Can Air Conditioners Power Jetpacks?

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nst.john
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I saw a working jetpack shown on a tv show on the science channel and it got me thinking how exactly we can make the perfect jetpack. I came up with an idea. AIR CONDITIONERS! Bear with me, just as how a tornado is a vortex of cold and warm winds and can have all that speed and strength, we can make our own vortex using air conditioner-like power sources, cooling the air and then coming out of a hole making a vortex, like smoke makes a vortex when hit out of a drum.
 
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The vortex will be shooting down first pushing you off the ground, then colliding with air molecules to keep you rising.
 
I'm not sure, but I think just shooting exhaust straight down is more efficient than trying to make a vortex. You're using up a lot of energy to make this vortex only to have most of its energy be in the direction of rotation and not pushing you anywhere.
 
That makes more sense.