Its not called Doom 4. It was simply put as Doom. Nothing else in the title and from what I hear and see it's built on an entirely new engine that Id created. They got there ideas from a mod called Brutal Doom link is provided be warned NSFW. Also I'm really looking forward to this coming out as well as you are!
I'm sorry to have to dissapoint you guys, but the trailer link is from the old DOOM series... don't know if it's DOOM II or FINAL DOOM, but I can assure you that it's one of these two. I have them both and played them endlessly! =)