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In the 2016 science fiction movie "Arrival," a linguist is faced with the daunting task of deciphering an alien language consisting of palindromic phrases, which read the same backwards as they do ...
Beyond that, alien communication could have a higher Shannon entropy than human language, and if it is much higher, it might make their language too difficult for humans to grasp.
Cornell Ph.D. Students Created an Alien Language for ‘Captain Marvel’ By Samantha Stern Apr 10, 2019 12:00 am · Updated Apr 10, 2019 12:07 am Reading time: about 3 minutes ...
Language is ephemeral, it leaves no examinable trace in the fossil records. Unlike bones, we can't dig up ancient languages to study how they developed over time.