Piece on earth....?

is a pipe dream. Sadly so, but a reality.
Why do I say this? Simple: The survival of any, and I mean any, specy depends on the death of one or more other species.
Of course if you donot believe that grass is a living entity, albeit in it's simple form, then that is another story.
In our bodies there is a constant war situation... bacteries are fighting for survivals, viruses are fighting for their food and so on.

So what will happen in the end of times ?
Either a complete destruction of the universe we know or it will be reshaped into a new universe. Take your pick! That is of course if "time" exists...