OJM  Vol.1 No.2 , August 2011
A Unified Equation of Interactions
Abstract: The aim of this study is to combine four fundamental forces in a single equation. Dirac equation is written by putting the Yukawa potential as a representation of the strong and gravitational forces. The ordinary terms seen in the Dirac Equation are treated as the representations of the electromagnetic forces. The Lagrangian of the weak local interaction of the charged particles is converted to the energy representation according to the virial theorem and is put in the equation. Thus four fundamental forces are combined in a unique equation.
Cite this paper: nullH. Arslan, "A Unified Equation of Interactions," Open Journal of Microphysics, Vol. 1 No. 2, 2011, pp. 28-31. doi: 10.4236/ojm.2011.12005.

[1]   Ali F. Abu Taha, “Universal Gravitation and Formulas of A Unified Interactions,” 1993, p. 54. (

[2]   J. K. Perring and T. H. R. Skyrme, “A Model Unified Field Equation,” Nuclear Physics, Vol. 31, No. , 1962, pp. 550-555. doi:10.1016/0029-5582(62)90774-5

[3]   Pierre-Henri Chavanis, “Kinetic Equations for Systems With Long-Range Interactions: A Unified Description,” 2010, p. 37. arXiv: 1002.3268v1

[4]   Tran Hu’u Phat, “Unified Space-Time For Interactions of Elementary Particles,” Acta Physica Polonica, Vol. B4, No. 2, 1973, pp. 193-209.

[5]   N. Wu, “Unified Theory of Fundamental Interactions,” , 2003, p. 23. arXiv.hep-th/0304193v1

[6]   M. Ferraris and J. Kijowski, “Unified Geometric Theory of Electromagnetic and Gravitational Interactions,” General Relativity and Gravitation, Vol. 14, No. 1, 1982, pp. 37-47.

[7]   J. B. Bjorken and S. D. Drell, “Relativistic Quantum Mechanics,” McGraw-Hill, New York, 1964.

[8]   J. J. Sakurai, “Advanced Quantum Mechanics,” Addison-Wesley, Menlopark, California, 1967.

[9]   P. Wagener, “A Unified Theory of Interaction: Gravitation, Electrodynamics and the Strong Force,” Pogress in Physics, Vol. 1, No. 33, 2009, pp. 33-35.

[10]   W. Greiner, S. Schramm, E. Stein, Quantum Chromodynamics.

[11]   A. I. Akhiezer and S. V. Peletminsky, Fields and Fundamental Interactions.

[12]   M. Baldo Ceolin, Proceedings of the International School of Physics Enrico Fermi Course LXX.

[13]   M. Brack, “Virial Theorems for Relativistic Spin-1/2 and Spin-0 Particles,” Physical Review D, Vol. 27, No. 8, 1983, pp. 1950-1953.

[14]   F Rosicky and F Mark, “The Relativistic Virial Theorem by the Elimination Method and Nonrelativistic Approximations to This Theorem,” Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 8, No. 16, 1975, pp. 2581-2587.

[15]   S. T. Thornton and J. B. Marion, “Classical Dynamics of Particles and Systems,” In: Chris Hall, Ed., Thomson Learning, Belmont, 2004.

[16]   Herbert Goldstein, “Classical Mechanics, Addison- Wesley Publishing Company, Inc. Reading, Massa- chusetts, 1959, pp. 69-71.