Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivation of the General Case Sagnac Result using Non-time-orthogonal
  Analysis   The experimentally determined Sagnac fringe shift dependency on angular
velocity and enclosed area is derived from the rotating reference frame using
non-time-orthogonal tensor analysis. The relationship for the most general
case, in which the area enclosed is not circular and does not have the axis of
rotation passing through its center, is determined. It is submitted that this
quantitative result, along with a related thought experiment, can not be found
using the conventional approach of local co-moving Lorentz frames.

35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph