A plane is standing on runway that can move (some sort of band conveyor). The plane moves in one direction, while the conveyor moves in the opposite direction. This conveyor has a control system that tracks the plane speed and tunes the speed of the conveyor to be exactly the same (but in opposite direction).
The question: Will the plane takeoff?
Absolutely not. If the conveyer and aircraft speed is equal then it will be stationary.
If it is stationary then it cannot generate the lift needed to rise.
Now let's not be silly here ~ No airport has yet managed to get moving "walkways" and their handrails to syncronise ie move at the same speed ~ how the hell does anyone think they are going to get an aircraft and conveyor to move in opposite directions at the same speed?
It's like .... er .... patting your head with one hand and rubbing your belly in a circular motion with the other hand at the same time ~ just not do-able.
I am ex RAF you know ..... we know what is not possible (most things actually)