  Starting with the quaternionic Minkowski space-time and its four-vector
representation, a rotational analogue of the quaternionic Dirac equation in the
electromagnetic field is developed, which includes not only the energy
solutions but also the angular momentum solutions for rotating Dirac fermions.
The striking feature of the quaternionic approach is that it depicts a unified
representation of energy-momentum in a single framework as the space-time.
Furthermore, we establish the generalized Schrodinger-Pauli-like equation
associated with generalized electric and magnetic dipole energies that
corresponding to their dipole moments. As such, the present analysis deals with
the invariant behavior of the extended quaternionic rotational Dirac equation
under Lorentz, gauge, duality, and CPT invariance.
