The Many-Worlds Interpretation of Quantum Mechanics states that every time some event is observed (e.g. a coin flip), the Universe splits into separate universes, one for each possible outcome (e.g. Heads universe and Tails universe), and the conscious observer will find themselves in one of these universes (e.g. either see the coin come up Heads or see it come up Tails) with a likelihood proportional to the number of ways this event can happen (e.g. you'll probably never see a coin land on edge)
This is false and misleading in various ways.
1) in MWI, splitting events are gradual, in the sense that the relevance of one 'world' to another continuously drops from 'high' to 'utterly negligible' without a sharp cutoff. There is a connection to observation, but it's a confusing one that MWI ought to be helping one avoid making.
2) splitting events produce thermodynamically large quantities of worlds.
3) the likelihood is indeed a sum over the various paths, but the coefficients on the paths are complex-valued and span many orders of magnitude. I grant that these details might normally not be relevant for such coarse-grained matters as biology, but if you're going to survive, say, a heavy object smacking into your head at high speed, this is going to be a major issue - all of your survival paths are much smaller than the fatality paths.
4) Nothing is keeping you off of such doomed states, so once you find yourself in one, you're about to get really lucky (or die). Nothing except going timeless, but...
5) You can't both take the timeless perspective and invoke quantum immortality. QI is all about the subjective case, and the timeless perspective requires, among other things, not taking the subjective case.
Thanks for the criticism.
summary: If, hypothetically, I tried to catch a terminal-velocity bowling ball with my face, your theory says I would experience the bowling ball doing nonfatal damage and then stopping just before killing me, and my theory says I would experience changing my mind and getting out of the way of the bowling ball. It looks like our key disagreement is whether Quantum Immortality only operates over short timescales. You say it only acts in an instant, and I say it acts over long time intervals as well.
longer argument: I'm not convinc...