New Approach to Unified Field Theory

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Abstract
A new approach to a unified field theory combining Einstein's gravitational equations and the Maxwell equations is developed using a geometry in which GL(4, C) replaces GL(4, R) as the group of the principal bundle. The resulting equations are the same as Einstein's in the case of empty space but differ from those he proposed for the combined gravitational and electromagnetic fields. Charge is shown to appear only at singularities, and a symmetric solution corresponding to the classical Schwarzschild metric is presented.

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