Jess: ah, thanks. Wait, how does that identify position space as “special”?
But wait, wouldn’t that still imply there’s no unique way to slice something into a positional configuration space? ie, given a lorenzian reference frame, you can then define a configuration space and amplitudes over them, but different frames would produce different configuration spaces, so there probably isn’t a “single true” set of positional configurations. So one can freely sum and reslice them along different lines anyways. I’m guessing that, if anything, configurations of histories over spacetime is the “proper” slicing. But then, since configurations have that history independant character...
Jess: ah, thanks. Wait, how does that identify position space as “special”?
But wait, wouldn’t that still imply there’s no unique way to slice something into a positional configuration space? ie, given a lorenzian reference frame, you can then define a configuration space and amplitudes over them, but different frames would produce different configuration spaces, so there probably isn’t a “single true” set of positional configurations. So one can freely sum and reslice them along different lines anyways. I’m guessing that, if anything, configurations of histories over spacetime is the “proper” slicing. But then, since configurations have that history independant character...
Or am I completely missing something basic here?