A force proportional to velocity squared derived from spacetime algebra
Abstract
The underlying geometry of spacetime algebra allows one to derive a force by contracting the relativistic generalization of angular momentum, M, with the mass-current, mω, 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.
- Publication:
-
Monthly Notices of the Royal Astronomical Society
- Pub Date:
- September 2021
- DOI:
- 10.1093/mnrasl/slab065
- arXiv:
- arXiv:2106.08951
- Bibcode:
- 2021MNRAS.506L..16H
- Keywords:
-
- acceleration of particles;
- cosmology: theory;
- General Relativity and Quantum Cosmology;
- Astrophysics - Cosmology and Nongalactic Astrophysics
- E-Print:
- 4 pages, no figure, submitted to MNRAS