RZS Series: Adaptive Relational Repair in Weighted Sectorized Networks

In this work, I study how a damaged weighted network can choose between two repair directions: preserving internal sector identity or allowing later relaxation and reorganization. I model the system as a weighted directed graph divided into sectors, and I define operational measures such as sector autonomy, boundary exchange, entropy, anti-funnel dispersion, weight tension, sector stability, mixotrophy, quality, and mixotrophy retention. The central idea is simple: after damage, the amount of exchange across sector boundaries may tell us which repair strategy is more appropriate. I test this idea with Monte Carlo simulations, fixed repair protocols, an exchange-threshold adaptive policy, and additional stress tests over different graph sizes, damage regimes, boundary interventions, edge cases, and longer repair horizons. The result is not a universal repair law. I do not claim that one protocol always wins, nor that this model derives physical spacetime, particles, or fields. The useful result is narrower: in the tested weighted sectorized networks, damaged boundary exchange behaves as an operational control variable. It helps decide when internalization is useful and when relaxation/reorganization becomes more effective. The adaptive policy remains close to the casewise oracle in the tested regimes, while the stress suite shows no numerical invariant failures. I present this as a computational and reproducible study of relational repair. Its main value is to make the trade-off between identity preservation and reorganization explicit, measurable, and testable.