Aluminium is paramagnetic and relative movement of aluminium and a magnetic field will generate a repulsive force as you say but in this case there is no RELATIVE movement. The magnet and aluminium tube move together, I pointed this out in the video when talking about eddy currents.
Yes the ends of the magnet see the greatest flux concentration, that is what is required and I demonstrated that with my little screw driver test. If there were areas of concentration along its length a lack of linearity would ensue in the output signal, it would be position and velocity sensitive. I only want velocity sensitive.
There is no method in my madness, it just comes naturally.

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