Thursday, April 17, 2025

More Dark Matter Papers

A stubborn astrophysicist denies the strong evidence that dark matter, if it exists, is not significantly made up of primordial black holes, in a wholly unconvincing argument. Another paper reaches the opposite conclusion.

Japanese researchers are continuing the futile search for WIMP dark matter (which there is no evidence to support).

A new dark galaxy that shouldn't be possible in either LambdaCDM or self-interacting dark matter (SIDM) models has been observed:

Its remarkable compactness challenges the standard cold dark matter (CDM) paradigm. In this paper, we explore whether such a compact perturber could be explained as a core-collapsed halo described by the self-interacting dark matter (SIDM) model. . . . Our comparison with observations indicates that only a core-collapsed halo with a total mass of approximately 10^11 M⊙ could produce an inner density profile and mass enclosed within 1 kpc that is consistent with observational data. However, such a massive dark matter halo should host a galaxy detectable by prior Hubble imaging, which is not observed. Thus, the core-collapsed SIDM halo model struggles to fully account for the exotic nature of the "little dark dot" in the "Jackpot" lens.
Shubo Li, et al., "The "Little Dark Dot": Evidence for Self-Interacting Dark Matter in the Strong Lens SDSSJ0946+1006?" arXiv:2504.11800 (April 16, 2025).

Possible ways to experimentally confirm the existence of ultralight dark matter are considered in this paper.

A paper that investigates a model with warm dark matter that interacts with dark energy, in a manner that effectively creates a pressure component, is slightly favored over cold dark matter and partially relieves the S(8) tension in the LambdaCDM model, which presents issues for the model similar to those associated with the Hubble tension, but receives less attention because it is a more technical, less intuitive LamdaCDM parameter.

There were several cosmological inflation papers that I have not linked, because almost all inflation papers are speculative junk research.

There are lots of black hole papers today, as there are most days, adding to a continuing rich literature on the topic, but it simply doesn't interest me much, so I'm disinclined to blog about it. While subtle properties of black holes are explored in both conventional general relativity, and various quantum gravity and modified gravity variations on it, the take on black holes provided by plain vanilla general relativity work in the area hits the core points, and the further analysis doesn't add all that much to the fundamental astrophysics of gravity or the big picture.

Likewise papers on white holes and traversable wormholes are generally junk papers that are high speculative, are not supported by observational evidence or conventional theoretical analysis, and often contain flawed analysis.

Papers exploring hypothetical sources of Lorentz invariance violations, which multiple lines of observational evidence already rule out to high precision, are likewise usually speculative junk papers.

I've also made several recent posts in a thread at the Physics Forums, primarily spelling out with a selection of pertinent journal references, the fatal defects in a variety of proposed dark matter particle candidates, such as cold dark matter, warm dark matter, and self-interacting dark matter. But not yet definitively ruling out ultralight dark matter candidates. This is cut and pasted below the fold.

Assuming a dark matter particle paradigm, according to a pre-print by Yang (2015) subsequently published in Physical Review D, the lower bound on the mean lifetime of dark matter particles is 3.57×10^24 seconds. This is roughly 10^17 years. By comparison the age of the universe is roughly 1.38×10^10 years.

This means that dark matter (if it exists) is at least as stable as anything other than a proton, which has an experimentally determined mean lifetime of at least 10^34 years, or an electron, which is theoretically stable (just as the proton is in the Standard Model) and has an experimentally determined mean lifetime of at least 6.6×10^28 years.

This means that all dark matter candidates that are not perfectly stable (or at least metastable) are ruled out. Decaying dark matter and dark matter with any significant annihilation cross section are inconsistent with observation, unless there is a mechanism that generates new dark matter in equilibrium with the amount annihilated. So, there has not been a discernible decline in the inferred amount of dark matter.

Equilibrium models, with dark matter created and destroyed at identical rates, however, have grown in popularity over time as thermal freeze-out dark matter particles have seen their parameter space more and more constrained over time.

