Re: I miss my wife. I need her back
Dude, you need to understand a harsh reality. I had to learn it myself. When a woman tells you they don't love you anymore, they move out, and they don't speak to you---- it's virtually impossible to change their minds.
Anything you do positive toward them, they will see as manipulation to get them back. Isn't it?
You can go home, but if she is not in love with you, it will serve no purpose. You'd be better off staying where you are and figuring a way to detach.
From what it sounds like, she's been having at least emotional affairs with other men. You said you had an affair and said why. No, it wasn't because you were feeling xyz, it's because it was fun banging another woman.
Whatever your wife has done, your affair gave her an excuse. It also was the death knell of your marriage. I don't know if she'll ever want to come back, but I do know you'd be better off learning to be a better man, and much easier to get the love of another woman than to get it back from your wife.
There's just no way to fix this with them when they make up their mind and stop loving you. It took a long time to get to this point. It's not going to change in her mind overnight, or likely ever.
My advice. Detach and move on.
That's not what you want to hear. But it's the thing you should do. That would be the best chance for you period. Of you go home and badger her, it will push her away, if she sees you changing your life, she might (unlikely) reconsider and reach out to you.