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ohwilleke
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- TL;DR Summary
- One explanation for phenomena attributed to dark matter is primordial black holes (formed shortly after the Big Bang, not by stellar collapse). This paper seems to rule out that hypothesis.
A new pre-print makes a sensible and convincing, in my view, argument that phenomena attributed to dark matter are not exclusively or predominantly explained by primordial black holes formed at less than the mass of a star shortly after the Big Bang, by means other than stellar collapse. This paper doesn't rule out the possibility that primordial black holes might exist, but argues that if they do, they don't play a big role in cosmology.
Proposals for large dim objects such as brown dwarfs which are very dim from a detectable radiation perspective (called MACHOs), or dust or interstellar gas, made of ordinary matter, were ruled out as dark matter candidates long ago. So were ordinary neutrinos (called "hot dark matter").
There are some "out there" proposals that exotic electromagnetically neutral hadrons made of ordinary matter bound by the strong force (e.g. hexaquarks) could serve as dark matter if they were stable. But the strong circumstantial evidence that there are no such stable hadrons (e.g., even a really heavy one would have a mass of less than 30 GeV or so and no evidence of stable heavy hadrons have been seen at the 14 TeV of the LHC), and the lack of evidence of interactions with ordinary matter via the weak force in direct detection experiments also strongly disfavors this class of proposals at masses up to hundreds of GeVs.
Primordial black holes are the last significant proposal for dark matter particle candidates not requiring either particles beyond the Standard Model or gravitational effects beyond Newtonian gravity in the weak field (which is conventionally as a practical matter used to approximate weak field General Relativity in galaxy and galactic cluster and smaller scale cosmology settings by warm and cold dark matter cosmology theorists) to exist (of which I am aware).
Small primordial black holes can be ruled out as dark matter candidates because they would decay due to Hawking Radiation too quickly for enough of them to survive to this point from the Big Bang to the current age of the Universe.
Large primordial black holes are ruled out by micro-lensing data and other means.
There is a window between those two constraints for asteroid sized primordial black holes to constitute dark matter, but the paper whose abstract appears below purports (convincingly) to close that gap.
The paper and its abstract are as follows:
The dynamics of objects in the Kuiper belt would seem like an excellent place to look for traces of asteroid sized dark matter clumps in the form of PBHs.
This would be aided by the fact that the local density of DM needed in the vicinity of the solar system in CDM theory is pretty well worked out (in furtherance of direct detection experiments), so the density of PBHs per volume you'd expect is provides some fairly constraining parameters on what you are looking for in those dynamics.
The body text of the paper sets forth the reasoning of their basic line of analysis of the problem:
The bottom line result from the body text is as follows:
The calculations is a straightforward page and a half. Is there a flaw in the logic of the paper that I'm missing?
Are there other remaining viable explanations of dark matter particles that don't involve non-Standard Model particles or tweaks to gravity that I've overlooked?
Proposals for large dim objects such as brown dwarfs which are very dim from a detectable radiation perspective (called MACHOs), or dust or interstellar gas, made of ordinary matter, were ruled out as dark matter candidates long ago. So were ordinary neutrinos (called "hot dark matter").
There are some "out there" proposals that exotic electromagnetically neutral hadrons made of ordinary matter bound by the strong force (e.g. hexaquarks) could serve as dark matter if they were stable. But the strong circumstantial evidence that there are no such stable hadrons (e.g., even a really heavy one would have a mass of less than 30 GeV or so and no evidence of stable heavy hadrons have been seen at the 14 TeV of the LHC), and the lack of evidence of interactions with ordinary matter via the weak force in direct detection experiments also strongly disfavors this class of proposals at masses up to hundreds of GeVs.
Primordial black holes are the last significant proposal for dark matter particle candidates not requiring either particles beyond the Standard Model or gravitational effects beyond Newtonian gravity in the weak field (which is conventionally as a practical matter used to approximate weak field General Relativity in galaxy and galactic cluster and smaller scale cosmology settings by warm and cold dark matter cosmology theorists) to exist (of which I am aware).
