I have recently been reading several of your papers, several of Salvatore Capozziellos papers, and one by Piazza and Marinoni. Obviously F(R) modifications to GR are not very successful nor very economical in comparison with DM particles, albeit unknown. The URC shows that there is an unexplained interaction between DM and luminous matter in galaxies but the scale in clusters, superclusters and CMB is different, ruling out a common F(R). How do you see this? The other problem is the cored/cusped profiles in galaxies. If you rule out NFW and testify that Burkert is better, both are just empirical, badly or well fitting at some scale, but not scale-independent, and lacking convincing theory. I have no proposal. I'm not sure people attach enough attention to this.
Article The Dark Matter halo of the Milky Way, AD 2013
From the explanation of your question, I see that there is
an unknown interaction between luminous and dark matter.
From the particle physics point of view any exotic matter
which does not transform under standard model gauge
group is a dark matter because ordinary gauge bosons
namely photon, gluon, w+-,Z does not couple to them.
In terms of gauge theories this is the only way to have
an interaction with detectors. In particle physics literature
they are just exotic fermions. The question is, because
they are not seen are they very heavy ? Answer is no because
their interaction cross section with ordinary matter is
small (or zero in ideal case).
Feeble unknown interaction can be loop induced. Standard
model singlets can oscillate with neutrinos. There are a
number of studies in which active-sterile oscillation is
considered. Here the term sterile refers to a general
singlet fermion.
This is a viable possibility theoretically.
Another point in the explanation of your question seems to
be that these interactions are dependent on the scale.
Is this energy scale ? Please clarify this point. Interaction cross
sections can naturally be energy scale dependent.
Dark matter and luminous matter interact via gravity.
In early universe can this interaction emit gravity waves.
Which will be red shifted at the present era. That can also
give a homogeneous and isotropic background similar
to CMBR.
Biswajoy,
It seems to me that the solution has to be searched in self-interacting dark matter (SIDM) models. Some progress in this line has has been reported, see arXiv on SIDM.
It appears that SIDM models have been ruled out in dwarf galaxies, see arXiv:1501.00497 [astro-ph.CO], no comments there on spiral galaxies.
Pollack, Spergel and Steinhardt (arXiv:1501.00017 [astro-ph.CO]) assume the existence of ultra-strongly self-interacting DM particles (uSIDM), constituting 6. and perhaps eject matter from the center of binary colliding dwarfs. No comments there on spiral galaxies.
So SIDM perhaps is not a good idea for spiral galaxies.
Newton law (Virial Theorem ) fails out an Euclidean -flat- space. The illusion of dark matter is a consequence of applying such a law to describe the motion inside a Galaxy or cluster of Galaxies where the spacetime is hyperbolic . We prove that the spacetime is Hyperbolic and we develop the equation of motion in the hyperbolic space of the Galaxy wihch fits the observed data and predicts the flat rotation curve without need of dark matter.
Article The Big Bang hyperbolic universe neither needs inflation nor...
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