In thermal freeze-out models, dark matter particles cease to interact with other matter and attain their current velocity very early in the history of the universe, not longer after their creation. In these models, mean dark matter particle velocity is related to dark matter particle mass according to a well-established relationship. But the dark matter particle masses that would be expected given reasonable estimates of mean dark matter particle velocity are high relative to other constraints (e.g., direct dark matter detection experiments have produced extremely strict cross-section of interaction constraints in that mass range, particle accelerator experiments have not found new particles in that mass range, and there are some indications that dark matter particles exhibit some wave-like behavior to an extent which would be impossible for particles of such a high mass).
Has the amount of dark matter been constant since the big bang or is it increasing? If it is increasing, is regular matter decreasing at an equal rate?
The LambdaCDM "Standard Model of Cosmology" assumes a constant amount of dark matter in the universe after the earliest moments of the universe (with the density of the dark matter in the universe decreasing in proportion to the spatial volume of the universe), just as the model does in the case of ordinary baryonic matter.

Exactly how many moments after the Big Bang it takes for dark matter to emerge is pretty much irrelevant, as this number is much smaller (by a factor of many billions) than margin of error in our estimates of the age of the universe.

There is essentially no evidence to support an increasing amount of dark matter, although admittedly, any calculation of the amount of dark matter is model dependent, and many kind of astronomy observations can't distinguish between ordinary matter and dark matter.

Caveat

Not all lines of evidence are consistent with this analysis, however. An article in the journal Nature, Bowman (March 2018), analyzing the "21 centimeter line" in the radio spectrum finds that:
[E]ither the primordial gas was much colder than expected or the background radiation temperature was hotter than expected. Astrophysical phenomena (such as radiation from stars and stellar remnants) are unlikely to account for this discrepancy; of the proposed extensions to the standard model of cosmology and particle physics, only cooling of the gas as a result of interactions between dark matter and baryons seems to explain the observed amplitude.
In other words, this evidence contradicts the LambdaCDM model, which assumes that dark matter is "almost collisionless" and hence could not cause massive cooling through interactions between dark matter and baryons. This evidence is consistent with an early universe (post-radiation era, hundreds of millions of years after the Big Bang) that has no dark matter, but that possibility throws a wrench into other aspects of the LambdaCDM model.

This contradiction has not yet been adequately resolved. Some astrophysicists think that the 21cm line data from 2018 is due to systemic error of some kind, while others think that it is real and highly significant.

(Slightly edited and revised from my Physics Stack Exchange answer of July 31, 2018).

How is DM different from " standard" at the particle level?
Primarily because it is assumed to be nearly collisionless and interacting almost exclusively via gravity, while lacking at least electromagnetic and strong force interactions, and having a cross section of interaction which is much weaker than the weak force.

But the Standard Model of Particle Physics contains no such particles. Quarks have electromagnetic charge and strong and weak force interactions of standard strength. Charged leptons have electromagnetic charge and weak force interactions of standard strength. Neutrinos have standard strength weak force interactions, and we know from neutrino telescope observations that there aren't nearly enough of them in the universe to account for the inferred total mass of dark matter particles). Photons move too fast and are easily detected. Gluons have strong force interactions and are confined to strong force bound composite hadrons at temperatures energies present in outer space; they are deconfined only at temperatures found shortly after the Big Bang. W+ and W- bosons have electromagnetic and standard strength weak force interactions and are too short lived. Z bosons have standard strength weak force interactions and are too short lived. Higgs bosons are too short lived and have standard model Higgs field interactions with quarks and leptons. All known (or theoretically possible) composite particles made directly from Standard Model particle bound by the strong force (hadrons) are too short lived, have the wrong range of masses, and in many cases, have electromagnetic charge. Of course the exceptions in the Standard Model are protons and bound neutrons, which we call "ordinary matter" or "baryonic matter" (since protons and neutrons are the kind of hadron called baryons), but astronomers have quantified how many protons and neutrons exist, and this is an insufficient amount of mass to explain dark matter phenomena.

