What makes Planck Length so important?

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So I get that a Planck length is the smallest length measurement that we have. But why?

I know it has something to do with gravity and speed of light in a vacuum. But why?  Is it the size of the universe as early as we can calculate prior to the Big Bang?  What is significant about it?  

All the videos I see just say it’s a combination of these three numbers, they cancel out, and you get Planck length – and it’s really really small. Thanks in advance!

In: Physics

5 Answers

Anonymous 0 Comments

Have you ever heard of [Zeno’s Dichotomy Paradox?](https://en.wikipedia.org/wiki/Zeno%27s_paradoxes#Dichotomy_paradox). It basically asks the question of how you could ever arrive at a destination when you always have to pass through a halfway point between where you currently are and where you want to go?

The Planck Length is basically the universe’s answer to that paradox, which is to impose a minimum amount of time that must elapse and a minimum amount of distance that can be traveled during that time. Because that minimum amount of distance per time can be greater than the halfway point between you and your destination, Zeno’s paradox doesn’t exist in the real world and objects can move meaningfully in space.

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