Superpower India: Following the sine curve?

In my earlier article "India the Superpower: Extraordinary or usual?" I proposed that the rise of and fall of any empire, nation or culture follows an sinusoidal wave. In this article I have plotted the changes in the modern state of India on the economic prosperity and development stage dimensions. A flourishing economy in the seventeenth century reduced to an under developed and poor country during the colonist period and the free and shining India today saw all the sinusoidal phases plotted on the curve below. By the current trends and patterns it is estimated that India will become a superpower by 2040.