>[!warning] >This content has not been peer reviewed. # Axiom A1 — Bandwidth **Statement:** The substrate has a finite propagation speed ($c$) and resolution ($\hbar$). ## RRT alignment In [[Relational Resolution Theory (RRT)]], A1 combines: - **The [[Format]] ($f$):** The independent, dynamic substrate of reality - **[[Information]] & Resolution ($\sigma$):** The bit-count required to maintain distinctions The Format sets the physical constants ($k_B$, $T$) that determine the cost of [[Translation]]. Resolution $\sigma$ is the effective bit-count for a reference frame to distinguish states. ## RST identification | RRT | RST | |:---|:---| | Format ($f$) | Spacetime + aether field $A^\mu$ | | Resolution ($\sigma$) | Signal — the structure being maintained | | Finite $c$ | Maximum propagation rate; bandwidth limit | | Finite $\hbar$ | Resolution floor; quantum of action | ## Derived concepts - **Noise floor** $a_0 = cH/(2\pi)$ — from expansion scalar $\theta = 3H$ - **3D critical percolation** — A1 + A5 yields backbone dimension $d_B \approx 1.22$ - **Pure Axiom Substrate** — graph evolution constrained by A1 (no privileged scale) --- **See also:** [[Graph Size Hierarchy (RST)]] — graph structure (A1) underpins the graph-size hierarchy. *Full axiom set: [[RST Baseline 1.0]], [[Relational Resolution Theory (RRT)]]*