A force proportional to velocity squared derived from spacetime algebra

TL;DR

This paper derives a velocity-squared proportional force from spacetime algebra, suggesting a potential alternative explanation for cosmic acceleration without invoking a cosmological constant.

Contribution

It introduces a novel force derived from spacetime algebra that could explain cosmic acceleration through a velocity-dependent inverse-square law.

Findings

A force proportional to velocity squared is derived from spacetime algebra.

The force acts as a repulsive inverse distance-square law.

Potential relevance to accelerating universe without cosmological constant.

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.