>[!warning] >This content has not been peer reviewed. # Axiom A2 — Workload **Statement:** Persistence is work. To exist is to resist noise (The Relational Landauer Principle; Landauer 1961). ## RRT alignment [[Relational Resolution Theory (RRT)]] §II — The Relational Landauer Principle: $\Phi_{\min} = k_B \ln 2 \sum_{i=1}^{n} \frac{d_i \cdot \sigma_i \cdot T_i}{\tau_i}$ - **Local case ($d=1$):** Minimum power to maintain resolution against thermal noise - **Relational case:** Relations across $d$ Translation steps cost $d$ times the local Landauer rate - **$K_R = \Phi_{\mathrm{measured}}/\Phi_{\min} \ge 1$** — no system persists below its Landauer floor **Citation:** Landauer, R. (1961). *Irreversibility and heat generation in the computing process.* IBM J. Res. Dev. 5, 183. ## RST identification | RRT | RST | |:---|:---| | Energy Floor ($\Phi_{\min}$) | [[Workload]] — gravitational maintenance effort | | Persistence cost | Resource Triangle: $W^n = \Omega^n + N^n$ | | Local Landauer | Fidelity $\mu(\eta,n)$; $\eta = N/\Omega$ | ## Derived concepts - **Fidelity function** $\mu(\eta,n)$ — [[Fidelity Derivation]] - **Resource Allocation Equation** $I = \Omega \cdot \mu$ - **Pure Axiom Substrate** — Landauer pruning; high-cost edges removed --- **See also:** [[Graph Size Hierarchy (RST)]] — Landauer cost (A2) underpins the graph-size hierarchy. *Full axiom set: [[RST Baseline 1.0]], [[Relational Resolution Theory (RRT)]]*