PE, this is in response to the reference you sent me.
I have at last managed to wade through ‘The Role of Decoherence in Quantum Theory’. Did you post this as a joke? It reads like an essay in Post-Modernism. I have never heard the term ’Decoherence’ before, but it sounds like things falling apart, with the inevitable result of ’Incoherence’. My spell-checker doesn’t like it either. I suggest you choose references from an Encyclopaedia of Science rather than an Encyclopaedia of Philosophy! I checked it all out in my 'Feynman Lectures', published in 1961, and it was all there expressed in simple english.
Anyway, the article does not say anything that I had not read decades ago, and I could not find any relevance to the multiple-universe interpretation of quantum-field collapse (decoherence?).
So, back to the subject of parallel universes splitting from each other.
Firstly, I can see two possible processes of ‘splitting’. Either the whole universe splits apart in one go, or the else split initiates in that volume where the collapsing quantum field had a non-zero amplitude, and then propagates over the rest of the universe at the speed of light. This latter process could be likened to spreading two sheets, one on top of the other, and then lifting the top one at its centre. The separation spreads outwards in a circle.
In the first case, our local space is being split continuously by ‘quantum collapses’ that occur all over the universe. If the universe is infinite, we have an infinity of splits at every instant.
In the second case, we have splits arriving here all the time, from events in distant space and time. For example, an electron being absorbed by a molecule somewhere in a distant galaxy a thousand million years ago! In this case the number of splits may not be quite infinite if the universe has a finite past - but what difference will it make?
So what is the point of talking about a quantum collapse event splitting the universe into two (or more) parallel universes when at the same time an infinity of splits take place due to other events?
That bullet goes through your head in an infinity of infinities of universes, and it doesn't go through in another infinity of infinities of universes. Which infinity is greater?
Mike.