According to many-worlds all the possible outcomes of a quantum interaction are realised. The wavefunction, instead of collapsing at the moment of observation, carries on evolving in a deterministic fashion, embracing all possibilities embedded within it. All outcomes exist simultaneously but do not interfere further with each other, each single prior world having split into mutually unobservable but equally real worlds.
source
Every time I ("Lev") perform a quantum experiment (with several possible results) it only seems to me that I obtain a single definite result. Indeed, Lev who obtains this particular result thinks this way. However, this Lev cannot be identified as the only Lev after the experiment. Lev before the experiment corresponds to all "Lev"s obtaining all possible results.
source
QM phenomena are everywhere. The idea that we are continually dividing into a multiplicity of copies of ourselves is alarming because of what it does to notions of personal identity and continuity. At root, we are only talking about an
interpretation of QM math. There's different ways of looking at what it means. I'm very leery of one which undermines the value of personal identity, the value of individuals ("there's plenty more of you") and this particular world (likewise).
So it's alarming in that way, but it's also alarmingly naff philosophically. The scientific principle of determinism is valid, but, as an absolute metaphysical principle it is incoherent. In clinging to Laplace's demon, its proponents end up imagining an infinite range of futures, all flowing from the present (the now). Amazingly, they do not see their position is a
reductio ad absurdum of the principle, a demonstration of its metaphysical incoherence.
Far simpler to adopt a cogent metaphysic that naturally allows for the universe to be "open" (in the sense of having a range of possible futures reachable from the present configuration). Really, any decent metaphysic should do that anyway, as it's an idea implicit in evolutionary theory.