On the Interpretation of the Einstein-Schrodinger Unified Field Theory

Journal Article · Sun Jan 01 04:00:00 EST 1961 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1703732· OSTI ID:4027183

Sciama, D. W.

Vierbeins are used to analyze the Einstein-Schroedinger unified field theory, in both its real nonsymmetric and complex Hermitian versions. It appears that the skewsymmetric part of the real affine connection is related to spin rather than to electromagnetism. In its complex form the theory does appear to describe the electromagnetic field, since the vierbein analysis shows that gauge transformations arise in a natural way (the spin is then related to the skew- Hermitian part of the affine connection). The resulting identification of the electromagnetic field tensor implies that Einstein's choice of Lagrangian is physically unsatisfactory and an alternative Lagrangian is proposed. Although the electromagnetic field is thus geometrized, neither Lagrangian represents a unification of electromagnetism and gravitation.

• Research Organization: Cornell Univ., Ithaca, N.Y.
• Sponsoring Organization: USDOE
• NSA Number: NSA-15-024469
• OSTI ID: 4027183
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 4 Vol. 2; ISSN 0022-2488
• Publisher: American Institute of Physics (AIP)
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DIFFERENTIAL EQUATIONS
EINSTEIN-SCHROEDINGER THEORY
ELECTROMAGNETIC FIELDS
ELECTROMAGNETISM
FIELD THEORY
GRAVITATION
LAGRANGIAN
NUCLEAR MODELS
PHYSICS
SPIN
TENSORS
VECTORS