A sign error in the Minkowski space-time plot and its consequences
General Physics
2009-09-01 v1
Abstract
A sign error in an angle while drawing the original Minkowski plot has persisted for a century in text books and the pedagogical literature. When it is corrected, the `length contraction' effect derived from the geometry of the plot disappears. It is also shown how the `relativity of simultaneity' effect that has been derived from the plot results from a lack of correspondence between certain geometrical projections on the plot and the properties of the physical system --two spatially separated and synchronised clocks in a common inertial frame-- that they are purported to describe.
Cite
@article{arxiv.0805.3640,
title = {A sign error in the Minkowski space-time plot and its consequences},
author = {J. H. Field},
journal= {arXiv preprint arXiv:0805.3640},
year = {2009}
}
Comments
25 pages, 13 figures