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## Main Question or Discussion Point

If this is in the wrong section, I apologise, and would appreciate it if a forum veteran would show me the wrongs of my ways.

In one of Zeno's paradoxes, it is argued that travel over any finite distance is impossible, because the distance can be divided an infinite number of times. Therefore there is no first distance to run, because any possible (finite) first distance could be divided in half, and hence would not be first after all. Hence, the trip cannot even begin.

I understand though, that there is an indivisible unit of length- the Planck length- which I would have thought makes Zeno's paradox obselete.

However, to me, this presents a new problem.

The smallest unit of distance = the speed of light/the smallest unit of time

Or

Planck length = c/Planck time

So how far does anything slower than light travel in the same distance?

Simple logic would suggest that:

½c/Planck time = Planck length/2

Or- something traveling at half the speed of light travels half a Planck length in one Planck time.

Obviously, the implication of this is that Planck length is not fundamental. Please help.

## Homework Statement

In one of Zeno's paradoxes, it is argued that travel over any finite distance is impossible, because the distance can be divided an infinite number of times. Therefore there is no first distance to run, because any possible (finite) first distance could be divided in half, and hence would not be first after all. Hence, the trip cannot even begin.

I understand though, that there is an indivisible unit of length- the Planck length- which I would have thought makes Zeno's paradox obselete.

However, to me, this presents a new problem.

## Homework Equations

The smallest unit of distance = the speed of light/the smallest unit of time

Or

Planck length = c/Planck time

So how far does anything slower than light travel in the same distance?

## The Attempt at a Solution

Simple logic would suggest that:

½c/Planck time = Planck length/2

Or- something traveling at half the speed of light travels half a Planck length in one Planck time.

Obviously, the implication of this is that Planck length is not fundamental. Please help.