They can 100% tell you verbally through the door “You are under arrest,” and at that point, staying inside your house is obstruction. This idea that by making it physically difficult for the cops to put their hands on you, you’re putting yourself in a better position legally or practically, is 100% wrong.

Lol, no they cannot…… Not unless they have an arrest or search warrant.

I don’t think you understand how a cop telling you “you are under arrest” works, and I don’t really want to have an extended back and forth with you about this. You can read the links I sent, if you want general guidance. Cheers.