This is a long one.
[list]
[*]Breaker: You're probably going to have to explain this better, what I'm gathering is that he cannot be disarmed. Otherwise I have no idea what this does.[/*]

[*]Finisher: This seems pretty reasonable, but you should specify exactly what he can do with this. List off how many ways it can be properly used. Also a temperature and how many lbs of TNT it is comprable to.[/*]

[*]General: It's fine, this is reasonable. I suppose you should probably buff it after this however.[/*]

[*]Dimension cut: No. Now let me explain why not. It's incredibly powerful, far too powerful. It has an absolute in it- "He can also cut through any object or entity despite how immune to conventional attacks they might be." That is far too certain. You're saying that he can cut through anything, period. This is far too powerful to be allowed. Either tone down the power, make it a move that charges, or remove it completely.[/*]

[*]Ascension: This is remarkably unspecific, is this just saying that he becomes invincible and all powerful after he dies? If yes: Then this can't be allowed. If no: Explain this further.[/*]

[*]The Sword: As long as it's not a passive absorption of energy, this should be fine. Just saying "I absorbed that." would not be allowed. You would have to use this as a counter to an energy based attack specifically, it is not an understood immunity. About the projection. It should have a list of ways it can be projected, and is this based off of the power of the attack it absorbed or the power he himself can put out?[/*][/list]