Yes I understand that the absence of life is death. I understand why anything else would be logically impossible. But I'm not asking why death is the inevitable consequence of separation from life. I'm asking why somebody's separation from life is the inevitable consequence of your sins. That is not logically necessary.
The inevitable consequences of your sins does not logically have to be that you or someone else must be separated from life. That's absurd. If God didn't want for anybody to be separated from life because you sinned, he could have easily made it so.
If he is being forced to punishing himself for what you did, then he not all-powerful. If he is choosing to unnecessarily punish himself for what you did, then he is an insane masochist.