A Natural Combination of Gravity and Electromagnetism ()
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.
Share and Cite:
Hutchin, R. (2015) A Natural Combination of Gravity and Electromagnetism.
Journal of Modern Physics,
6, 749-757. doi:
10.4236/jmp.2015.66080.
Conflicts of Interest
The authors declare no conflicts of interest.
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
|