When an object move in space, what decides where it moves to? For instance there's no rule saying you can't move from 0 to 3, but have to move from 0 to 1 simply because 1 is next to 0 in terms of distance.
Don't forget - "you" are a lot bigger than the Planck length.I'm looking more for a science proof has to do with the particle movement. The smallest distance is known as Planck Length as someone mentioned. (http://en.wikipedia.org/wiki/Planck_length) So if you move through Planck Length from point A to point B, what decides where you show up when you hit point B, because with Planck Length being the smallest distance it seems like you've skipped this distance and ended up in a new place. Does movement of any length and size comes down to this as a minimum?
Well for an object to be moving it must have some kinetic energy*. This describes the work needed to accelerate a body, the direction of travel will be dependant on how the body received this energy i.e. if some one pushed it, the direction of travel and where it ends up will be in the direction of the applied force i.e. the push.When an object move in space, what decides where it moves to? For instance there's no rule saying you can't move from 0 to 3, but have to move from 0 to 1 simply because 1 is next to 0 in terms of distance.
This brings in the question of the size of the smallest particle. Is a particle of 'zero' size really to be regarded as less than the Planck length?I'm no expert on this but...
It sounds like the OP is assuming particles can only occupy positions that are on a plank scale grid. Are there theories that suggest this might be the case?
Are you aware that you're asking for what is going on for something that (i) is hypothetical and (ii) no one has observed/detected before? There's a distinct possibility that this "Planck Length" might not even exist the way it has been envisioned. Wouldn't such a discussion be a total waste of time if that were to happen?I understand the object is supposed to move in the direction of the applied force, I'm just not sure how the object ends up at that position after the displacement. To me it seems like every movement made is going through multiples of Planck Length, and since movement is possible, there must be a smooth transition for an object to travel from one location to the next. Like something is telling you, after you move away from point A, you will end up in point B. I guess my question would be what goes on between Planck Length that displaces you to the next position.
The idea of the Planck length is that you could not use quantum mechanics (as it is now) to describe motion on a length of scale smaller than the Planck length. You would need some kind of theory of quantum gravity, or some other extension which they haven't thought up yet. But this doesn't necessarily mean that motion occurs in 'steps' of the Planck length.To me it seems like every movement made is going through multiples of Planck Length, and since movement is possible, there must be a smooth transition for an object to travel from one location to the next.
For a single object in space, without any fixed point of reference, does displacement/distance have any meaning? So the question is what does motion mean to the object itself.When an object move in space, what decides where it moves to? For instance there's no rule saying you can't move from 0 to 3, but have to move from 0 to 1 simply because 1 is next to 0 in terms of distance.
You are on the right track, but remember that the force is external to the particle. As you are considering the particle itself and not the external force, you should think of it in terms of the energy/momentum of the particle.After some thought, I think force decides the direction the object is supposed to travel, but not the destination. Since force remain constant at all places, but the place you travel to is different. So does that mean the space you're in uses force to find the destination you travel to? And does bending space generate a force in return. Just some thought, hopefully I'm not off topic.
Yeah, that is true. But this is true for a path of any length, for example A and B could be meters away from each other. This is why I was saying that particles don't just do little jumps on the order of the planck length.When an object moves from point A to point B, unless you actually make a measurement of the object in an intervening point, you can't say for certain that it has passed through this intervening point. According to Dr. Feynman, you have to take into account ALL possible routes connecting point A to point B to calculate the probability for the object to end up at B. The exact path is unknowable and unphysical, so you might as well say that the object jumps from A to B.