The world can "fall apart" without people dying. For example, the ongoing currency wars. You can also have violence without death. Guantanamo and Abu Ghraib are examples. Because these people are only tortured, and not murdered, is that considered "peaceful"? And it also would depend on how far back you draw the data from. Is the Stalin famine of the 30s modern, or ancient? If we cast the data back to the 1600s, it's…
"The decline in violence, he argues, is enormous in magnitude, visible on both long and short time scales, and found in many domains, including military conflict, homicide, genocide, torture, criminal justice, treatment of children, homosexuals, animals and racial and ethnic minorities."
http://en.wikipedia.org/wiki/The_Better_Angels_of_Our_Nature