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I think Touma's power is channeled through his right hand, not that it exists in his right hand.
Cutting off his right arm gives it a larger surface area and thus the ability to conduct his Imagine Breaker even more (i.e AOE effect around the body part), or else he would just have been slaughtered by the blades already before he even uses psychological warfare.
Regarding Aurelous, I thought only Suzumiya Haruhi had that kind of power.
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