Are you kidding me? Your mathematical models predict collapse in three to ten centuries, and I'm supposed to take you seriously? To quote Michael Crichton, if people in the year 1900 had been worried about their descendants just one hundred years in the future, they probably would have wondered, "Where would people get enough horses? And what would they do about all the horseshit?" Today, of course, horseshit in city streets is not a very big problem, thanks to the widespread use of motorized vehicles. A hundred years from now, today's specific problems will have been replaced by other as yet undreamt of challenges. Three hundred years from now? Please.
By all means, let's do what we can to reduce economic inequality and use resources wisely instead of wastefully. I suggest greater reliance on markets for both objectives. Population growth is already slowing as people around the world get wealthier, and last I checked, was set to top out at nine or ten billion in the second half of the 21st century. But nobody has any idea what technologies will have been developed in a hundred years, much less three hundred. I don't, you don't, and those NASA-backed researchers don't—whatever their models may say.