A geometric foundation for a unified field theory |
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Authors: | Nathan Rosen Gerald E. Tauber |
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Affiliation: | (1) Department of Physics, Technion-Israel Institute of Technology, Haifa, Israel;(2) Department of Physics and Astronomy, Tel-Aviv University, Ramat Aviv, Israel |
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Abstract: | Generalizing the work of Einstein and Mayer, it is assumed that at each point of space-time there exists an N-dimensional linear vector space with N5. This space is decomposed into a four-dimensional tangent space and an (N - 4)-dimensional internal space. On the basis of geometric considerations, one arrives at a number of fields, the field equations being derived from a variational principle. Among the fields obtained there are the electromagnetic field, Yang-Mills gauge fields, and fields that can be interpreted as describing matter. As a simple example, the case N=6 is considered. |
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