Summary: beautifully shot, thought-provoking nonsense that's worth watching. High marks for imagination, but can't we have a science fiction movie that is imaginative, thought-provoking and stays logical for the entire duration?
Some spoiler-laden complaints follow...
The arrow of time is not a Sapir-Whorf phenomenon.
No-one builds high technology without acquiring the same basic mathematics we have.
There aren't indestructible substances that we can't figure out anything about.
Presented with a technology that controls gravity, you'd have scientists and their equipment jam-packed around it monitoring and experimenting 24-7 for years.
We don't need to worry about how to communicate with alien visitors. They'd learn our languages with ease and talk to us if and only if they want to.
I hope in real life the USA would put together a decent-sized science team instead of relying on a couple of quirky individuals.
Why would Louise tell Ian about their daughter's future if she knew he'd leave?
What happens if Louise tries to prevent what she forsees? Maybe this is connected to the previous question.
It was a nice change to have a leading couple in which the man was the superfluous accessory/love interest.