@Ben: The communication exists but it's exponentially tiny. Not 20th decimal place, 10^20th decimal place.
Bob: It seems that many physicists are strongly biased to deterministic theories
No, physics is strongly biased toward deterministic phenomena. There is no known law in all of physics that is non-deterministic. I eliminate collapse fantasies because there is no observed phenomenon that cannot be explained as well without collapse as with it.
Kamenin: Finally, if you substitute collapse for world splitting, wouldn't then world splitting produce the same effects and fulfill your last list quite as well as the collapse interpretation?
NO, DAMN IT!
Many-worlds does not involve a special, extra, 'splitting' postulate. It is simply the pure, unaltered result of applying the same equations that are known to govern microscopic phenomena, which equations happen to result in superpositions (experimentally verified) and would logically result in macroscopic superpositions (experimental verification in progress).
So, #1, above all, the fundamental physics of many-worlds is experimentally nailed-down. It consists simply in supposing that the same rules govern at all levels. We know quantitatively what those rules are for microscopic cases. There is no theoretical doubt as to when and under what circumstances decoherence should happen - it's all in the equations already, though in practice we may have trouble doing the math.
With that said,
Macroscopic decoherence is linear, unitary, differentiable, local, CPT symmetric, probability-current conserving, deterministic, and relativistic JUST LIKE ALL THE REST OF PHYSICS, DAMNIT!
Macroscopic decoherence—also known as “many-worlds”—is the idea that the known quantum laws that govern microscopic events simply govern at all levels without alteration. Back when people didn’t know about decoherence—before it occurred to anyone that the laws deduced with such precision for microscopic physics might apply universally—what did people think was going on?
The initial reasoning seems to have gone something like:
to
to
Read literally, this implies that knowledge itself—or even conscious awareness— causes the collapse. Which was in fact the form of the theory put forth by Werner Heisenberg!
But people became increasingly nervous about the notion of importing dualistic language into fundamental physics—as well they should have been! And so the original reasoning was replaced by the notion of an objective “collapse” that destroyed all parts of the wavefunction except one, and was triggered sometime before superposition grew to human-sized levels.
Now, once you’re supposing that parts of the wavefunction can just vanish, you might think to ask:
Yet collapse theories considered in modern academia only postulate one surviving world. Why?
Collapse theories were devised in a time when it simply didn’t occur to any physicists that more than one world could exist! People took for granted that measurements had single outcomes—it was an assumption so deep it was invisible, because it was what they saw happening. Collapse theories were devised to explain why measurements had single outcomes, rather than (in full generality) why experimental statistics matched the Born rule.
For similar reasons, the “collapse postulates” considered academically suppose that collapse occurs before any human beings get superposed. But experiments are steadily ruling out the possibility of “collapse” in increasingly large entangled systems. Apparently an experiment is underway to demonstrate quantum superposition at 50-micrometer scales, which is bigger than most neurons and getting up toward the diameter of some human hairs!
So why doesn’t someone try jumping ahead of the game, and ask:
Why don’t collapse theories like that one have a huge academic following, among the many people who apparently think it’s okay for parts of the wavefunction to just vanish? Especially given that experiments are proving superposition in steadily larger systems?
A cynic might suggest that the reason for collapse’s continued support isn’t the physical plausibility of having large parts of the wavefunction suddenly vanish, or the hope of somehow explaining the Born statistics. The point is to keep the intuitive appeal of “I don’t remember the measurement having more than one result, therefore only one thing happened; I don’t remember splitting, so there must be only one of me.” You don’t remember dying, so superposed humans must never collapse. A theory that dared to stomp on intuition would be missing the whole point. You might as well just move on to decoherence.
So a cynic might suggest.
But surely it is too early to be attacking the motives of collapse supporters. That is mere argument ad hominem. What about the actual physical plausibility of collapse theories?
Well, first: Does any collapse theory have any experimental support? No.
With that out of the way…
If collapse actually worked the way its adherents say it does, it would be:
What does the god-damned collapse postulate have to do for physicists to reject it? Kill a god-damned puppy?