I Hypothetical Question About Particles & Movement

[InfiniteEntity]

I was watching videos on YouTube and this question suddenly popped into my head: If I was able to push a sub-atomic particle (proton, electron, etc...) a distance of 1 Planck length. Excluding all the quantum interactions and uncertainties, is it possible to measure/calculate how fast the particle would be going? Or how much time it takes for it to travel that distance?

I was thinking that it would travel at the speed of light, making it easy to determine the time taken, but I figured that since the particles are not of mass-less property, they cannot travel at the speed of light.

P.S I have a chemistry exam tomorrow and I'm thinking of this thing. Help me.

 

[Drakkith]

Yes, the velocity would just be the distance divided by the time taken to travel that distance. The Planck length is nothing special in this regard.

 

[InfiniteEntity]

That's fine. But then, how would you really measure the time taken by the particle? Is there any sort of special equipment (if measurable) or equation (if calculable) needed other than just knowing or assuming the value?

 

[Nugatory]

That's fine. But then, how would you really measure the time taken by the particle? Is there any sort of special equipment (if measurable) or equation (if calculable) needed other than just knowing or assuming the value?

The times and distances involved are much smaller than we can measure with our best available lab equipment, so it's possible (and good reasons to think it's likely) that some as not unknown physics will appear at that scale. But based on what we know so far, there's nothing special about the Planck length; it's just a distance like any other.

 

[king vitamin]

Excluding all the quantum interactions and uncertainties

This sort of makes the problem completely trivial, because the Planck length is defined using quantum mechanics (and is expected to be important for quantum gravity). If you ignore the theory that makes it significant, then it is not significant, and you're just moving a particle by a particular length scale.

 

[PeroK]

P.S I have a chemistry exam tomorrow and I'm thinking of this thing. Help me.

Concentrate on the chemistry!