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You all know those new trains, they work on the threory of magnetic levitation, and, because there is no friction, go really really fast. There are working prototypes in Germany and Japan. So I say, take that same principal to skyscrapers.
There would be no need for cables, and in an emergency (there would need to be an electric current all the time, there could be backup power in case of power cuts) you could have either a cable, or traditional emergency brakes. They could go real fast, they could even be fitted with chairs with seat belts. Also voice activation would be a nice touch, I just want those cool lifts from star trek!