about MWI can be tested. Concerning Born rule and MWI probability postulate, if you crossbread our knowledge about quantum physics, math and statistics we possess thus far, you can only conclude that both have the same chance to be correct, there are a couple of works I found. The real problem with MWI is their main proponents slightly vary in how they interpret the idea. Some MWI ideas can't be tested yet, some never would be possible. That's what drawn away many physicists from even considering it, as they argue it leads to metaphysics. But lets not forget that MWI was deeply discouraged from any educational facilities for most of the 20th century and this might be another reason why it was not made more breakthroughs in that direction. There were many other similar subjects and people kept away from public that made the discoveries and simply disappeared because academia at that time didn't consider it noteworthy. There are also some positives about MWI not found in standard interpretation, like the fact it retains the theory of relativity. Some folks argue that MWI don't follow Ockham's razor, as it imposes more hypothesis, but from purely mathematical side it imposes less hypothesis than standard interpretation. Anyhow, exact explaination of quantum physics phenomenon is still unknown, I'm just keeping my mind open for any idea and this thread is about philosophy of cosmology more than anything else. For now, my view here is strictly agnostic.
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