There is no particular correlation between value creation and energy consumption. Your theory is likely unique. I could burn a log, releasing a lot of energy, and no value would be created. I could carve a figure into a log and create value.
Take away all energy from this world. You get 0 value creation. Everything is dead nothing can move.
That’s the correlation. I don’t understand why you’re using big words like correlation as if this is something that needs to be studied. It’s common sense imo.