You seem then to be left with the problem that the “real” world can be affected by the “imaginary” ones, otherwise you don’t get interference. The sense in which this makes sense does not seem to me to be ‘common’.
Did you read the link? Most of the recent modal interpretations are based heavily on decoherence (between different branches of the wave function). So, no, the possible worlds don’t “interfere” with each other.
There are different ways of splitting the wave function into “worlds”—this is why there are several modal interpretations, not just one of them. This ambiguity is a more powerful criticism by the way (exactly what are the worlds, and why should we believe one particular split rather than the others?)
In any case, I think you missed the point here. Whether the modal interpretations are right or not, the problem is that they are just not discussed in the sequence. Instead, the sequence contains a colossal non-sequitur from “wave function collapse is a silly theory” to “so all these many worlds really exist”.
You seem then to be left with the problem that the “real” world can be affected by the “imaginary” ones, otherwise you don’t get interference. The sense in which this makes sense does not seem to me to be ‘common’.
Did you read the link? Most of the recent modal interpretations are based heavily on decoherence (between different branches of the wave function). So, no, the possible worlds don’t “interfere” with each other.
There are different ways of splitting the wave function into “worlds”—this is why there are several modal interpretations, not just one of them. This ambiguity is a more powerful criticism by the way (exactly what are the worlds, and why should we believe one particular split rather than the others?)
In any case, I think you missed the point here. Whether the modal interpretations are right or not, the problem is that they are just not discussed in the sequence. Instead, the sequence contains a colossal non-sequitur from “wave function collapse is a silly theory” to “so all these many worlds really exist”.