Foundations of Physics 14 (2):171-186 (1984)

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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 N≥5. 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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DOI 10.1007/BF00729973
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Vector-Spinor Space and Field Equations.Nathan Rosen & Gerald E. Tauber - 1987 - Foundations of Physics 17 (1):63-99.

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