Unified theory of gravitation and electromagnetism, based on the conformal group SO 4, 2

Details Unified theory of gravitation and electromagnetism, based on the conformal group SO 4, 2 Unified theory of gravitation and electromagnetism, based on the conformal group SO 4, 2

Oct 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ncimb..41..397p&link_type=abstract

Nuovo Cimento, Sezione B, vol. 41 B, Oct. 11, 1977, p. 397-427. Research supported by the Boris Kidric Fund and Ministero della

Astronomy and Astrophysics

Astrophysics

7

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

Scientific paper

A 'minimal' change in the four-dimensional theory of relativity is performed by extending the theory to six-dimensional conformal space (flat or curved) with a given metric tensor for which all components of the 6-vector are considered as independent physical degrees of freedom. All the basic equations of both special and general relativity in flat or curved six-dimensional conformal space are found to have the same form as the corresponding equations in four-dimensional 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 four-dimensional theory if k = 1 and that geodesics in curved six-dimensional 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 six-dimensional conformal space constitute the field equations for the metric tensor; these equations describe both gravitational and electromagnetic fields simultaneously.

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