# RST Equilibrium Proof — Results Output from **[[RST Equilibrium Proof - Code]]**. --- ## What Is Shown The **Main Equation** $g_N = g_{\text{obs}}^2 / (g_{\text{obs}}^n + a_0^n)^{1/n}$ is solved for: - **Local universe (z=0):** $a_0 = 0.05$ (normalized) - **Early universe (z=2):** $a_0 = 0.15$ (~3× higher) The plot shows orbital velocity $\sqrt{g \cdot r}$ vs radius. At fixed mass, the asymptotic velocity at $z=2$ is **~32% higher** than at $z=0$ — the **Kinematic Shift** (Gate 1, falsifiable). --- ## Output | File | Description | |:---|:---| | `rst_equilibrium_proof.png` | log-log plot: local vs z=2 vs Newtonian | --- ## Reference [[RST Baseline 1.0]] — Section V (Falsification Gate), Section VI (Python Proof). [[Relational Substrate Theory (RST)]].