On the Interpretation of the Einstein-Schrödinger Unified Field Theory

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Abstract
Vierbeins are used to analyze the Einstein‐Schrödinger unified field theory, in both its real nonsymmetric and complex Hermitian versions. It appears that the skew‐symmetric 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.

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