Tony Buzan's speed reading book brings this up, particularly the eye movement.
The eye has two types of movement: the one you use to move from one object to another; and then the one that follows an object. He recommends the latter when speed reading, using a pen or pointy thing as an aid, your eyes following the tip as you sweep it across the page. You can move it from side to side, or down the middle, or zig-zagging, etc.
You accompany this with a metronome, to move the pen in regular movements.
I think in time the idea is that you can abandon the pen and metronome once you've got used to reading this way.