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The Impossibility of Changing the Energy of a System
The laws of physics have a fundamental limitation to how accurately this task can be realized with systems in physical reality. For example, changing the energy on object from certain value to another value is an impossible task because of conservation of energy. Another task could be lifting a weight in a gravitational field. And other tasks could be creating tunglement out of annoying tunglement and so on. So the task is just specifying a positive, a positive transformation. And then this transformation can either be possible or impossible. And there are no things in between.