[baq]

limits of physics are well known and not about to change in 2, 200 or 20000 years. the current growth trajectory puts us at boiling oceans in about half of a millennium, assuming economic growth is correlated with energy consumption. remember all energy eventually ends up as heat and Earth can't radiate heat away fast enough if we grow too much.

technology also won't save us - we are within 2x of theoretical limits in plenty of technologies, e.g. internal combustion engines for cars, and large turbines for electricity generation are way closer.