Look up the rocket equation. You simply cannot generate anything remotely close to 1g of acceleration with an accelerator-based ion engine like this.
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I'm a condensed matter physicist. This claim is weak beyond belief, and it pains me to no end to see it get picked up by slashdot and other sites (nextbigfuture.com). To demonstrate superconductivity, you need to show (a) zero resistance over some range of current; (b) the Meissner effect (expulsion of magnetic flux, seen via magnetometry); (c) a characteristic feature of a phase transition in the heat capacity. This paper shows exactly none of these things. The noise level in the resistance measurements is so poor, you could not tell the difference between zero and 0.01 Ohms (which would be totally believable considering there is already a metal film in the system). This paper in its present form is not fit for publication. Seriously, you don't have to be an expert at this stuff to see that this is weak - just look at the noise level in the current-voltage curves and use some common sense!