cesiumfrog said:
So simply, if as physicists we (currently) trust relativity, we are bound to assume (for now) that we do indeed live in a block universe.
I don't think everyone would agree with that statement. Certainly Dieks argues against block time in the first reference I quoted - you can see that from the abstract.
Pure GR theory permits wormholes and closed timelike loops. (Admittedly, the nature of available matter-energy, or some better theory - perhaps quantum gravity - is quite likely to forbid time travel.) Therefore we might be able to experimentally observe situations where, for example, a bowling ball spontaneously falls out of the (uh..) tail of a wormhole with exactly the right velocity to knock a nearby (suspiciously identical) bowling ball into the mouth of the wormhole.
Time travel is still being debated within the literature of GR. I don't think its yet been proven to definitely arise from "pure GR". I think the best one can say is that it hasn't been ruled out yet, that it remains a possibility.
You could disprove block-time by traveling back to prevent your father's conception, whereas block-time predicts that you would change your mind, or be foiled somehow, or even turn out to be your own grandfather.
OK, this is at least testable, so it is to some extent physics and not pure philosophy, though its far out enough that it is in no danger of actually being tested in the near future :-).
One thing that I think is interesting is to view the situation from the viewpoint of the other people on the Earth. They are going to see either a "quantum vacuum flucutation" or "someone froma parallel world" (your choice as to the best description) come out from the time machine, and commit murder.
It would seem that a lot of strange things and possibly dangerous things could come out of a time machine in such a world, if this model is correct.
Of course, if they realized this, there might be security on the other end of the portal (assuming there is a portal). So perhaps the experiment wouldn't be so clear-cut after all - if you go through a portal, with the intention of mudering your grandfather, and get stopped by security on the other end, you haven't either proved or disproved block time.
A few more observations in general:
If time travel is humanly possible at some time in the future, where are all the time travelers?
If you could go back anywhere in time (and not just through some wormhole), why isn't the present (their past) clogged up with time travellers?
It's possible that time travel is possible, but the human race wipes itself out before it achieves it (which is rather a bummer). It's possible that time travel requires a specific receiving terminal (as in the wormhole model) that hasn't been built. It's possible that time travel is occurring, but that the people from the future are just being very careful not to reveal themselves, I suppose. It's possible that time travel is not possible.