[Richard777 (OP)]

The Dirac equation contains operators and a wave function.
If the wave function is removed, the equation reduces to different energies.
The energies may be associated with forces.
The forces are reciprocal.
Can the Dirac equation be simply derived from reciprocal forces?   

[jeffreyH]

No. This equation describes the relativistic motion of fermions. It is not a true relativistic version of the Schrödinger equation. What would be the probability density can be negative and so represents the charge density instead. It is a four component equation that expanded on the one component version of Schrödinger and the two component version of Pauli.

So I am afraid that what you say doesn't make sense.

[jeffreyH]

One more thing. Dirac was heavily involved in the development of Heisenberg's matrix mechanics. This allowed him to see both the particle and wave view of quantum mechanics. This must have been a big help in developing this equation.

Study the history of physics Richard.