She doesn't want me back, but my heart wants her back?

Because it beats vigorously and painfully in revolt against us separating. I try to negotiate and rationalize, what If I could become spiritual like the kind of man she wants, what if we could make it work? Yes, we're breaking up b/c my world view is more Richard Dawkin's like and hers is more Deepak Chopra like. I wonder if I could still respect science and adopt some form of spirituality that will satisfy her and keep her happy in our relationship. My heart beats in pain, not wanting to let her go. I don't know what to do.