OK, I want to say a few things before I start. 1.) I have actually read some of that manga, so I know exactly where you got the idea and what the goal is. 2.) I love the idea itself.
Which is why this hurts: I'd put this at tier 4 or low 3. It isn't exceptionally flexible, it's low power (if I was judging off power alone, I'd slap it in low T4 or high T5), and I really can't see a ton of places I would use it personally; he's basically a Warlock of another color. Barriers are nice, but he needs to be pulling more of them out than 20 big ones a day. Heck, in the manga he threw tons of these things all over the place, even slept in one! I'd make the barriers 5-foot cubes (one square), just for simplicity's sake, and make that your at will freebie, then work your way up. The low low number and sad, tiny size is just the start, though. Next is the damage formula: 1d6 per 10 cubic foot per four levels? That's only 5d6 at 20th level, if I even read the strange formula right. So bigger fields do more damage when they collapse? That means you can do up to 50d6 at 20th level (once again, if I actually understood the formula). But he can only do that 5 times a day tops. I'd make the damage more, especially if you look at the manga, where the barrier kills ghosts and spirits in one hit. Following that as a guideline, this thing should have equivalent power at some point.
You have an interesting start to barrier abilities, but only 10? You master all of them by the end? This guy needs way more abilities to choose from, and I'd say more abilities gained as well (one per level if you're aiming for the Sorcerer in power).
Sadly, I have to agree that this guy is mostly useless at 1st level, and indeed, until he can capture whole creatures inside barriers, really, at least from an offensive perspective. From a defensive perspective...OK, he's
less useless at low levels, but I'd still turn to a Cleric or Wizard for a buff spell over this guy, unless he's making a a bunch of one-foot cubes attuned to my vital bits before battle (I could probably convince a GM to grant me partial cover and RP EXP for creativity at least once for it, anyways).
My biggest suggestion is to give him minor spellcasting; go through some of the books and pull anything that looks like a barrier spell out and give him a divine spell list.
Also, Blank State needs more uses. Badly. This is the best ability on his list, he should get
at least as many uses per day as a Barbarian gets uses of Rage.
He has a lot of potential, and is a very flavorful class, but I don't see him as very useful outside of gestalt gaming. Sorry my review is so negative. Hope it helps anyways.