That brings me to roughly the only philosophical question that absolutely intrigues me - the relationship between mathematics and physical reality.
It gives me such a pleasantly spooky feeling when a theory predicts something that no one has ever seen... but in this case, we may never see that something. So does the fact that theories allow more possible universes that we observe mean that these universes CAN exist, does it mean they MUST exist, that something is missing from the theory, or that not everything about a theory needs to say something about reality?
Well, the way I like to think about it is that we shouldn't complain when a theory predicts something we can't test. We should, instead, worry about the things we
can test about the theory. If this has definite implications about things we can't test, well, we should accept that: we're not infinitely powerful, and never will be, and shouldn't allow our own practical limitations keep us from considering theories that happen to predict some things we can't actually test. Just focus on the testable components and leave it at that.
Incidentally, wouldn't the same reasoning support the many worlds interpretation of QM? It seems like a similar situation on a smaller scale to me. Aren't you basically inducing a spontaneous symmetry breaking event whenever you force a particle to "choose" one of its possible states by observation?
I'm getting way out of my scientific comfort zone here
Hehe

Well, yes, the many worlds of quantum mechanics is similar. First, it is the simplest explanation for our observations (because it makes no assumption of wavefunction collapse), and by that metric alone the most likely. The second point is that within the many worlds interpretation, wavefunction collapse is independent of observation: wavefunction collapse happens by
interaction of the system in question with a larger system. This is my favorite experimental paper on the subject:
Phys. Rev. Lett. 77, 4887 (1996): Observing the Progressive Decoherence of the âMeterâ in a Quantum Measurement
Basically, they set up the equivalent of a double-slit experiment, where they're using a radiation field to collapse the wavefunction of the atoms. They don't ever observe this radiation field, so there is no observation driving the collapse. It is simply the interaction between the atoms and the radiation field which drives the collapse.
Furthermore, in the many worlds, there is no "choice" of state. It is simply that the different states of the particle lose the ability to communicate with one another. The system remains in the full superposition it started in, but each observer within the quantum system can only obtain information about its own portion of the whole superposition.
That is, if there is an observation of a quantum system with two possible states A and B, then when an observer looks at the system he will be in a superposition of two states: system is in state A and observer observes state A, system is in state B and observer observes state B. So with everything happening, there just isn't any choice.
(I guess I should have figured out that they leave traces - antiparticles were discovered
somehow, after all.

)
Hehe
