I guess they are somehow an animation of complex points in 3 real dimensions?
A set of n entangle particles is a function from R^(3n) to C. It's assigning a complex number to each configuration of particles. Since there are n particles, and each particle has three real dimensions, it comes out to 3n real dimensions.
If you can't compute the next state of a "world" from how it looks now but have to look at the neighbours in configuration space doesn't this mean that world evolution is inherently not a "private" fact?
It's a local fact. Knowing just that point won't work; it only gives you the positions of the particles, but having an arbitrarily small neighborhood will give you the derivative, which gives you the momentums of the particles.
And in stationary wavefunctions while each individual wave moves outward the shape of the wave function is the same after one cycle. That is such wavefunctions don't "shatter" and they have the quality of reforming the same shape. I don't have a good detail to point to but it seems it must converge just as fast as it splits.
In stationary waves, you're dealing with something that only has a small set of states. It has to converge as fast as it splits, since there's nowhere else to go. If you stick a particle in an infinite universe, there's no stationary wavefunction.
Woudn't the "converging worlds" be us much of a big deal as "splitting worlds"?
It doesn't happen as much thanks to increasing entropy. Everything starts from the big bang, but it can end anywhere.
That's not to say it doesn't happen. The double slit experiment works because the universe where the photon passes through the left slit and the one where it passes through the right slit intersect again. It doesn't work when you record which slit the photon passes through, since one universe now has a detector saying "left" and the other one has one saying "right", so they're not the same universe.
And wouldn't it be quite possible that instead of looking like a tree or balloon on the macro level your world line would look more like a line.
As long as it's stable it will. Once something chaotic happens, it will start splitting.
Doesn't the preservation of measure mean that worlds don't "dissipate into ambivalence". A common take on many worlds where each decision splits your world would in my mind imply such a dissipation.
Imagine you're putting a drop of dye into a pool. It doesn't break down or otherwise stop being dye, but it does dissipate. It's the same deal with quantum physics. The measure is preserved, but later on it's just spread out more.
The bomb tester experiment reads to me as if you blow up the bomb in another world to gain info on the version in your world.
Also a good example of converging worlds. If the bomb doesn't explode, the universes can converge again, causing destructive interference in places. If it does explode in one universe, they can't converge, so those places that would have had destructive interference can still happen, and if they do, that proves the bomb exploded in another universe.
A set of n entangle particles is a function from R^(3n) to C. It's assigning a complex number to each configuration of particles. Since there are n particles, and each particle has three real dimensions, it comes out to 3n real dimensions.
But won't the physcial underlying reality still be contrained to a fixed dimensionality space (if it is not R3)? That is can the function be composed as a R^(3n) function to R^3 to C? I thought particles are bumps in a field not that each bump makes it's own field to contain it.
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