English

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.

Keywords

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

R2 v1 2026-06-24T03:16:44.907Z