Direct dark matter searches affirm these nearly sterile inferred properties in a dark matter particle model. See, e.g., this chart:

1744741780188.png

From J. Aalbers, et al., "Dark Matter Search Results from 4.2 Tonne-Years of Exposure of the LUX-ZEPLIN (LZ) Experiment" arXiv:2410.17036 (October 22, 2024).

The cross-section of interaction of a neutrino with a nucleon is a little less than 10-38 cm2. The maximum cross-section of dark matter particles with masses from 9 GeV to 10,000 GeV in light of the latest Lux-Zeplin data is 10-45 cm2 (i.e. ten million times smaller), and for masses of 11 GeV to 150 GeV it is 10-47 cm2 (i.e. a billion times smaller). This is far below the threshold for dark matter candidates such as Higgs portal, Z portal, W portal, and millicharged dark matter candidates. Those thresholds were already passed in 2018.

Basically, if 9 GeV to 10 TeV mass dark matter particles exist, they have to have be completely "sterile", i.e. have no non-gravitational interactions with ordinary matter.

See also Zachary Bogorad, Peter Graham, Harikrishnan Ramani, "Constraints on Long-Ranged Interactions Between Dark Matter and the Standard Model", arXiv:2410.07324 (October 9, 2024) (tightly constraining possible ordinary matter-dark matter interactions by a completely independent method).

Of course, this poses its own problem.

Dark matter distributions that are inferred from galaxy dynamics and lensing data are far more predictable from observable ordinary matter distributions (pretty much completely to the limit of measurement error, see Federico Lelli, Stacy S. McGaugh, and James M. Schombert, "The small scatter of the baryonic Tully-Fisher relation" (December 14, 2015)), which shouldn't be possible if dark matter particles have no non-gravitational interactions with ordinary matter. See, e.g., Paolo Salucci and Nicola Turini, "Evidences for Collisional Dark Matter In Galaxies?" (July 4, 2017) and Paolo Salucci, "The distribution of dark matter in galaxies" (November 21, 2018) (60 pages, 28 Figures ~220 refs. Invited review for The Astronomy and Astrophysics Review) and Edo van Uitert, et al., "Halo ellipticity of GAMA galaxy groups from KiDS weak lensing" (October 13, 2016).

And, inferred dark matter halos for the most part, don't have the NFW halo shape that truly sterile dark matter candidates that are too massive to have significant wave-like behavior (or self-interactions that don't involve ordinary matter) should have. See, e.g., Jorge Sanchez Almeida, "Einasto gravitational potentials have difficulty to hold spherically symmetric stellar systems with cores" arXiv:2406.13613 (June 19, 2024) (RNAAS complementing our previous paper Sanchez Almeida et al. (2023, ApJ, 954, 153; doi: https://doi.org/10.3847/1538-4357/ace534)) and Jorge Sanchez Almeida, Angel R. Plastino, Ignacio Trujillo, "Can cuspy dark matter dominated halos hold cored stellar mass distributions?" arXiv:2307.01256 (July 3, 2023) (Accepted for publication in ApJ).

Furthermore, no one has convincingly explained these discrepancies with physically plausible baryonic feedback effects, which are often suggested as a possible explanation for what is observed. Indeed, a 2023 paper recounts a galaxy known as Nube, which should not be possible if the necessary baryonic feedback to address the small scale problems of sterile dark matter exists.

Self-interacting dark matter (SIDM) also has tight constraints, see, e.g., Shin'ichiro Ando, et al., "Stringent Constraints on Self-Interacting Dark Matter Using Milky-Way Satellite Galaxies Kinematics" arXiv:2503.13650 (March 17, 2025), and is realistically over constrained with some constraints ruling out all of the parameter space allowed by other constraints. See, e.g., Ziwen Zhang, et al., "Unexpected clustering pattern in dwarf galaxies challenges formation models" arXiv:2504.03305 (April 7, 2025) (Accepted for publication in Nature) (favoring of cross-section of interaction of 3.0 rather than under 0.2, in the same units). See also here (cross-section of more than 2.0 favored, published at 452 MNRAS 1468 (2015)).

