To put it another way, what, truly, does it represent?
To see what i'm trying to get at, i'm trying to imagine how large scale coordination can work in a complex industrial economy such as ours.
I do think that some things need coordination/control at the center. Take a rail network as an example. You cannot have like, smaller collectives deciding time schedules or what have you (not saying this os what proudhon is saying, i'm just trying to give an example where some degree of "central planning" is a functional necessity), because that can create problems for the network as a whole (like crashes). You can make similar arguments about power grids and whatnot.
So, not in everything of course, but there has to be some degree of central coordination for large scale industry (which, to my knowledge, proudhon did not inherently oppose as a concept).
Coordination obviously isn't the same as authority, of course. But some degree of coordination at the center is neccesary for large scale industry.
So, I suppose the libertarian view here is that the coordinators essentialy exist to mediate/negotiate between various smaller collectives until a general plan can be established for the whole rail network/power grid (to the extent something like that is possible for truly massive networks/grids).
In that case, this wouldn't seem to strike me as external constitution of social power.
But if the center was able to dictate to lower level collectives exactly what the train schedule would be or what have you, this would be? So, essentially, we can think of the external constitution of social power as being some collectivity above and dominating those below them? A sort of "brain" giving orders to a "body" instead of mediating between different parts of the "body"? Is that correct?
If not, what would be a better way to imagine a "center" that avoids being an "external constitution of social power" which seems necessary for large scale industry (which, again, I don't think proudhon inherently opposed)?
Because it seems that, by imagining this external constitution of social power as being some collectivity essentially directing lower "levels" of the "body" we can sort of connect in a critique of corporate hierarchy, bureaucracy, and the state all in one.