A force proportional to velocity squared derived from spacetime algebra
General Relativity and Quantum Cosmology
2021-06-17 v1 Cosmology and Nongalactic Astrophysics
Abstract
The underlying geometri of spacetime algebra allows one to derive a force by contracting the relativistic generalization of angular momentum, M, with the mass-current, mw, where w is a proper 4-vector velocity. By applying this force to a cosmological object, a repulsive inverse distance-square law is found, which is proportional to the velocity dispersion squared of that structure. It is speculated if this finding may be relevant to the recent suggestion, that such a force may accelerate the expanding universe with no need for a cosmological constant.
Cite
@article{arxiv.2106.08951,
title = {A force proportional to velocity squared derived from spacetime algebra},
author = {Steen H. Hansen},
journal= {arXiv preprint arXiv:2106.08951},
year = {2021}
}
Comments
4 pages, no figure, submitted to MNRAS