Small primordial black holes can be ruled out as dark matter candidates because they would decay due to Hawking Radiation too quickly for enough of them to survive to this point from the Big Bang to the current age of the Universe.
Large primordial black holes are ruled out by micro-lensing data and other means.
There is a window between those two constraints for asteroid sized primordial black holes to constitute dark matter, but the paper whose abstract appears below purports (convincingly) to close that gap.
The paper and its abstract are as follows:
Amir Sirajh, Abraham Loeb, "Eliminating the Remaining Window for Primordial Black Holes as Dark Matter from the Dynamics of the Cold Kuiper Belt" arXiv (March 8, 2021) (submitted for publication).The nature of dark matter (DM) is unknown.
One compelling possibility is DM being composed of primordial black holes (PBHs), given the tight limits on some types of elementary particles as DM. There is only one remaining window of masses available for PBHs to constitute the entire DM density, 10^17 - 10^23 g.
Here, we show that the kernel population in the cold Kuiper belt rules out this window, arguing in favor of a particle nature for DM.
The dynamics of objects in the Kuiper belt would seem like an excellent place to look for traces of asteroid sized dark matter clumps in the form of PBHs.
This would be aided by the fact that the local density of DM needed in the vicinity of the solar system in CDM theory is pretty well worked out (in furtherance of direct detection experiments), so the density of PBHs per volume you'd expect is provides some fairly constraining parameters on what you are looking for in those dynamics.
The body text of the paper sets forth the reasoning of their basic line of analysis of the problem:
Throughout this Letter, the local DM density is taken to be ρDM = 0.0133 ± 0.002 M⊙ pc^-3, given the local Galactic circular velocity of vP BH = 242±2 km s^-1.
We derive our constraints on gravitational perturbations by PBHs based on the small velocity dispersion of rocks observed near the midplane of our planetary system. In the Solar System, the Kuiper belt is composed of the classical belt, the scattered disk, resonant objects, and detached objects. The classical Kuiper belt is dominated by the ‘cold’ population (inclinations i < 5 ◦ ) of Kuiper belt objects (KBOs) which exhibits several distinct physical characteristics from the hot Kuiper belt and scattered disk populations, as well as a contrasting size distribution. The cold classical Kuiper belt contains a concentration of bodies called the ‘kernel’, with a uniform distribution of eccentricities from 0.03 to 0.08 and semimajor axes clustered at a = 44 . The kernel could have been formed as a byproduct of Neptune’s migration. The circular velocity of objects in the kernel is vKBO ≃ p GM⊙/a = 4.5 km s^−1 . Here, we show that the existence of the kernel eliminates the remaining window for primordial black holes as DM.
The bottom line result from the body text is as follows:
For v(PBH) , we conservatively ignore the velocity dispersion of PBHs in the Galactic halo, which would strengthen our limit if included in addition to the circular velocity of the Sun. The improvement in our limit would be mild because of the logarithmic dependence of f(PBH) on v(PBH).
The fiducial value of ∆e reflects the lower bound of eccentricity for the observed kernel population in the cold Kuiper belt; since the kernel is described by a uniform distribution in e between 0.03 and 0.08, an eccentricity kick of ∆e ≥ 0.03 from PBH kicks over the lifetime of the Solar System is excluded. A population extending down to e = 0.03 would not exist if sub-lunar PBHs comprised DM. Our limit can be improved with future observations of the Kuiper belt.
The observed existence of the kernel therefore rules out PBHs as DM to f(PBH) < 0.36 ± 0.07 throughout the entire remaining mass window over which PBHs were previously unconstrained, 10^17 − 10^23 g, arguing in favor a particle nature for DM.
The calculations is a straightforward page and a half. Is there a flaw in the logic of the paper that I'm missing?
Are there other remaining viable explanations of dark matter particles that don't involve non-Standard Model particles or tweaks to gravity that I've overlooked?
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