Knowledge: Power::Information: Energy

Ideal heat engine- the knowledge of power.

Still considering the relationship between the increase in energy use which began with the industrial revolution and the increase in knowledge which has followed. Does power create information? What is the relationship with the rise of capitalism/ political economy? Would a shift to a sustainable/ de-mineralised economy lead to a loss of knowledge? Is there a connection to entropy as loss of information?

To give a practical example: progress in particle physics is related to the use of large amounts of energy in particle accelerators. Ina  de-mineralised/ de-carbonised economy, would there still be enough energy available to power such devices?If not, would that mean an end to progress in that branch of physics?  

Is modern science a product of industrialisation/ mineralisation? Do less economically developed countries produce less scientific knowledge? Does the rate of progress decline during a recession?

More questions than answers here. Finding the right question to ask is the difficult part.