Antonyms for the phrase "bring to a standstill" include words such as allow to continue, clear the way, expedite, facilitate, and promote. All of these words imply movement, progress, and forward motion. They also suggest that something is ongoing, and that progress is being made. However, it is important to note that sometimes bringing things to a standstill is important or necessary, and that sometimes progress requires a pause or slowdown. In conclusion, while the phrase "bring to a standstill" may sometimes imply negative connotations such as delays or impasses, there are many positive antonyms that can be used to convey the opposite.