# 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} }

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…

## One Citation

### Effects on quantum physics of the local availability of mathematics and space time dependent scaling factors for number systems

- MathematicsArXiv
- 2011

The work is based on two premises: local availability of mathematics to an observer at any space time location, and the observation that number systems, as structures satisfying axioms for the number…

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