Well... aside from the question if this was possible and there for feasible... I was puzzled by the reactions of all the surrounding characters. Seriously, a woman calls, tells you how to do your job and just her telling you, no there are no cameras makes you trust her?? What kind of cop is that / does that? Yeah, right, then you go and try to take her in and while she seems to turn everyone unconscious, you go: well, it's a hot chick and she does interesting stuff, why not accompany her? Oh, well, yes, please, drive my car, and I have no reason to protest any further while you wreck about two dozen cars and injure who knows how many people in the process.
And the professor? Suuure, while you initially suspect Lucy's call to be a prank, just her wiggling some technical devices turns you into a believer?

Though I don't really see the religious component of which some reviewers were speaking. But the philosophical potential suffers greatly under those poorly developed supporting characters... and being force feed all those bits and pieces ... I mean, all was well, as long as Lucy shut up - her explaining was just too much, while the end felt more as if it was just about visual effects.

PS: the trakt summary is just hilarious. So minimalistic, ignoring the main points and yet right on the spot.