tatkhj said:
Curious about what's current in multiverse and parallel universe speculation. How's the math on this doing?
We have some rather good textbooks in the theorem proof style ie mathematically reasonably rigorous on many worlds these days:
https://www.amazon.com/dp/0198707541/?tag=pfamazon01-20
There is a strong connection between Many Worlds and De-coherent Histories:
De-coherent Histories, without going into the details, was the formulation of QM Feynman was converted to a bit before he died.
The following paper by Gell-Mann and Hartle might also help
https://arxiv.org/abs/1106.0767
But since this is a B level thread the following commentary in ordinary language is likely more helpful:
https://www.sciencenews.org/blog/context/gell-mann-hartle-spin-quantum-narrative-about-reality
If somebody were to ask me personally I would side with Gell-Mann - despite the mathematical Beauty of Many Worlds there is really no reason to introduce it - its nice features can be accommodated in a theory such as as de-coherent histories without the baggage of the idea of many worlds. However it must be emphasized as Gell-Mann does in the video what Everett thought of as a world is not necessarily what popularization's think of it as.
Just for completeness sake we come up against the real fundamental issue in QM. Everything is quantum. But then how do you rigorously define an observation? Some mentors/science advisers here think, like Einstein, it makes QM incomplete (Einstein towards the end, and after many discussions and disagreements with his good friend Bohr, the most famous one being the Einstein Box thought experiment, I will give a link to at the end, believed QM was correct - but to his dying day believed it incomplete - but that is another story best left to one of the many biographies such as Subtle Is The Lord). Others say it's an unsolved problem but think it can be eventually solved. Still others like me think that some key theorems are missing and once they are worked out what's going on will be a lot clearer. I think its more dotting your i's and crossing you t's sort of thing. But until its done, those that believe QM incomplete have a perfectly valid view. And who knows - solving it may lead to a revolution in understanding of QM - we just do not know yet.
Now for a more modern take on the Einstein Box Thought experiment after which Einstein never questioned the actual validity of QM - but always thought it incomplete:
https://arxiv.org/abs/1203.1139
Later of course Einstein was able to state clearly his real objection in the EPR paper. It was not resolved until the work of Bell. Its interesting the above author (who is a science adviser here) thinks the Einstein Box experiment is really an early version of EPR.
Thanks
Bill