Theoretically motivated dark electromagnetism as the origin of relativistic MOND
arxiv(2023)
摘要
The present paper is a modest attempt to initiate the research program
outlined in this abstract. We propose that general relativity and relativistic
MOND (RelMOND) are analogues of the broken electroweak symmetry. That is,
SU(2)_R × U(1)_YDEM→ U(1)_DEM (DEM stands for dark
electromagnetism), and GR is assumed to arise from the broken SU(2)_R
symmetry, and is analogous to the weak force. RelMOND is identified with dark
electromagnetism U(1)_DEM, which is the remaining unbroken symmetry after
spontaneous symmetry breaking of the darkelectro-grav sector SU(2)_R ×
U(1)_YDEM. This sector, as well as the electroweak sector, arise from the
breaking of an E_8 × E_8 symmetry, in a recently proposed model of
unification of the standard model with pre-gravitation, this latter being an
SU(2)_R gauge theory. The source charge for the dark electromagnetic force is
square-root of mass, motivated by the experimental fact that the square-roots
of the masses of the electron, up quark, and down quark, are in the ratio
1:2:3, which is a flip of their electric charge ratios 3:2:1 The introduction
of the dark electromagnetic force helps understand the weird mass ratios of the
second and third generation of charged fermions. We also note that in the deep
MOND regime, acceleration is proportional to square-root of mass, which
motivates us to propose the relativistic U(1)_DEM gauge symmetry as the
origin of MOND. We explain why the dark electromagnetic force falls inversely
with distance, as in MOND, and not as the inverse square of distance. We
conclude that dark electromagnetism is a good mimicker of cold dark matter, and
the two are essentially indistinguishable in those cosmological situations
where CDM is successful in explaining observations, such as CMB anisotropies,
and gravitational lensing.
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