Wave-function in geometric algebra, rotors and electromagnetism

I am confused by the appearance of the electromagnetism bivector in the formulation of the wave-function in space-time algebra.

David Hestenes suggests that the wave-function can be written as

$$
psi =sqrt{rho}e^{Ib/2}e^{-F/2}
$$

where $F$ is a bi-vector. Its exponential is a rotor.

But, a bi-vector in space-time algebra is the electromagnetic field, and the Maxwell equations are obtained by $nabla F=0$.

Does the wavefunction $psi$ refers to the electromagnetic field, or is it just a coincidence that bi-vectors are used both for electromagnetism and rotors?

Is there a link between the rotor $e^{-F/2}$ and electromagnetism $nabla F=0$?