'godlike' external agent could have simply skipped to the answer, and correctly predicted the action that would inevitably be taken
For the sake of argument I will wager this is not actually true.
If the 'godlike' external entity cannot project what would happen other than engaging a recalculation of the whole universe from the beginning and playing it forward to the present, they do not actually *predict* the action at all, but are merely
describing it as they watch it happen for the first time.
It could very well be that the only way to know what happens,
even for a god, is merely to watch what happens
as it happens, and as such be incapable of making "predictions" at all, limited only to "dicton" without the "pre-".
In my mind, the godlike entity sits outside the block, and can simply decide to look at any part of that block. As the block itself is all of spacetime, no calculations are required; "God" just looks elsewhere, which in this case happens to be at what we think of as the future.
But the problem here is that that still isn't "predicting" it's "describing what is in front of you", and not only that, if the block is a *block*, that makes the Spectre problem even more apparent.
This is because, and I hate to point this out, we have proven that there are, under math, aperiodic systems that are *infinite* and of which there are an infinite number of sets of this that do not align with one another (and I will quote an email I got from one of the people who published a study on it):
Craig S Kaplan said:
There are uncountably many distinct tilings by hats ("distinct" in the sense that there's no single translation or rotation of the plane that will bring the two tilings into perfect coincidence everywhere -- some hats will always be a bit different).
* But hat tilings are "repetitive" -- any finite patch of tiles found in any hat tilings will appear infinitely often in all of them. So although there are lots of hat tilings that are *globally* different, *locally* they're indistinguishable from each other.
This is in regard to hats but Spectre has the same qualities.
Now, the point here is that, if the universe follows the rules for a multidimensional aperiodic tiling, it CAN very well have these features *and still be deterministic*.
Instead of seeing a finite patch of "tilings" as "just representing tiles" one must "think hard" and scale up the "finite" patch by quite a ridiculous amount and think of these smaller patches it contains as *particles* composed of some unitary *mono-particle* that forms this periodic set, a periodic table, defining the limited ways those come together and the relative frequency of their appearance in the tiling.
This lends sense to the idea of *parallel universes*, but not only of parallel universes but asking about the properties of those finite patches when they are seen, *and the adjoining rules of what may be seen around them*.
In fact, I would suggest thinking about such a variant or addition to Spectre that causes ALL the tiles to rotate in some way and then come back together into a different field in a deterministic
and advancing way similar to the function of time.
If I were to name one of these finite patches "Bob" I could very sensibly say "what are the properties of "bob"?" Completely independently of the infinite numbers of "bob" I could find amid the tiling. Possibility about "bob" as a question then has nothing to do with any one place or time or even any single tiling you might find Bob in, though you are guaranteed to find Bob in all of them, and in infinite supply.
Those Bobs might be a very far distance apart, but you can even calculate the relative average frequency of Bob to some extent.
The second thing that may be said is that without an impossible way to reference where you are in such a field (which is impossible because the coordinate is infinite and cannot contain such precision on itself because of Godel incompleteness and the lack of zero property), and because there are infinite variations all containing all possible finite patches somewhere in them, once you have completely identified the shape of the finite patch that is "the whole universe up to now", you still don't know which infinite field or region you are in. It's an undecidable problem.
From here a deterministically built universe from an aperiodic tiling CAN have the feature where experience within it features that which IS truly random from the perspective of its denizens.
What it also unfortunately shows is that if you reach out and change tilings in this "block version" of a "much higher-dimensional aperiodic field", all you've done is look at a different field, and if there are different fields, you have ALREADY conceded that there is alternality, not merely to the left and right, but of the whole field.
The burden to prove alternality cannot exist is to prove that the universe does not have such features and this cannot be proven from within it, so we cannot prove alternality does not exist.
At best we can prove that these alternalities do not happen "in the same place and time", and that this itself is not a sensible request or concept as we have already shown that the math of aperiodic systems DOES allow the observation of *identical* patches not to "the inside" and "outside, as if one arranged the whole tilings in some way and searched among them for the result, but that you can search for these identical results to the left and right.
We know this is the case for such simple and small "patches" of "tilings" as are observed in our fundamental particles and periodic table of the elements, indicating frequencies and rarity of various "patches" among our framework.
Determinism does not prevent randomness because "*locally* they're indistinguishable from each other", and so one patch somewhere will experience in the next moment discovering their location is embedded in larger patch A and another will discover they are embedded in larger patch B, and so you can say "when patch P experiences A vs B, what is the difference in outcome in resulting patch P2A and P2B? How does P transform after interacting with context A vs context B?
And now you are considering possbilities despite the whole action of all such fields as "deterministic".