Your definition of gravity as anti-energy relies on the fact that you associate certain properties with energy, the main one being that it pulls things apart. But if you look at particle colliders, they use regular energy to put things together. The truth is that regular energy takes many forms, some of which are destructive and some of which are constructive. Gravity, it turns out, is just a phenomenon that RESULTS from the presence of regular energy, at least according to relativity, which you appear not to believe.

Anyway, regardless of what you believe, your "proof" of anti-energy is not really valid. I've seen some of the great predictions that relativity has made and therefore tend to believe it, but I am always open to new ideas.