You lost me at "locally". Of course if you take a closed system A and make it a subsistem of some bigger closed system B you are going to be able to diminish en

You lost me at "locally". Of course if you take a closed system A and make it a subsistem of some bigger closed system B you are going to be able to diminish entropy at A by increasing entropy even further at (B + !A). My grandmother's freezer was doing this 50 years ago, and I am pretty sure the engineers who designed it did not think their work was fundamental research in any way or form.