I am still relatively new to the Puzzling section of Stack Exchange; but with a single puzzle under my belt, I'm back with another one. It took me some time to put this one together and it has been heavily influenced by a research project. I have broken this puzzle into three parts; I tried to tie them together as much as possible. Your goal is to solve the puzzle with as few parts as possible, keeping in mind that the answer is two words.
Part One:
My prefix is an argument.
My suffix is an emmet.
My infix is an acronym.
I am a synonym.
Part Two:
Your first thought is an animal, your second is a sin; what you truly desire is an antonym.
Part Two's Hint:
In reality the word you seek is a synonym of an antonym. You'll have to work hard to locate it, or simply solve the following riddle; I am never still yet never resting. I move to and from at the same time. I am governed by a trinity. What am I?
Part Three:
Theorized for ages, on millions of pages, research seems unabating. Many desire, to solve but tire, the laws of physics keep confuting.
Hopefully this wasn't too terrible. Good luck, and feel free to let me know what you think!