Wave-particle duality is a
familiar concept in the theories of the fundamental processes. We have, for
example, electromagnetic waves with the photon as the corresponding particle,
gravitational waves with the graviton as the corresponding particle, and Dirac
waves with the electron as the corresponding particle. All these theories are
stand-alone theories having nothing in common. The outstanding problem is a
unified theory of particles and fields. In this paper, we discuss a unified geometrical theory of
fields and particles.
Cite this paper
A. Nduka, "The Unified Geometrical Theory of Fields and Particles," Applied Mathematics
, Vol. 5 No. 3, 2014, pp. 347-351. doi: 10.4236/am.2014.53036
 A. Nduka, “The Geometrical Theory of Science,” Applied Mathematics, Vol. 3, No. 11, 2012, pp. 1598-1600. http://dx.doi.org/10.4236/am.2012.311220
 V. B. Berestetskii, E. M. Lifshitz and L. P. Pithaevskii, “Relativistic Quantum Theory,” Pergamon Press, Oxford, 1971.
 R. P. Feynman and A.R. Hibbs, “Quantum Mechanics and Path Integrals,” Mcgraw-Hill Book Company, New York, 1964.
 J. J. Sakurai, “Advanced Quantum Mechanics,” Addison-Wesley Publishing Company, Reading, 1967.
 L. D. Landau and E. M. Lifshitz, “The Classical Theory of Fields,” Pergamon Press, Oxford, 1971.
 A. Nduka, “The Neutrino Mass,” Applied Mathematics, Vol. 4, No. 2, 2013, pp. 310-131.
 A. Nduka, “The Structure of Atoms, Nuclei, and Molecules,” AJP, Vol. 5, 2013, to appear.