Gravitational Space Dilation
Abstract
We point out that, if one accepts the view that the standard second on an atomic clock is dilated at low gravitational potential (ordinary gravitational time dilation), then the standard meter must also be dilated at low gravitational potential and by the same factor (gravitational space dilation). These effects may be viewed as distortions of the time and length standards by the gravitational field, and measurements made with these distorted standards can be "corrected" by means of a conformal transformation applied to the usual spacetime metric of general relativity. The surprising feature of this single-observer picture is a substantial simplification of interpretation and formalism for numerous phenomena in a static gravitational field as compared to the conventional "many-observer" interpretation of general relativity.
Keywords
Cite
@article{arxiv.0902.2811,
title = {Gravitational Space Dilation},
author = {Richard J. Cook},
journal= {arXiv preprint arXiv:0902.2811},
year = {2009}
}
Comments
The author would like comments, pro or con, from anyone who finds this work interesting. I would also appreciate references to works that employ a change of measurement standards to give a new perspective on relativistic results. 20 pages, 6 figures