Recently, he has proposed a unified model of Electromagnetism and Gravitation [1] in the framework of General Geometry (formulated by him in [2]). It reproduces Electromagnetism and Gravitation and predicts that electromagnetic field is a source for gravitational field. We hope that this prediction will be confirmed by experiments. This theory is formulated in four dimensional spacetime and does not contain additional fields.
A new geometry called General Geometry including Riemannian geometry and geometry underlying Electromagnetism, as special cases is constructed in the second paper. He has shown that Electromagnetism can be reproduced exactly from a new geometry called Geometry of Electromagnetism. Maxwell equation and action functional for electromagnetic field are derived from geometric characteristics of this geometry. The equation for geodesics in this geometry coincides exactly with equation of motion for a particle interacting with electromagnetic field. It is also proven that electromagnetism cannot be geometrized in the framework of Riemannian geometry.
In paper [3], relations between quantities defining geometry and quantities defining the length of a curve in geometries underlying Electromagnetism and unified model of Electromagnetism and Gravitation are found and it is shown that the length of a vector changes along a curve in these geometries.
For history of solved problems see HISTORY
RECENT PUBLICATIONS
[1] S. Shahverdiyev, Unification of Electromagnetism and Gravitation
MPS:Pure mathematics/0308016 CERN/EXT-2002-050,
[2] S. Shahverdiyev, General Geometry and Geometry of Electromagnetism
Focus on Mathematical Physics Research P.169-176 (2004), Nova Science Publishing Inc. (New York),
MPS:Pure mathematics/0309002 hep-th/0205224,
[3] S. Shahverdiyev, On Special Cases of General Geometry
MPS:Pure mathematics/0308003 CERN/EXT-2002-051,
NEW PAPERS
S. Shahverdiyev, Comments on ``Finsler Geometry and Relativistic Field Theory"
physics/0412129 MPS:Pure mathematics/0312005 CERN/EXT-2003-080,
S. Shahverdiyev, Unification of Electromagnetism and Gravitation in the Framework of General Geometry, (Talk presented at the International Workshop on Particles and Fields --3, September 13-17, 2004, Baky, Azerbaijan)
physics/0507034
Page is created on July 19, 2002
Last updated on July 22, 2005