Regardless of what "theory of value" one subscribes to, value is a social attribute. It is an ephemeral quality. A good or a service is worth what we are willing to pay for it irrespective of what has made us willing to pay that much.
Entropy is an objective physical characteristic. You may not be interested in entropy, but entropy is interested in you.
The transformation of material through work to add value also increases entropy. This is the opportunity cost of the the production process.
Exchange of commodities is reversible. The production process is not reversible.
When a commodity loses its value -- when it becomes waste -- entropy does not decrease! One cannot produce trees by subtracting labor from lumber.
Economic production, of value, is simultaneously destruction of potential alternative useful opportunities.
