Regression evidence and Kapitza's demographic projections

Sergey Kapitza in his book "Global population blow-up and after" claims that the world population has been and continues to be growing at a more than exponential pace. This is a challanging hypothesis since it is unplausible that even exponential growth can be sustained over a long period of time by any natural or technical process. It is the purpose of this note to question the hypothesis and, ideally, trigger its discussion.