I suspect that those would be longer than should be posted deep in a tangential comment thread.
Yeah probably. To be honest I’m still rather new to the rodeo here, so I’m not amazing at formalizing and communicating intuitions, which might just be boilerplate for that you shouldn’t listen to me :)
I’m sure it’s been hammered to death elsewhere, but my best prediction for what side I would fall on if I had all the arguments laid out would be the hard-line CS theoretical approach, as I often do. It’s probably not obvious why there would be problems with every proposed difficulty for additive aggregation. I would probably annoyingly often fall back on the claim that any particular case doesn’t satisfy the criteria but that additive value still holds.
I don’t think it’d be a lengthy list of criteria though. All you need is causal independence. The kind of independence that makes counterfactual (or probabilistic) worlds independent enough to be separable. You disvalue a situation where grandma dies with certaintly equivalently with a situation where all of your 4 grandmas (they got all real busy after the legalization of gay marriage in their country) are subjected to 25% likelihood of death. You do this because you value the possible worlds equally according to their likelihood, and you sum the values. My intuition that refusing to not also sum the values in analogous non-probabilistic circumstances would cause inconsistencies down the line, but I’m not sure.
Can somebody explain a particular aspect of Quantum Mechanics to me?
In my readings of the Many Worlds Interpretation, which Eliezer fondly endorses in the QM sequence, I must have missed an important piece of information about when it is that amplitude distributions become separable in timed configuration space. That is, when do wave-functions stop interacting enough for the near-term simulation of two blobs (two “particles”) to treat them independently?
One cause is spatial distance. But in Many Worlds, I don’t know where I’m to understand these other worlds are taking place. Yes, it doesn’t matter, supposedly; the worlds are not present in this world’s causal structure, so an abstract “where” is meaningless. But the evolution of wavefunctions seems to care a lot about where amplitudes are in N-dimensional space. Configurations don’t sum unless they are the same spatial location and are representing the same quark type, right?
So if there’s another CoffeeStain that splits off based on my observation of a quantum event, why don’t the two CoffeeStains still interact, since they so obviously don’t? Before my two selves became decoherent with their respective quantum outcomes (say, of a photon’s path), the two amplitude blobs of the photon could still interact by the book, right? On what other axis has I, as a member of a new world, split off that I’m a sufficient distance from my self that is occupying the same physical location?
Relatedly, MWI answers “not-so-spooky” to questions regarding the entanglement experiment, but a similar confusion remains for me. Why, after I observe a particular polarization on my side of the galaxy and fly back in my spaceship to compare notes with my buddy on the other side of the galaxy, do I run into one version of him and not the other? They are both equally real, and occupying the same physical space. What other axis have the self-versions separated on?