As more material weight leads to higher stress for a space elevator I have been asking myself if a kind of tower thats based on magnetic repulsion would not be an alternative. While I know that magnetic levitation can be hard to stabilize there are 2 scenarios I have in mind and which I am curious to what prevents their execution.
1) A series of disks is put on top of each other changing magnetic fields are induced in these disks(maybe the first disks induces a phase shifted version of its field in the disk above, or each disk generates the field idependant of each other, or all disks above the first are permanently magnetic and rotate due to the maganetic field created by the base) the disk repel each other, the tower extends.
2)In a coil/spool an alternating current is induced such that one curl of the coil is pi in terms of frequency, such curls should repel each other(if I not misconstrued something)and as the spool stretches frequency is adjusted.
Even if such a tower might not be stabilized indefinetly, this still could be used to lift an object a certain distance and accelerate it at the same time(when placed on top of the tower during the "powering up" process)
So where did I go awry? Where are the problems an expert would point out?