A force proportional to velocity squared derived from spacetime algebra. Issue 1 (11th June 2021)

• Record Type: Journal Article
• Authors: Hansen, Steen H
• Is Part Of: Monthly notices of the Royal Astronomical Society. Volume 506:Issue 1(2021)
• Page Start: L16
• Page End: L19
• Publication Date: 2021-06-11
• Subjects: acceleration of particles -- cosmology: theory; Astronomy -- Research -- Periodicals; Periodicals; 520.5
• DOI: 10.1093/mnrasl/slab065
• Languages: English
• ISSNs: 1745-3933

Abstract

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.