frenchyge said:I don't think trail applies when there's no forward motion of the forks relative to the contact patch to pull the wheel back in line. I'd guess that's why tighter input is required to keep the bike on rollers upright.
Ah, but the wheel and bike don't know they're not going anywhere. The wheels still turn and are tracking the surface beneath them. The only thing missing is relative wind. You can also see this by choosing different frames of reference. If the bike is the frame of reference, there is a surface passing under the wheels as they rotate. If a point on a roller is the frame of reference--just like having an observer by the road as you ride by--then the the wheels are riding past that point of reference. You can exchange any of them, and the laws of motion still apply the same.
Now there is a difference in friction between the tire and the roller and the tire and a street, with the roller providing less friction, generally, than the street. As a result, you can turn the wheel, while on the rollers, and have the wheel pivot/slide as opposed to tracking in an arc as on the road. That, I think, is a big contributor to instability on rollers. I also wonder what the differences in shape of the contact patch between road and roller does. The contact patches are definitely smaller since the load (weight) at each wheel axle isn't perpendicular to the contact patch.
Lastly, perhaps another huge issue is the bike's balance. On the ground, with a rider balanced such that the bike is perfectly vertical, there's no moment on the wheels/tires (in a perfect model). On the rollers, though, weight of the rider/bike combo introduces a moment about each wheel axle. This is just hypothesis. Do people do trackstands on rollers? I don't know. If so, are they harder than when they're done on the ground?