Disconfirming Edge — Free Energy vs Least Action
Disconfirming Edge — Free Energy vs Least Action
§SELF — oip-disconfirming-edge-free-energy-vs-least-action
What this page is: a published tension between free-energy / dissipative accounts and least-action / extremal accounts. What it explains: minimize vs extremize is not the same claim; listing both as independent convergence nodes without this edge flatters the thesis. Why read it: this is the kind of fight the catalogue must surface, not bury.
The conflict
- Least action / calculus of variations: physical trajectories extremize an action functional (often minimize, sometimes saddle).
- Free energy / dissipative structure: systems maintain order by gradient consumption; the story is about minimizing free energy under constraints, not about the same action functional as classical mechanics.
They rhyme. They are not automatically one node. Treating C01-style gradient dissipation, free-energy principles, and least action as three independent convergences inflates N.
What would reconcile them
A derivation showing free-energy gradients and least-action paths are the same variational object under a stated transform — with domain of validity. Until that derivation is cited in-page, the edge stands: do not count both as fully independent.