A force proportional to velocity squared derived from spacetime algebra

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A force proportional to velocity squared derived from spacetime algebra. / Hansen, Steen H.

In: Monthly Notices of the Royal Astronomical Society, Vol. 506, No. 1, 11.06.2021, p. L16-L19.

Research output: Contribution to journalJournal articleResearchpeer-review

Harvard

Hansen, SH 2021, 'A force proportional to velocity squared derived from spacetime algebra', Monthly Notices of the Royal Astronomical Society, vol. 506, no. 1, pp. L16-L19. https://doi.org/10.1093/mnrasl/slab065

APA

Hansen, S. H. (2021). A force proportional to velocity squared derived from spacetime algebra. Monthly Notices of the Royal Astronomical Society, 506(1), L16-L19. https://doi.org/10.1093/mnrasl/slab065

Vancouver

Hansen SH. A force proportional to velocity squared derived from spacetime algebra. Monthly Notices of the Royal Astronomical Society. 2021 Jun 11;506(1):L16-L19. https://doi.org/10.1093/mnrasl/slab065

Author

Hansen, Steen H. / A force proportional to velocity squared derived from spacetime algebra. In: Monthly Notices of the Royal Astronomical Society. 2021 ; Vol. 506, No. 1. pp. L16-L19.

Bibtex

@article{f37c5f28143e4bdf94630396d99487e8,
title = "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, m., 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 = "acceleration of particles, cosmology: theory",
author = "Hansen, {Steen H.}",
year = "2021",
month = jun,
day = "11",
doi = "10.1093/mnrasl/slab065",
language = "English",
volume = "506",
pages = "L16--L19",
journal = "Royal Astronomical Society. Monthly Notices",
issn = "0035-8711",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - A force proportional to velocity squared derived from spacetime algebra

AU - Hansen, Steen H.

PY - 2021/6/11

Y1 - 2021/6/11

N2 - 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, m., 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.

AB - 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, m., 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.

KW - acceleration of particles

KW - cosmology: theory

U2 - 10.1093/mnrasl/slab065

DO - 10.1093/mnrasl/slab065

M3 - Journal article

VL - 506

SP - L16-L19

JO - Royal Astronomical Society. Monthly Notices

JF - Royal Astronomical Society. Monthly Notices

SN - 0035-8711

IS - 1

ER -

ID: 284088659