Really, the only dark matter particle candidates that are not really strongly challenged by the observational evidence are those with extremely light dark matter particles (e.g., in fuzzy dark matter models and axion like particle (ALP) models), with masses much lighter than the average neutrino mass (ca. 10-20 eV to 10-24 eV), that can't arise from a thermal freeze-out model and have the low mean velocities inferred from the amount of large scale structure and galaxy structure that is observed. See generally, Tonatiuh Matos, Luis A. Ureña-López, Jae-Weon Lee, "Short Review of the main achievements of the Scalar Field, Fuzzy, Ultralight, Wave, BEC Dark Matter model" arXiv:2312.00254 (November 30, 2023). These hypothetical bosons, coincidentally, have masses of the same rough order of magnitude as the mass-energy of a hypothetical typical graviton.

This isn't to say that these ultra-light dark matter candidates are correct, however. This dark matter particle candidate is a relatively new one to receive serious attention, and scientists haven't fully "kicked the tires" yet on these models as rigorously as they have for older dark matter particle candidates.

See alsothis previous thread at PF addressing a very similar question.

Neutrino telescopes only detect very (or ultra) high energy neutrinos, typically originating from cosmogenic sources such as AGNs. The main problem with neutrinos is that they are too light - both to make up a significant portion of the matter budget and leading to them being a warm dark matter candidate in tension with observed structures.
The core point is that we can make up a matter budget for them and that there aren't enough of them by many, many orders of magnitude.

Neutrinos would also be a "hot dark matter" candidate and is indeed in tension with the amount of structure observed at scales like those of galaxies, galaxy clusters, and the "cosmic web". Qualitatively, hot dark matter means that the dark matter particles have mean velocities so high that they prevent those kinds of structures from arising. Neutrinos are generally relativistic or nearly so, because even the least bit of energy is enough to propel their tiny masses to extreme velocities.

The current upper bound on the absolute mass of the lightest neutrino is 0.45 eV from KATRIN direct measurement (implying as sum of the three neutrino masses of not more than 1.45 eV or so). KATRIN is expected to reduce that upper bound on the lightest neutrino mass to 0.2 eV at the completion of its run in the next few years (implying as sum of the three neutrino masses of not more than 0.7 eV or so). The minimum sum of the three neutrino masses if the lightest neutrino mass is basically zero is about 0.06 eV in a normal hierarchy of neutrino masses (which is mildly favored by observations) and about 0.1 eV in an inverted hierarchy of neutrino masses). Cosmology based bounds on the sum of the three neutrino masses are on the order of 0.12 eV but converting astronomy observations to neutrino masses is model dependent with DESI showing a mild statistical preference for a very low bound below the floor established in neutrino oscillation experiments. Still, if the cosmology bounds are anywhere close to right, and they are in synch with the scale of neutrino masses from neutrino oscillation experiments, the lightest neutrino mass in on the order of 0.001 to 0.020 meV or less.

Warm Dark Matter Compared

The term "warm dark matter" is generally reserved for sterile or nearly sterile dark matter candidates with masses on the order of 1 keV if it has thermal freeze-out origins, which is about 100,000 to 1,000,000+ times more massive than neutrinos. Qualitatively, warm dark matter means that the dark matter particles have essentially the same properties as the paradigmatic "cold dark matter" (basically anything with a mass >> keV in a thermal freeze out scenario), but the critical point about it is not its mean velocity (although it is higher than "cold dark matter") but it particle mass which impacts its Compton wave-length, which is just small enough for it to start displaying meaningful wave-like quantum behavior at wave-lengths long enough to have an observable impact on galaxy dynamics and astronomy observations.

