Paper T11: Filaments from Strain, Defects, and Interference Emergent Network Dynamics in the Holosphere Lattice

This paper investigates filament formation as an operational transport outcome of thresholded angular phase inheritance on a discrete Holosphere lattice. Filaments are defined as seed-connected coherence corridors that remain admissible under a two-tier gate contract (link and step mismatch limits) and a finite first-crossing budget termination rule. The percolation exponent β = 3/2, imported from prior work, is treated as an organizing inheritance class rather than a fitted parameter. A controlled gate-structure ablation compares a structured spatial gate (STEP1) against uniform and gradient-suppressed controls (STEP2 and STEP3). Simulations were performed on extended domains up to N = 140 with periodic boundaries and multiseed sweeps (10 seeds) in a high-coherence regime. Results show robust regime separation across β and a clear gate-gradient vorticity channel in the structured case. The structured gate consistently produces larger filament-area fractions and stronger organizer-scale clustering than controls. However, under the declared mismatch windows and finite budget, global spanning survival is not observed in 2D, even in expanded domains. The absence of spanning in a stable high-coherence regime suggests that percolation in this contract is topology-limited rather than noise-limited. The results therefore support a conservative conclusion: spatial gate gradients measurably shape local corridor nucleation, while global spanning remains an open falsifier that may require higher-dimensional connectivity (e.g., cuboctahedral 3D geometry) or altered inheritance topology.