I am having trouble following you. If little-omega is a reference frame I would expect it to be a function that takes in the “objective world” (Omega) and spits out a subjective one. But you seem to have it the other way around? Or am I misunderstanding?
ω isn’t a reference frame; rather, if ψ is a world then ω−1({ψ}) aka {ι∈I∣ω(ι)=ψ} are the reference frames for ψ.
Essentially when dealing with generalized reference frames that contain answers to questions such as “who are you?”, the possible reference frames are going to depend on the world (because you can only be a real person, and which real people there are depends on what the world is). As such, “reference frames” don’t make sense in isolation, rather one needs a (world, reference frame) pair, which is what I call an “interpretation”.
I am having trouble following you. If little-omega is a reference frame I would expect it to be a function that takes in the “objective world” (Omega) and spits out a subjective one. But you seem to have it the other way around? Or am I misunderstanding?
ω isn’t a reference frame; rather, if ψ is a world then ω−1({ψ}) aka {ι∈I∣ω(ι)=ψ} are the reference frames for ψ.
Essentially when dealing with generalized reference frames that contain answers to questions such as “who are you?”, the possible reference frames are going to depend on the world (because you can only be a real person, and which real people there are depends on what the world is). As such, “reference frames” don’t make sense in isolation, rather one needs a (world, reference frame) pair, which is what I call an “interpretation”.