As far as I know:

1. electric and magnetic field inside a perfect conductor plane is zero (it can be proved by combination of ohm's law and faraday's law of induction).
2. When there is a magnetic field, eddy current must exist inside a superconductor to make the net magnetic field zero inside the plane
3. The eddy current flows in nonlinear paths so a force must be applied to the charges to make this movement.
4. Lorentz force formula includes all possible forces to an electric charge (F=qE+qvB)
5. 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?

As far as I know,

1. 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).
2. When there is a magnetic field, eddy currents must exist inside a superconductor to make the net magnetic field zero inside the plane.
3. The eddy current flows in nonlinear paths so a force must be applied to the charges to make this movement.
4. Lorentz force formula includes all possible forces to an electric charge ($F=qE+qvB$)
5. 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?