>[!warning] >This content has not been peer reviewed. [[Information]] and [[Proper Time|Time]] exist in a recursive loop through entropy. They are deeply entangled through [Thermodynamics](https://en.wikipedia.org/wiki/Thermodynamics), neither independent of the other. It's not a cycle, it's a co-emergence. [[Translation]] of information comes with translation cost, which causes entropy, which causes "The Arrow of Time". However keeping [[Memory]] is an active event of translation. --- ## RRT Formalization **Logic:** Formalized by $\Phi_{\min}$: [[Translation]] consumes [[Energy]], dissipation produces entropy, entropy defines the local arrow of [[Proper Time|Time]]. **Constraint:** [[Information]] and [[Proper Time|Time]] co-emerge through this loop. Neither is independent of the other. ___ ## In the Equation **"The Loop"** Formalized by $\Phi_{\min}$: [[Translation]] consumes [[Energy]], producing entropy, and entropy defines the experienced direction of [[Proper Time|time]] (the [[Local Arrow]]).