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Neil Tyson says that electrons "teleport" between energy levels?

This page:

https://blog.afach.de/?p=62

Discusses the error Neil Tyson made when talking about electronic transitions (video included there). Neil Tyson clearly said in his Cosmos series that electrons disappear from one level and appear in the other one.

The guy in the page discusses that this is wrong, because there is no proof of that, and because it breaks simplest rules of relativity, and because it contradicts the simplest quantum model.

Is his argument correct? And why would Neil Tyson do such a horrible mistake?

For more information please visit the link. Thank you.