I think I am starting to see how this could be seen as a paradox, but It seems to go along with Zeno's Paradox but the result of Zeno's Paradox is not valid by experiment. It states that if you could divide the distance between two objects an infinite number of times that you would have to move an infinite number of distances to get from point A to point B. Since an infinite number can not be achieved then movement would be impossible. He was more or less trying to show that infinite division was not valid in mathmatics because it holds no basis in reality, but the kicker is that we ended up doing it anyways because Plato didn't believe in his theory.
So if you where to divide a force in the same manner it seems like you are assuming that the amount of force you could apply would be infinitesimal. So then you would not be able to move the object at all, but the fact of the matter still stands that you can apply a force to move an object.
I think the solution to the paradox is that space is not continuous and is particular. It can't be divided infinitely. This would be because the Planck Scale has an effect on the basis of reality itself. So then any distance could only be divided into 10^-33cm, and everytime you move you jump all the distances inbetween that distance.
Say for instance you decided that you wanted to try and get better at playing basketball but you could hardly even dribble the ball. Your skills where so bad that you wouldn't be caught dead practicing so you only went out at night to practice. You noticed the light from the moon also might allow someone to see how horrible you where at it so you didn't even practice when the moon was out. You where really bad so you then did this every night there was no moon in the sky.
Physics tells us that with each impact of the basketball to the Earth would push the Earth ever closer and closer to the Moon. But it doesn't, if it did every random interaction on the planet could move it significantly if they where all considered together at the same time. The Earth would fall out of orbit of the Sun and we would all be doomed, just from every automobile accident being a collsion in the same direction. The thing is that we are so insignificant to the Mass of the Planet Earth, that each of those individual interactions has no effect on it. If the physicist just rounded the movement of Earth from the Planck Scale to zero, he could in turn describe the interaction more accurately.
I think the only possiblity of a Zero Point Theory having any basis on reality would be at the moment of the Big Bang. It would have had infinite energy and then "detect" something smaller than the Planck Scale.
So then in order to move an object more smoothly you would just need a bigger setup or a smaller magnet. For example, if you had a shaving of the magnet under the peice of iron that would only affect it at about the Plack Scale then it would be no different than if it wasn't even there at all.
So if you where to divide a force in the same manner it seems like you are assuming that the amount of force you could apply would be infinitesimal. So then you would not be able to move the object at all, but the fact of the matter still stands that you can apply a force to move an object.
I think the solution to the paradox is that space is not continuous and is particular. It can't be divided infinitely. This would be because the Planck Scale has an effect on the basis of reality itself. So then any distance could only be divided into 10^-33cm, and everytime you move you jump all the distances inbetween that distance.
Say for instance you decided that you wanted to try and get better at playing basketball but you could hardly even dribble the ball. Your skills where so bad that you wouldn't be caught dead practicing so you only went out at night to practice. You noticed the light from the moon also might allow someone to see how horrible you where at it so you didn't even practice when the moon was out. You where really bad so you then did this every night there was no moon in the sky.
Physics tells us that with each impact of the basketball to the Earth would push the Earth ever closer and closer to the Moon. But it doesn't, if it did every random interaction on the planet could move it significantly if they where all considered together at the same time. The Earth would fall out of orbit of the Sun and we would all be doomed, just from every automobile accident being a collsion in the same direction. The thing is that we are so insignificant to the Mass of the Planet Earth, that each of those individual interactions has no effect on it. If the physicist just rounded the movement of Earth from the Planck Scale to zero, he could in turn describe the interaction more accurately.
I think the only possiblity of a Zero Point Theory having any basis on reality would be at the moment of the Big Bang. It would have had infinite energy and then "detect" something smaller than the Planck Scale.
So then in order to move an object more smoothly you would just need a bigger setup or a smaller magnet. For example, if you had a shaving of the magnet under the peice of iron that would only affect it at about the Plack Scale then it would be no different than if it wasn't even there at all.