If every pair (a,e) led to a different world-state, this would be the boring case of complete factorizability, right? As in, you couldn’t distinguish this from the world having no dynamics at all, just a recording of the choices of a and e. Therefore it seems important that your dynamics send some pairs of choices to identical states.
But that’s not necessarily how the micro-scale laws of physics work. You can’t squish state space irreversibly like that. And so W can’t be the actual microphysical world, it has to be some macro-level abstract model of it, or else it’s boring.
So I’m a little confused about what you have in mind when you talk about putting different bases A and E onto the same W. What’s so great about keeping the same W, if it’s an abstraction of the microphysical world, tailor-made to help us model exactly this agent? I suspect that the answer is that you’re using this to model an agent that also has subagents, so I’m excited for that post :)
If every pair (a,e) led to a different world-state, this would be the boring case of complete factorizability, right? As in, you couldn’t distinguish this from the world having no dynamics at all, just a recording of the choices of a and e. Therefore it seems important that your dynamics send some pairs of choices to identical states.
But that’s not necessarily how the micro-scale laws of physics work. You can’t squish state space irreversibly like that. And so W can’t be the actual microphysical world, it has to be some macro-level abstract model of it, or else it’s boring.
So I’m a little confused about what you have in mind when you talk about putting different bases A and E onto the same W. What’s so great about keeping the same W, if it’s an abstraction of the microphysical world, tailor-made to help us model exactly this agent? I suspect that the answer is that you’re using this to model an agent that also has subagents, so I’m excited for that post :)
Your suspected answer right.