Brian Cox explain Pauli exclusion principle

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Watching Brian Cox "BBC - Professor.Brian.Cox.A.Night.With.The.Stars - 2011"

After 34 min he starts to talk about Pauli exclusion principle

No electron can be in the same energy state he says. This is not just true for an atom
a molecule or the diamond he is showing. No this goes for the whole universe

When he warms the diamond up in his hands EVERY electron in the whole universe must "communicate" with each other to make shure no electron have same energy state

I just can't believe this is true. What are your thought about this?
 
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