>[!warning] >This content has not been peer reviewed. # Homeostasis identity loop — Results Script `rst_homeostasis_identity_loop.py` was run to verify the RST identity loop (round-trip \(\Omega \to I \to \Omega'\)). ## Output (representative) ``` Homeostasis identity loop (round-trip Omega -> I -> Omega') Trials: 200 Max relative error: 3.63e-10 PASS: identity loop verified. ``` ## Interpretation The engine’s `source_from_rst` and `solve_omega` are numerically consistent: the equilibrium condition \(I = \Omega \cdot \mu(\Omega/N)\) is satisfied to within numerical tolerance. So the **homeostasis identity loop** is verified at the level of the core maths. ## Links - **Application:** [[Homeostasis (RST)]] - **Code:** [[Homeostasis Identity Loop - Code]]