[crimsonalucard]

>Discrete math is important because the universe is discrete. Continuous math is an approximation that sometimes, but not always, is rather convenient.

This is not true. There are "things" in the universe that are discrete (for example: matter). But whether the universe itself is discrete is something we don't know.

What is the smallest discrete measurable length in the universe? We don't know.

[dbcurtis]

Would you concede that the Planck length is a good approximation of the smallest measurable length in the universe?

[JoeAltmaier]

The change in radius of a black hole when 1 bit of information is added is much smaller than 1 Planck length. The Planck length is just a convenient unit of measure in physics. It has no relevance to limits of space or time at all.

Here's an article on the subject:

https://www.quora.com/Is-there-anything-smaller-than-a-Planc...

[dbcurtis]

Interesting. I am now better informed.

[Sean1708]

Why would the Planck length be the smallest measurable length in the universe?

Edit: To be more clear: Is there a theoretical reason why the Planck length would approximate the smallest measurable length?