# On generalized electromagnetism and Dirac algebra

@article{Fryberger1989OnGE, title={On generalized electromagnetism and Dirac algebra}, author={David Fryberger}, journal={Foundations of Physics}, year={1989}, volume={19}, pages={125-159} }

Using a framework of Dirac algebra, the Clifford algebra appropriate for Minkowski space-time, the formulation of classical electromagnetism including both electric and magnetic charge is explored. Employing the two-potential approach of Cabibbo and Ferrari, a Lagrangian is obtained that is dyality invariant and from which it is possible to derive by Hamilton's principle both the symmetrized Maxwell's equations and the equations of motion for both electrically and magnetically charged particles…

## 14 Citations

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A model for composite elementary Standard Model (SM) particles based upon magnetically bound vorton pairs, we briefly introduce here, predicts the existence of a complete family of magnetically…

## References

SHOWING 1-10 OF 60 REFERENCES

### THE DYNAMICAL THEORY OF MAGNETIC MONOPOLES

- Physics
- 1952

The theory of electric charges and magnetic monopoles has been set up by Dirac by expressing the electromagnetic field tensor in terms of one four-potential and of the variables describing the…

### Electrodynamics in the General Relativity Theory.

- PhysicsProceedings of the National Academy of Sciences of the United States of America
- 1924

The restricted relativity theory resulted mathematically in the introduction of pseudo-euclidean four-dimensional space and the welding together of the electric and magnetic force vectors into the…

### Quantum electrodynamics with dirac monopoles

- Physics
- 1962

A quantized theory for the interactions of the electromagnetic field with magnetic monopoles and electrically charged particles is developed, without making use of potentials. Monopoles and charged…

### Electromagnetism and the holomorphic properties of spacetime

- Mathematics
- 1981

The Cauchy–Riemann equations of holomorphy are extended to fields in higher‐dimensional spaces in a framework of Clifford algebras. The equations of holomorphy in Minkowski spacetime turn out to be…

### Space-Time Approach to Non-Relativistic Quantum Mechanics

- Physics
- 1948

Non-relativistic quantum mechanics is formulated here in a different way. It is, however, mathematically equivalent to the familiar formulation. In quantum mechanics the probability of an event which…

### PROOF OF THE IMPOSSIBILITY OF A CLASSICAL ACTION PRINCIPLE FOR MAGNETIC MONOPOLES AND CHARGES WITHOUT SUBSIDIARY CONDITIONS

- Physics
- 1966

A proof is given that no action principle exists for the classical electromagnetic field when its sources are both charged particles and magnetic monopoles unless an extra condition, not derivable…