@Reconstructo,
I think that first you'll have to specify the types of propositions that we could consider. Since this is my first time here in the Epistemology section, I don't know what all is considered "presumed" so please feel free to yell at me if I'm getting too "meta-Epistemology" here.
From the initial post I think we can claim truths about the external world. This is especially true with the natural science statement at the end. Please correct me if we want to broaden this claim to include more than just an external world.
Additionally, if I may be so bold, I would claim that we're not exactly striking at the heart of the question. Whether or not truth is eternal is irrelevant unless we first answer the epistemological question about whether or not we can KNOW of eternal truth. Obviously, undertaking this new question changes the context of this thread, and I'm not proposing we go there.
Instead, I guess I'll just try to clarify what it is we're investigating. You want to figure out whether or not there can be such a thing as "eternal truth." If a proposition P is true at time A1, but is no longer true at time A2, then what do we conclude to be the truth-value of P? A question such as this assumes, among other things, that we have knowledge of the truth value of P at times A1 and A2. I do not want to call into question whether or not we have knowledge of the truth-value of P at times A1 and A2, but rather what the conditions that make up this presumption are. This is an important question for the initial post, because it can make the difference between whether or not we will get caught in a circular reasoning trap.
To clarify: Is it assumed that knowledge is justified true belief? If we assume this, then to ask whether or not we know if P is true is essentially to ask whether or not we are justified in believing the true belief that P is true. How do we know if P is true? Well, we know it because we're justified, we believe it, and because it's true. That "true" portion of knowledge can catch us in the trap - we know P is true because P is true.
Therefore, in order to have knowledge of anything eternally true, it would already have to be true, by definition. Otherwise we wouldn't even know it in the first place.
Again, my intent is not to steer towards a discussion of knowledge, but rather to clarify the thread's context. Are we claiming to have knowledge of these truths (internalism) or simply that these truths can possibly exist (externalism)?