^ And when Allen broadcast said essence to the Monitor realm, he was already in Limbo. And Limbo is essentially the 3.9 dimension -- it's as close as you can get to the Monitor realm without being IN the Monitor realm.
One of the better parts about that particular showing is that Allen had evolved to a point where conventional conflict could no longer affect him:
http://i.imgur.com/Ev6SKBj.jpg
"I am the endgame of the idea that spawned the likes of you, Ultraman. I am BEYOND conflict."
And in Pax Americana we learned of Allen's higher-dimensional status/perceptions:
http://i.imgur.com/JC4Nd10.jpg
"...I caught sight of a massless time-symmetrical Boson. A Mobius Loop curving through EIGHT dimensions [...] This is how a 2-Dimensional continuum looks to you. Imagine how your 3-D World appears to me."
Furthermore, Allen has seen the "Ultimate Algorithm" -- the pattern of existence that explains everything:
http://i.imgur.com/9ejnuSh.jpg
He also perceives all time simultaneously:
http://i.imgur.com/Xw72tf9.jpg
...And the latter two feats occurred when Allen was still heavily medicated.
