Economics is not related much to physics. On the contrary, it's pretty much metaphysics as its quant is money, which is socially constructed.
It is fallacious to assume that economic growth will lead to growth in energy use. Quality, not only quantity generates value. In other words, if a baker keeps baking better-tasting bread, and a piano maker keeps making better-sounding pianos, the economy will grow. Improving quality does not necessarily need extra energy.