by Carson Reynolds
So I’ve started to have some ideas about what a Lagrangian is. It seems to classical lagrangian mechanics builds out of a newtonian perspective about motion: namely that things can be analyzed by looking at a set of discrete masses and their postions, velocities, yadda ya. So it seems the lagrangian perspective is to analytically solve for the “action” of a system by looking at the configuration at some instant in time. It seems like a super-set of newtonian mechanics that describes not just the realized path, but the space of possible paths with the realized path as it’s stable point. I’m still fighting with the idea though.