Dark matter phenomena are observed to have some wave-like behavior. See Alfred Amruth, "Einstein rings modulated by wavelike dark matter from anomalies in gravitationally lensed images" Nature Astronomy (April 20, 2023) https://doi.org/10.1038/s41550-023-01943-9 (Open access copy available at arxiv).

Warm dark matter's wave-like behavior is due to quantum physics considerations helps address some of the small scale structure problems with cold dark matter, especially the "core-cusp" problem (identified, e.g., in Boylan-Kolchin et al. 2011), and the failure to real world inferred dark matter halo shapes to match the NFW profile (noted in #6; (see also, e.g., James S. Bullock, Michael Boylan-Kolchin, "Small-Scale Challenges to the ΛCDM Paradigm" (July 13, 2017, last updated September 2, 2019); Nicolas Loizeau, Glennys R. Farrar, “Galaxy rotation curves disfavor traditional and self-interacting dark matter halos, preferring a disk component or ad-hoc Einasto function” arXiv 2105:00119 (April 30, 2021); Daniel B Thomas, Michael Kopp, Katarina Markovič, "Using large scale structure data and a halo model to constrain Generalised Dark Matter" arXiv:1905.02739 (May 7, 2019 last updated May 4, 2020) https://doi.org/10.1093/mnras/stz2559), and Theodorus Maria Nieuwenhuizen "Subjecting dark matter candidates to the cluster test" (October 3, 2017)).

Warm dark matter was a very promising prospect a couple of decades or so ago when it was first proposed in a well-thought out manner. See e.g., Sommer-Larsen & Dolgov 2001; Bode et al. 2001). See also Alyson Brooks, "Re-Examining Astrophysical Constraints on the Dark Matter Model" (July 28, 2014) (identifying WDM and SIDM as more promising the CDM which was almost ruled out observationally by then).

But further analysis determined that it is too mild a cure for cold dark matter's small scale structure problems, and other observations have also constrained it.

One common version of warm dark matter, for example, is keV scale sterile neutrino dark matter. But observations strongly disfavor it at scales below about 4 keV, which is pushing the high end of the mass range where its quantum features can be shown. See Oliver Newton, et al., "Constraints on the properties of νMSM dark matter using the satellite galaxies of the Milky Way" arXiv:2408.16042 (August 28, 2024), Simon Birrer, Adam Amara, and Alexandre Refregier, "Lensing substructure quantification in RXJ1131-1231: A 2 keV lower bound on dark matter thermal relict mass" (January 31, 2017), Schneider (2017), and Viel (2013).

Early observational hints of warm dark matter annihilation or decay have now been largely ruled out as having that cause. See Christopher Dessert, Joshua W. Foster, Yujin Park, Benjamin R. Safdi, "Was There a 3.5 keV Line?" arXiv:2309.03254 (September 6, 2023). See also https://arxiv.org/abs/1408.1699and https://arxiv.org/abs/1408.4115.

Warm dark matter shares the same problems as sterile cold dark matter in terms of the lack of a mechanism causing it to be so tightly linked to ordinary matter distributions, noted in Paolo Salucci and Nicola Turini, "Evidences for Collisional Dark Matter In Galaxies?" (July 4, 2017) and, e.g. Camila A. Correa, Joop Schaye, "The dependence of the galaxy stellar-to-halo mass relation on galaxy morphology" arXiv:2010.01186 (October 2, 2020) (accepted for publication in MNRAS), and also can't explain observations such as the observation that:

[A]t equal luminosity, flattened medium-size elliptical galaxies are on average five times heavier than rounder ones, and . . . the non-baryonic matter content of medium-size round galaxies is small.
A. Deur, "A correlation between the dark content of elliptical galaxies and their ellipticity" arXiv:2010.06692 (October 13, 2020) (the paper details the analysis of the results published in MNRAS 438, 2, 1535 (2014) reporting an empirical correlation between the ellipticity of elliptical galaxies and their dark matter content).

