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 journal › Journal article › Research › peer-review
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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