Is a singularity just around the corner? What it takes to get explosive economic growth

Abstract
Economic growth is determined by the supply and demand of investment capital; technology determines the demand for capital; while human nature determines the supply. The supply curve has two distinct parts; giving the world economy two distinct modes. In the familiar slow growth mode; rates of return are limited by human discount rates. In the fast growth mode; investment is limited by the world's wealth. Historical trends suggest that we may transition to the fast mode in roughly another century and a half. Can some new technology switch us to the fast mode more quickly than this? Perhaps; but such a technology must greatly raise the rate of return for the world's expected worst investment project. It must thus be very broadly applicable; improving almost all forms of capital and investment. Furthermore; investment externalities must remain within certain limits.
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