Discuss Findings

highway detection fraction and median emergence time by initial black density: rho0=0.00 -> 1.000 and 9984 steps exactly; rho0=0.01 -> 0.99749 [0.99675, 0.99822], median 21449 [20943, 21955], skewness 2.67; rho0=0.02 -> 0.71370 [0.70840, 0.71899], median 113713 [111044, 116382], aggregate tail metric 10354 [9765, 10942], skewness 0.812; rho0=0.05 -> 0.00934 [0.00825, 0.01044], median 197178 [173940, 220416] among rare successes; rho0>=0.20 -> no highways observed in the sanitized aggregate.

CONFIRMED. Highway formation collapses sharply rather than gradually as initial black density increases. Detection stays near certain at rho0=0.00 and 0.01, falls to 0.71370 at rho0=0.02, drops to 0.00934 at rho0=0.05, and is absent in the sanitized aggregate for rho0>=0.20. Median emergence time also jumps from 9984 steps on the blank grid to 21449 at rho0=0.01 and 113713 at rho0=0.02, showing a strong kinetic bottleneck before failure becomes overwhelming. The data support a narrow disorder-sensitive transition in access to the highway basin rather than a smooth slowdown of the classic ant dynamics.