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I don't know about "physical manifestation of dividing by zero" since I can't wrap my head around that. But from what I *do* know, here is what I think: Haruhi represents to the Integrated Sentient Data Entity evidence that there is a space "outside" the the universe it inhabits that contains energy that Haruhi is able to tap into. Her ability to "create things out of nothing" could be the ability to shunt energy and information from outside in. She's a conduit into an outside arena that the ISDE doesn't inhabit or control. If I were the ISDE, I'd definitely be interested in potentially securing for myself a position in this outside arena.
Also, it may be a cop-out , but Mr. Tanigawa could make the universe we live in right now to be the one the ISDE is trying to expand into. =P A conclusion to the Haruhi series similar to this is something that I could be satisfied with.
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