Unified theory of gravitation and electromagnetism, based on the conformal group SO 4, 2
Abstract
A 'minimal' change in the fourdimensional theory of relativity is performed by extending the theory to sixdimensional conformal space (flat or curved) with a given metric tensor for which all components of the 6vector are considered as independent physical degrees of freedom. All the basic equations of both special and general relativity in flat or curved sixdimensional conformal space are found to have the same form as the corresponding equations in fourdimensional space. A special feature of the extended theory (referred to as 'conformal relativity') is the introduction of a scalar degree of freedom (k), which may differ from unity and may vary along the world line of a particle. It is shown that the conformal theory of relativity reduces to the usual fourdimensional theory if k = 1 and that geodesics in curved sixdimensional conformal space correspond to the motion of electrically charged test particles in a gravitational field, an electromagnetic field, or both. It is noted that the Einstein equations generalized to sixdimensional conformal space constitute the field equations for the metric tensor; these equations describe both gravitational and electromagnetic fields simultaneously.
 Publication:

Nuovo Cimento B Serie
 Pub Date:
 October 1977
 DOI:
 10.1007/BF02740893
 Bibcode:
 1977NCimB..41..397P
 Keywords:

 Conformal Mapping;
 Electromagnetic Fields;
 Field Theory (Physics);
 Gravitation Theory;
 Relativity;
 Astrophysics;
 Einstein Equations;
 Energy Conservation;
 Equations Of Motion;
 Light Speed;
 Momentum Theory;
 Scale (Ratio);
 Stretching;
 Astrophysics