Another problem with warm dark matter is that is delays galaxy formation by ca. 200 million years relative to LambdaCDM, when observation suggests that galaxy formation happens sooner than LambdaCDM assumptions would support. See Lovell (2020).

Turns out that the experimental decay mode against which electron stability was checked against was a charge nonconserving mode e-=ν+γ And that´s possible at halflife of 1029 years? Note how it charges up the world! (positrons are rare and protons are "proven" to have 300 000 times longer halflife!)
The upper bounds are merely a result of the limits of experimental precision. These upper bounds don't imply any positive evidence that it is possible for a longer time period. The experiments simply aren't precise enough and have large enough sample sizes to rule out longer half-lives yet.

Neither electron decay nor proton decay are allowed in the Standard Model because there aren't, as you observe, possible decay products in the form of Standard Model particles that conserve the quantum numbers and mass-energy conservation that apply in the Standard Model. These Standard Model conservation laws include electromagnetic charge conservation (as you note in the case of electron decay), and, in the case of proton decay, multiple reasons at the energies found in the current cosmological era, including baryon number conservation which is preserved in the Standard Model (absent ultra-high energy sphaleron interactions that would take colliders with about 100 times the energy of the LHC to produce, energies which have not been present in nature since very shortly after the Big Bang).

Proton decay is a subject of experimental interest because many grand unification theories (GUTs) that try to unify the Standard Model interactions into a single Lie group, unlike the Standard Model which imposes this conservation law, do not mandate baryon number conservation above moderately high energies that have already been explored experimentally. The non-detection of proton decay to high precision has experimentally ruled out the simplest GUT models such as SU(5) unification of the Standard Model forces. Increased precision in ruling out proton decay can rule out more complicated GUT models at even higher energies that can be reached directly in high energy collider experiments.

But, the bottom line is that not even the slightest hint of electron decay or proton decay has been observed in any kind of experimental search, and that these decays are not allowed or expected in the Standard Model.

And, this, of course, is relevant at all in this discussion simply to illustrate that dark matter particles, if they exist, must be among the most stable particles in the universe. This is exceptional because the vast majority of fundamental and composite particles allowed by the Standard Model have mean lifetimes on the order of a microsecond to time frames eighteen orders of magnitude shorter than that. There are no stable massive bosons in the Standard Model. The only fermions in the the Standard Model that are stable (all of which are massive) are two kinds of baryons (protons and bound neutrons in stable atoms), electrons, and neutrinos (which themselves oscillate).
Why are there so much searches about "dark matter annihilation" producing standard model particles? Do we have any a priori reason to suppose that standard model particles are the preferred and the more stable form of matter? Could it be the case that spontaneous interconversion, slow as it is, goes from standard model matter towards dark matter because that's the ultimately stable form of matter?

About dark matter particles being "stable" or resistant to "annihilation" - yes, sure, we would see their decay or annihilation products if they were standard model particles except maybe neutrinos. But could some dark matter particles be unstable to decay or annihilation, on astronomically relevant timescales, if it is to different dark matter particles?
This comes down, in part, to the parable about searching for your lost keys under the street light, even if they are more likely to be in the dark part of the alley, where they simply can't be found until sunrise.

We search for decays into Standard Model particles because if they exist, we can find them, and if they don't, we have a new property that dark matter must obey, which is that it doesn't have interactions that annihilate or decay into Standard Model particles (i.e. it is "sterile" in the sense of not having any interactions with any of the three fundamental forces of the Standard Model, even if there is a new physics dark matter to dark matter force).

The more evidence we have the dark matter is sterile (in this sense), the more puzzling it is that gravitational interactions with ordinary matter alone can cause inferred dark matter halos to be so tightly linked to ordinary matter distributions in galaxies.

A perfectly sterile dark matter sector also favors thermal freeze-out models to alternatives where dark matter is constantly being created and destroyed in an equilibrium manner.

This is because some sort of process has to create it, and if it is that sterile, the easiest way for that to be the case would be an interaction that only takes place in the terra incognita of the ultra-high energies shortly after the Big Bang, where we can't rule out new physics because we can't create experiments that reach such high energies.

