Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Principal fiber bundle description of number scaling for scalars and
  vectors: Application to gauge theory   The purpose of this paper is to put the description of number scaling and its
effects on physics and geometry on a firmer foundation, and to make it more
understandable. A main point is that two different concepts, number and number
value are combined in the usual representations of number structures. This is
valid as long as just one structure of each number type is being considered. It
is not valid when different structures of each number type are being
considered. Elements of base sets of number structures, considered by
themselves, have no meaning. They acquire meaning or value as elements of a
number structure. Fiber bundles over a space or space time manifold, M, are
described. The fiber consists of a collection of many real or complex number
structures and vector space structures. The structures are parameterized by a
real or complex scaling factor, s. A vector space at a fiber level, s, has, as
scalars, real or complex number structures at the same level. Connections are
described that relate scalar and vector space structures at both neighbor M
locations and at neighbor scaling levels. Scalar and vector structure valued
fields are described and covariant derivatives of these fields are obtained.
Two complex vector fields, each with one real and one imaginary field, appear,
with one complex field associated with positions in $M$ and the other with
position dependent scaling factors. A derivation of the covariant derivative
for scalar and vector valued fields gives the same vector fields. The
derivation shows that the complex vector field associated with scaling fiber
levels is the gradient of a complex scalar field. Use of these results in gauge
theory shows that the imaginary part of the vector field associated with M
positions acts like the electromagnetic field. The physical relevance of the
other three fields, if any, is not known.

10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph