The Value of the Cosmological Constant in a Unified Field Theory with Enlarged Transformation Group

Abstract

The geometrical structure of a real four-dimensional space-time has been extended via the Conservation group with basic field variable being the orthonormal tetrad. Field equations were obtained from a variational principle which is invariant under the conservation group. Recently, symmetric solutions of the field equations have been developed. In this note, the free-field solution is investigated in terms of the value of the scalar curvature. The resulting asymptotic value is approximately the negative of the currently accepted value of $\Lambda$, i.e. $R\approx - 10^{-120}$. This may add further support to the conclusion that the theory developed by Pandres unifies the fields.