I’ve done my best to explain how I run living world sandbox campaigns
Yes, I've read your posts and some of your blogs.
how sandbox campaigns function in general
Well, you haven't explained how (say) Ironsworn works. Which must mean you think it does not support sandbox RPGing. But
@Hussar in this thread asserts that it does support sandbox RPGing. And I've been persuaded to agree with Hussar.
how the world reacts independently, how player choice drives the action, and how the referee adjudicates outcomes based on prior state and consistent logic, not narrative priorities.
The last bit, yes.
The world doesn't react "independently", though - that's just a metaphoric way of stating that the referee says things based on the application of certain heuristics.
As for
player choices driving the action: it's clear that player choices
prompt the GM to say things - but what those things are is authored by the GM. The extent to which the players nevertheless
control or
guide what it is that the GM says can vary quite a bit, depending on reasonable knowability of (i) what the material is that the GM is working from, and (ii) what the heuristics are that the GM is working with .
But I’ve come to see that your focus remains rooted in the question of who holds authority, whether over the shared fiction, as you phrase it, or the narrative, as others do, alongside the assumption that all RPG adjudication is ultimately a form of shared fiction/narrative control.
All RPGing involves a shared fiction: that's part of what distinguishes this genre of games from others, like boardgames and purely mechanical wargames.
But you are correct that I have been talking about
who controls the shared fiction - although this is not the same as authority, for reasons I've already explained (just as, in bridge, I am the one who has authority to play my cards, but I don't always control the play of my cards - eg if a suit is led to me then I'm obliged to follow suit).
That framing, which treats every technique as a variation of story authorship, means there’s nothing further for you to learn from what I’ve laid out, because you continue to translate it into terms I’m explicitly not using.
With respect, you're not my teacher. I don't know when you started GMing your sort of "world in motion" RPG. I was doing it in 1990. Your posts succeed in setting out your thoughts. They are not introducing me to an approach that is new to me - I've been familiar with these sorts of approaches for some decades.
This is not a criticism of your posts and blogs. It's just a statement of how I am encountering them.