/sci/ - Science & Math

>>8406635
I don't get what you mean by "assigning the dynamics". Naming the Lagrangian are constraints on the (a priori bigger) state space that implicitly specifies the legal configurations. Then initial conditions determine solutions within that space (and you're not gonna find a procedure to solve some super general Lagrangian system explicitly). So given a Lagrangian, what does the left-right construction give you?
And if you move through some space of Lagrangians that descibe the same system, that basically sounds like renormalizaion theory.