As far as I know,
- Electric and magnetic field inside a perfect conductor plane are zero (it can be proved by combination of Ohm's law and Faraday's law of induction).
- When there is a magnetic field, eddy currents must exist inside a superconductor to make the net magnetic field zero inside the plane.
- The eddy current flows in nonlinear paths so a force must be applied to the charges to make this movement.
- Lorentz force formula includes all possible forces to an electric charge ($F=qE+qvB$)
- In our case, $E$ and $B$ are zero, so the Lorentz force must be zero.
So which force is applied to the electric charges and causes their movement (eddy current) in a perfect conductor plane?