>[!warning] >This content has not been peer reviewed. # BSD solver — results Output from **[[BSD Solver - Code]]** (script: `rst_bsd_solver.py`). --- ## What is shown - **Horizontal axis:** Spectral scale $s$ from 0.5 to 1.5 (500 points). - **L-function (noise proxy):** $(s-1)^2$ — a zero of order 2 at the critical point $s=1$ (mock rank $r=2$). - **Fidelity (rank presence):** $1/(1 + L_{\text{noise}}^n)^{1/n}$ with $n=1.25$. Peaks at $s=1$ where the noise vanishes. - **Vertical line:** Critical point $s=1$. The plot illustrates the RST reading: **zeros in the L-function (noise)** create **capacity for rational points (fidelity)** at the same scale — rank and analytic zero as one balance sheet. --- ## Output | File | Description | |:---|:---| | `bsd_solver.png` | Fidelity (blue) and L-noise proxy (red dashed) vs $s$; vertical line at $s=1$. |  --- ## Run Script run successfully; figure written to the same folder as the script. --- ## Links - **Application:** [[BSD Conjecture (RST)]] - **Code:** [[BSD Solver - Code]]