Rotary to linear actuators (and the reverse) have been around for centuries in the form of crankshafts, cam actuators etc. Graham can probably name the large variety invented to date. You can run the images on this page to get a sample. http://www.mekanizmalar.com/menu-reciprocation.htmlThe use of magnets eliminates the friction of wear surfaces at the typical points of contact, but due to twisting torsional forces they transfer increased friction to the sliding surfaces and side loading of the wheel bearings. Not sure if there is great advantage in this except in very specialized applications. If LUC and floor actually have a power gain, it can be very easily looped by a bit of low friction mechanical linkage from the output shaft to a crank on the driving wheel. This will be the proof of the power gain, a self runner. I admire their effort and tenacity.
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