POTUS has no constitutional authority to shut down any element of social media.
And everyone here should be damn glad of that.
At best the US DOJ can pursue violations of existing laws. And none of those laws will have anything to do with censorship. As all social media is free to censor as they see fit.
“POTUS has no constitutional authority to shut down any element of social media.”
No, but he can break them up into little pieces like Standard Oil if they’re using monopolistic power to stifle competition. The question here is does Twitter’s behavior rise to that level?