If you put an boulder in front of a blind wanderer traveling in a straight line, they'll bump into it and stop. If they're wandering in a plane, however, they m

If you put an boulder in front of a blind wanderer traveling in a straight line, they'll bump into it and stop. If they're wandering in a plane, however, they might wander past it. You can install a line of boulders instead. But if it's a blind drifter drifting through a 3D volume, they might drift past the string of boulders. For every increase in the number of dimensions N the wanderer can move through, an obstacle must block that many more pathways, in order to remain an obstacle. Complex genomes, having high-dimensionality phase spaces, present fewer systematic barriers to genetic drift, allowing populations to spread out through more of the phase space, which in turn ratchets up the probability some mutation would emerge that increases fitness.