Your examples disagree with your initial statement actually. How did you get the log? How did you carve the figure? Both of these require energy consumption, as we aren't at the stage where we are magically planting trees and teleporting them into our workspaces for carving/burning.

It’s not a theory bro. It’s fact.

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.

That energy accumulates as low entropy. The earth is a continuous low entropy reservoir soaking up the energy and continuously generating more complexity via evolution and also via economic progress.

That’s how the accounting works out.

The reality is energy is neither created or destroyed. It just reaches a non workable state. In terms of balance of physical energy we technically receive the energy then the energy radiates off the earth. We don’t keep the energy.

What we do keep is the low entropy. The energy comes forth from the sun in a concentrated beam. We extract the low entropy from the beam into complexity. Over millions of years this complexity accumulates making earth a reservoir of increasing complexity and lowering entropy. The beam of energy from the sun gets all of the low entropy extracted and radiates into space in a non useable form.