>[!warning] >This content has not been peer reviewed. # Scale binding (RST) Maps engine quantities to **physical units** (length, energy, time, temperature) so outputs can be compared to experiment. **RST is preserved**: the Resource Triangle $W^n = \Omega^n + N^n$, $I = \Omega \cdot \mu$, and $\eta = \Omega/N$ are dimensionless in engine space; binding is applied only at I/O so the Triangle and Landauer formulas remain rigorous. ## I. Conventions | Engine | Physical | Notes | |:---|:---|:---| | Position $x$ | $x_{\mathrm{phys}} = L_{\mathrm{ref}} \cdot x$ (m) | $L_{\mathrm{ref}}$ e.g. 1 Å = $10^{-10}$ m | | Signal / noise $S$, $N$ | $E_{\mathrm{phys}} = E_{\mathrm{ref}} \cdot \text{value}$ (J) | Same units so $\eta = \Omega/N$ unchanged | | dt (Proper Time $\tau$) | $t_{\mathrm{phys}} = \tau \cdot t_{\mathrm{ref}}$ (s) | RRT: $\tau$ is the step duration | | Landauer $T_i$ | $T_{\mathrm{ref}}$ (K) | Reference temperature | Implementation: `rst_engine.scale_binding.PhysicalScale` with `L_ref`, `E_ref`, `t_ref`, `T_ref`. Default: molecular scale (Å, ~$k_B T$ at 300 K). ## II. Links - **Code:** [[Reality Engine - Code]] (config: `scale_binding` section) - **Theory:** [[../../../../expanded theory/Resource Triangle]], Landauer (RRT)