Dear George,
The issue is unavoidably relevant to your essay. Your essay discusses causality, which you admit in your arXiv paper can only exist if major adjustments are made to the standard view of spacetime. And spacetime is one of your fields. I'm sure you'll see the need to explain how the subject of your essay works in relation to this, as it's entirely dependent on it - and we're meant to be looking at the foundations.
In your arXiv paper you've argued very well for a flow of time. I call it motion through time, but we agree absolutely that it must exist. You've shown Barbour and others to be wrong in the idea that motion through time is an illusion, as I have in other ways. And you've argued, as I have, that standard block time is wrong. That means we both think the Rietdijk-Putnam argument, which is a rigourous proof that a fixed future comes out of spacetime, is wrong. Perhaps you'd explain why you think it's wrong, I've done that by suggesting the flaw is in the assumption that simultaneity across a distance has meaning (beyond the light cone).
You've also come up with an excellent way of hooking the quantum randomness up to the large-scale world in a Schrödinger type way, but using it to show that the future is unfixed. That makes a neat distillation the issue of quantum uncertainty versus the block time fixed future, which is a key part of my argument as well.
So we agree on a lot. We only disagree on whether the spacetime interpretation of SR can be kept, given this need to adjust the block time picture - we agree that SR itself is right. You're one of a number of people who (comparatively recently) seem to have come round to the idea that time must flow, who've then tried to bring that idea into block time, while keeping spacetime much as it is. This risks being 'cake and eat it' - you might have to choose. Ideas such as the 'crystallysing block universe' are similar to your EBU, or emerging block universe. Basically, the idea is that the block sets as time moves through it.
I can show a major weakness in this approach, and I see it as an attempt to 'fix-up' the spacetime interpretation, when it simply may be the wrong interpretation. The crux of the Rietdijk-Putnam argument is that an event can be in the past to one observer, but in the future to another. If that idea is wrong, block time falls apart completely. I've argued that it's wrong (because it depends on long range simultaneity).
But in your language, or that of the EBU, this means that to one observer an event has already been frozen into the block, while to another observer it hasn't. The question of which events have gone into the fixed part of the block is observer-dependent. As you probably see, this greatly weakens that whole approach. How then are we to deal with the physics of how an event gets frozen into the block? Some say recently that the collapse of the wave function may be the process of an event going from future to past. But again, if this is entirely observer-dependent, and depends on how one is moving, then it doesn't look like a physical process. And that problem is exactly what led to standard block time in the first place, along with illusions and all.
I'd appreciate your thoughts on this, and any comments on my essay, thank you.
Best wishes, Jonathan