Derivation of the General Case Sagnac Result using Non-time-orthogonal Analysis
General Relativity and Quantum Cosmology
2009-11-07 v2
Abstract
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.
Cite
@article{arxiv.gr-qc/0206033,
title = {Derivation of the General Case Sagnac Result using Non-time-orthogonal Analysis},
author = {Robert D. Klauber},
journal= {arXiv preprint arXiv:gr-qc/0206033},
year = {2009}
}
Comments
revised to include changes from pre-publication review; 11 pages including 3 figures, 4 appendices and references