New gauge fields from extension of parallel transport of vector spaces to underlying scalar fields

@inproceedings{Benioff2011NewGF,
  title={New gauge fields from extension of parallel transport of vector spaces to underlying scalar fields},
  author={Paul Benioff},
  booktitle={Defense + Commercial Sensing},
  year={2011}
}
  • P. Benioff
  • Published in Defense + Commercial Sensing 1 May 2011
  • Physics
Gauge theories can be described by assigning a vector space ¯V (x) to each space time point x. A common set of complex numbers, ¯ C, is usually assumed to be the set of scalars for all the ¯ Vx. This is expanded here to assign a separate set of scalars, ¯ Cx, to ¯ Vx. The freedom of choice of bases, expressed by the action of a gauge group operator on the ¯Vx, is expanded here to include the freedom of choice of scale factors, cy, x, as elements of GL(1, C) that relate ¯ Cy to ¯ Cx. A gauge… 

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