Earlier quoted context omitted.
The earth doesn't have a "carrying capacity" or a "maximum population". The earth has resources that are used more or less sustainably at different times and in different places. If we all still lived like hunter gatherers we would have run out of resources and become extinct thousands of years ago. Luckily we've had social, economic, and technological development. As soon as anyone frames sustainability challenges i…
"Ecologists define carrying capacity as the maximal population size of a given species that an area can support without reducing its ability to support the same species in the future" http://www.dieoff.org/page112.htm In the interest of (scientific) discourse, it is generally unhelpful to redefine or ignore generic definitions. Are you asserting that the earth doesn't support any species, or that is perfectly possibl…
In answer to your googolplex question - I think it's safer to bet on the technology developing to support such a population than against it. (Though I think we'll either be extinct or an interstellar species before then.)