New physics outside the experimentally confirmed domain of applicability of the Standard Model are a lot more palatable than new physics that can create and destroy dark matter particles at energy scales (such as those present in deep outer space where dark matter is inferred to be and has been for the last 13 billion plus years) that have been exhaustively studied in laboratories.

Of course, if dark matter particles decay into other dark matter particles that have the same observable consequences in astronomy, to some extent, we don't really care. All possible dark matter particles with the same observable consequences in astronomy are functionally the same things for purposes of astrophysics, which is the discipline of physics that motivates the search for dark matter and places bounds on its properties if it exists, in the first place. If multiple different kinds of dark matter particles all have the same observable consequences then the exact properties of dark matter particles are, to that extent, theoretically unknowable.

Dark matter annihilation or decay into other dark matter particles, however, in most scenarios, would have observable consequences. It might change mean dark matter particle velocity (i.e. making the average composition of dark matter hotter or cooler over time). It would influence the momentum of dark matter halos over time. It might influence the migration of visible stars inward or outward within galaxies. And, so on.

In general, dark matter annihilation or decay into other dark matter particles on time scales significantly less than the age of the universe (e.g. a half-life of several billion years or less) would imply that the dynamics of galaxies and galaxy clusters in the early universe (e.g., in galaxies and clusters that only the Hubble telescope and the JWST are powerful enough to see) should be materially different from galaxies and galaxy clusters at intermediate and low redshifts, respectively.

So far, however, the recent observations of the JWST are telling us the opposite story. The earliest galaxies whose dynamics we can discern (which aren't quite as early as the earliest galaxies that can be seen at all) look very similar to modern galaxies (except for their lower average metallicity, the cause of which is well understood).
 

3 comments:

neo said...

"We corroborate the idea that Planck mass relics could be an important component of dark matter, and find that these are formed by PBH with initial mass less than approximately 6 x 10^{-16} M{_\odot} and cosmic temperature above 10^9 GeV."

Planck mass relics

andrew said...

Planck mass is about 21.76 micrograms. The event horizon gets so small its ill-defined and the Hawking radiation should have eliminated these long ago. The temperature only stays at 10^9 GeV or more is immediately following inflation at the start of the electroweak era in Standard Cosmology in the first 10^-32 seconds after the Big Bang, which isn't even long enough for a W or Z boson or a top quark to decay (more than a million times too short). Planck mass PBHs in the mainstream analysis should be gone very quickly. Hawking estimated that any black hole formed in the early universe with a mass of less than approximately 10^12 kg would have evaporated completely by the present day, and a Planck mass black hole should evaporate in 8.4 * 10^-17 seconds, which well before electroweak unification, the quark era, or baryogenesis, let alone Big Bang nucleosynthesis. He assumes far from the mainstream, that a tenuous chain of accretion and Hawking radiation keeps some of these tiny PBHs alive and endorses the controversial and starkly minority finding at a 2019 observation was a small PBH and that exoplanet observations may actually be misclassified PBHs. But even so, there aren't nearly enough exoplanets out there. His gross departure from the vast majority of the PBH literature, by someone whose been an astronomer usually as part of a collaboration for more than 30 years but has never written a PBH paper and has done very little astrophysics or solidly GR work, just doesn't pass the smell test. It also only leaves him with the CDM candidate and he doesn't explain how it overcomes other CDM problems. In short, not credible and barely worth the mention.

neo said...

he event horizon gets so small its ill-defined and the Hawking radiation should have eliminated these long ago.

may in effect be stable objects if the quantized gaps between their allowed energy levels bar them from emitting Hawking particles or absorbing energy gravitationally like a classical black hole.

MacGibbon, J. H. (1987). "Can Planck-mass relics of evaporating black holes close the Universe?". Nature. 329 (6137): 308–309. Bibcode:1987Natur.329..308M. doi:10.1038/329308a0. S2CID 4286464