>[!warning] >This content has not been peer reviewed. ## The Processing Time of Space Distance is not a static measurement; it is an active count of [[Translation|Translations]]. "Distance" ($d$) is the number of [[Translation]] steps required for one [[System]] to [[Relating|relate]] to another. Each step is an [[Event]] that costs [[Energy]]. A relation across $d$ steps costs $d$ times what a local relation costs. This means: - [[System|Systems]] with both high [[Information|resolution]] and high [[Relational Distance|distance]] require proportionally more [[Energy]] to persist - [[Relating|Relations]] that span large $d$ can only persist if $\sigma$ is low or [[Energy]] access is sufficient --- ## RRT Formalization **Ref:** [[Relational Resolution Theory (RRT)]], Section II. **Constraint:** $\Phi_{\min} = k_B \ln 2 \sum(d_i \cdot \sigma_i \cdot T_i / \tau_i)$. Relational cost scales linearly with [[Translation]] chain length. **Ref:** [[Relational Resolution Theory (RRT)]], Section IV.1. **Conjecture:** Each translation step corresponds to a quantum of physical space. If so, spatial distance is emergent and not a background void. ___ ## In the Equation **"The Where"** ($d$) $d$ is a cost multiplier. Each [[Translation]] step in a relational chain adds to the bill. [[Relating|Relations]] across [[Relational Distance|distance]] ($d > 1$) are proportionally more expensive than local ones.