phonemic silence??

I thought of something that I found very odd: a phonemc silence

Is there a language in which the lenght or simply the presence of a silence
in a sentence could mean something concrete?

For a human language I'd find it weird (and like to know if it exists) but I
can easily find a situation where it could happen in an alien specie that
continiously produce a sound whith a part of their body and that stopping it
could be phonemic.

But in a human language I'd like to know

- Max

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