Paper 10D: Dynamical Corridor Transport and Lifetime Collapse on the Cuboctahedral Lattice

Paper 10D studies how transport corridors behave when admissibility is allowed to evolve in time on the cuboctahedral working lattice of Holosphere Theory. Earlier papers in the Paper 10 series showed that transport can fail when local phase mismatch exceeds a coherence threshold, and that this corridor-collapse effect persists on the three-dimensional FCC implementation of the cuboctahedral geometry. The present paper extends that framework from a static connectivity test to a dynamical transport model in which mismatch changes over time under stochastic forcing and local relaxation. The main observable is the corridor lifetime, defined as the time until no admissible spanning corridor remains across the lattice. Using time-resolved Monte Carlo simulations, the paper measures lifetime statistics, spanning survival curves, and pre-collapse path geometry across a declared parameter sweep. The results show a clear dynamical persistence transition separating long-lived transport, metastable near-threshold behavior, and rapid collapse. The sweep also shows that stronger healing shifts the persistence boundary toward larger mismatch amplitudes, while larger FCC boxes provide a smaller but still visible stabilizing effect through greater route redundancy. Near collapse, surviving corridors become increasingly tortuous, indicating progressive fragmentation before final transport failure. These findings show that coherence-limited transport on the cuboctahedral lattice is not only a static connectivity phenomenon but also a genuine dynamical persistence process, providing a bridge between the static corridor-collapse analysis of earlier papers and later transport-grade dynamical models.