A Natural Combination of Gravity and Electromagnetism
Author(s)
Richard A. Hutchin*
ABSTRACT
Riemannian geometry has proved itself to be a useful model of the gravitational phenomena in the universe, but generalizations of it to include other forces have so far not been successful. Here we explore an extension of Riemannian geometry using a complex Hermitian metric tensor. We find that the standard electromagnetic field naturally appears along with two additional fields.
Riemannian geometry has proved itself to be a useful model of the gravitational phenomena in the universe, but generalizations of it to include other forces have so far not been successful. Here we explore an extension of Riemannian geometry using a complex Hermitian metric tensor. We find that the standard electromagnetic field naturally appears along with two additional fields.
KEYWORDS
Complex Riemannian Geometry, Unified Field Theory, Unification of Electromagnetism and Gravity
Complex Riemannian Geometry, Unified Field Theory, Unification of Electromagnetism and Gravity
Cite this paper
Hutchin, R. (2015) A Natural Combination of Gravity and Electromagnetism. Journal of Modern Physics, 6, 749-757. doi: 10.4236/jmp.2015.66080.
Hutchin, R. (2015) A Natural Combination of Gravity and Electromagnetism. Journal of Modern Physics, 6, 749-757. doi: 10.4236/jmp.2015.66080.
References
[1] Weyl, H. (1918) Sitzungsberichte Preußische Akademie der Wissenschaften, 465. [2] Kaluza, T. (1921) Sitzungsberichte Preußische Akademie der Wissenschaften, 966-972. [3] Eddington, A.S. (1924) The Mathematical Theory of Relativity. 2nd Edition, Cambridge University Press, Cambridge. [4] Mie, G. (1912) Annals of Physics, 37, 511-534.
http://dx.doi.org/10.1002/andp.19123420306 [5] Reichenbacher, E. (1917) Annals of Physics, 52, 134-173.
http://dx.doi.org/10.1002/andp.19173570203 [6] Adler, R., Basin, M. and Schiffer, M. (1975) Introduction to General Relativity. McGraw Hill, New York. [7] Jaklevic, R.C., Lambe, J., Silver, A.H. and Mercereau, J.E. (1964) Physical Review Letters, 12, 159-160.
http://dx.doi.org/10.1103/PhysRevLett.12.159
[1] Weyl, H. (1918) Sitzungsberichte Preußische Akademie der Wissenschaften, 465. [2] Kaluza, T. (1921) Sitzungsberichte Preußische Akademie der Wissenschaften, 966-972. [3] Eddington, A.S. (1924) The Mathematical Theory of Relativity. 2nd Edition, Cambridge University Press, Cambridge. [4] Mie, G. (1912) Annals of Physics, 37, 511-534.
http://dx.doi.org/10.1002/andp.19123420306 [5] Reichenbacher, E. (1917) Annals of Physics, 52, 134-173.
http://dx.doi.org/10.1002/andp.19173570203 [6] Adler, R., Basin, M. and Schiffer, M. (1975) Introduction to General Relativity. McGraw Hill, New York. [7] Jaklevic, R.C., Lambe, J., Silver, A.H. and Mercereau, J.E. (1964) Physical Review Letters, 12, 159-160.
http://dx.doi.org/10.1103/PhysRevLett.12.159