>[!warning] >This content has not been peer reviewed. The Total Budget is the full resource envelope that the [[Format]] allocates to maintaining a local region of reality. It is the sum of all effort — both the useful work ([[Workload]]) and the wasted work (fighting the [[Noise Floor]]). The Budget is the hypotenuse of the [[Resource Triangle]]. It is always larger than either the [[Workload]] or the [[Noise Floor]] alone. It represents the true cost of [[Existence]] at a given [[Location]]. You never see the Budget directly. You measure the [[Workload]] ($\Omega$) and infer the Budget ($W$) from the relationship $W = (\Omega^n + N^n)^{1/n}$. --- ## RST Formalization **Symbol:** $W$ **Logic:** $W$ is the hypotenuse of the [[Resource Triangle]]: $W = (\Omega^n + N^n)^{1/n}$ It is the $L^n$-norm of [[Workload]] and [[Noise Floor]]. **Constraint:** $W \geq \Omega$ and $W \geq N$ always. The total cost is never less than either component. --- ## In the Equation **"The Capacity"** ($W$) The Budget determines the [[Fidelity]]: $\mu = \Omega / W$. When $W \approx \Omega$ (noise is negligible), fidelity is near 1. When $W \gg \Omega$ (noise dominates), fidelity drops. The [[Signal]] is the projection of [[Workload]] onto the Budget: $I = \Omega^2 / W$. --- ## In Physics The Budget is not directly measured in any single experiment. It is the theoretical quantity that unifies the [[Signal]] and the [[Noise Floor]] into a single resource accounting. In gravity, $W = (g_\text{obs}^n + a_0^n)^{1/n}$.