[HN Gopher] Dark Matter Alternative Passes Big Test
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       Dark Matter Alternative Passes Big Test
        
       Author : gumby
       Score  : 32 points
       Date   : 2021-10-19 13:14 UTC (9 hours ago)
        
 (HTM) web link (physics.aps.org)
 (TXT) w3m dump (physics.aps.org)
        
       | Svoka wrote:
       | Why is Hacker News so fixated on MOND? I mean, I guess general
       | relativity is hard for general public, but come on...
       | 
       | At this point MONDs look like really overfit models, failing to
       | make any observable predictions, struggling to describe what we
       | already observe (by overfitting)
        
         | autokad wrote:
         | the biggest point is: you are telling me there is something
         | that makes up the majority of matter in the universe (27% dark
         | matter vs 5% matter) and we still haven't observed a single
         | iota of it, even after spending more than 3 decades and
         | billions of dollars?
         | 
         | 'well it fits all of our understanding of the universe and what
         | we observe in a few things'
         | 
         | It comes on top of things that cosmologists have been wrong for
         | very very very long times on. Look how long they thought it was
         | silly to consider the big bang. maybe it would be easier to
         | accept if they were like 'well the big bang is a very
         | interesting idea but it just doesn't fit evidence' instead of
         | 'that's a stupid idea, my idea (static universe) is simpler so
         | its right'.
         | 
         | speaking of which, we really need to get off this 'simple idea
         | is the right idea' dogma. The universe owes us no such
         | obligation to be simple.
         | 
         | cosmology got so many assumptions baked in them its hard to
         | figure out where they begin and end. for example, look how much
         | relies off the idea that the universe is the same everywhere,
         | which we now know as wrong, but cosmologists are only slightly
         | admitting to that fact.
        
         | actually_a_dog wrote:
         | My thoughts exactly. In particular:
         | 
         | > The idea did not spring from any underlying theory....
         | 
         | It all tends to remind me of epicycles.
         | 
         | https://en.wikipedia.org/wiki/Deferent_and_epicycle
        
       | knzhou wrote:
       | One should keep in mind that most dark matter "alternatives",
       | including this one, actually _include_ dark matter. It says so
       | right on the 2nd page of their paper:
       | 
       | > Consider requirement (iii), that is, successful cosmology. In
       | (2) we have a new d.o.f. ph [...] What should the expectation for
       | a cosmological evolution of ph be? The MOND law for galaxies is
       | silent regarding this matter. There is, however, another
       | empirical law which concerns cosmology: the existence of sizable
       | amounts of energy density scaling precisely as a^(-3).
       | 
       | In other words, they are saying that to get the cosmology right,
       | they need to add stuff that behaves exactly like dark matter --
       | that is what they are alluding to with the "sizable amounts of
       | energy". They make their ph field play this role. It's just like
       | TeVeS, the other major relativistic MOND theory, where the scalar
       | "S" field does the same thing.
       | 
       | The popular press likes to frame the debate as "dark matter vs.
       | modified gravity", but it's really "dark matter vs. dark matter
       | plus modified gravity", which is much less dramatic.
        
         | throwaway894345 wrote:
         | > The popular press likes to frame the debate as "dark matter
         | vs. modified gravity", but it's really "dark matter vs. dark
         | matter plus modified gravity", which is much less dramatic.
         | 
         | Honestly for us lay folks there isn't a perceptible difference
         | in the amount of drama between the two. :)
        
         | raattgift wrote:
         | > We remark that A_\mu also contains a pure vector mode
         | perturbation which is expected to behave similarly as in the
         | Einstein-AEther theory [90, 91]"
         | 
         | Their [91] is Jacobson & Mattingly https://arxiv.org/abs/gr-
         | qc/0007031 whose SSVII (DISCUSSION) contains this, which I
         | struggle to see as helpful for them: "With the action adopted
         | in this paper the aether vector generically develops gradient
         | singularities even when the metric is perfectly regular. We
         | take this as a sign that the theory is unphysical as an
         | effective theory". (That doesn't stop Jacobson from
         | investigating things like (time-independent) black hole
         | solutions https://arxiv.org/abs/gr-qc/0604088 "It is a
         | plausible conjecture that nonsingular spherically symmetric
         | initial data will evolve to one of the regular black holes
         | whose existence has been demonstrated here, but this has
         | certainly not been shown", and worse they show that the aether
         | does not obey the Raychaudhri equation, so the relativistic
         | MOND authors seem to need more ghosts).
         | 
         | For the life of me, I can't figure out the relevance of their
         | reference [90] which I believe is
         | https://www.jstor.org/stable/2414316
         | 
         | I wonder who their Reviewer 2 was.
        
       | ncmncm wrote:
       | What happened to the recent work showing that galactic rotation
       | curves are consistent with ordinary GR? Last I read, cosmologists
       | were choosing to ignore it. The article does not mention it, and
       | treats galaxy rotation as if it were still considered anomalous.
       | 
       | It would be amusing if dark matter and MOND turned out to be both
       | correct, and both needed. E.g., dark matter is diffuse enough not
       | to affect galaxy rotation, but clumped enough to account for
       | lensing and cluster adhesion.
       | 
       | Casting MOND as a matter of fields, which are also particles,
       | seems to mean just a different sort of dark matter that interacts
       | by some other means than gravitation, rather than our model of
       | gravity itself being off. Some people who dislike dark matter
       | would not like that much.
        
         | knzhou wrote:
         | > What happened to the recent work showing that galactic
         | rotation curves are consistent with ordinary GR? Last I read,
         | cosmologists were choosing to ignore it.
         | 
         | Gravitomagnetism is a well-understood and experimentally
         | measured effect. It is also a very small effect, of the order
         | v^2 / c^2 where v is the speed of the sources. In the galaxy,
         | stars move with v/c ~ 1/1000, which means the gravitomagnetic
         | correction is one in a million. So while N-body simulations do
         | sometimes account for general relativistic corrections like
         | these, they're not nearly large enough to remove the
         | requirement for dark matter.
         | 
         | That is the simple reason the paper has been ignored by
         | everyone in the scientific community and rejected from decent
         | journals. Of course, this hasn't stopped hundreds of fluffy pop
         | articles being written on it, or it getting posted every week
         | on HN. The blind leading the blind.
        
           | ncmncm wrote:
           | What I am hearing is that nobody has found an error in his
           | derivation; instead, everybody has chosen to continue skating
           | on the v^2/c^2 estimate arrived at without having done the
           | detailed maths.
           | 
           | In general, anytime mathematical rigor is at issue, I will
           | prefer to bet on the plasma fluid dynamicist over the
           | cosmologist.
        
       | tynpeddler wrote:
       | > Unlike dark matter models that are often based on fundamental
       | symmetry principles--the new model was not conceived with an
       | underlying theory in mind. However, such a theoretical basis
       | might be uncovered using the new MOND model.
       | 
       | I think this is an important thing to keep in mind. Cosmology has
       | a big challenge right now. There is something fundamental in the
       | universe that we don't understand. While dark matter is currently
       | our best explanation, it is deeply flawed; it predicts the
       | existence of an entire class of matter that we've been unable to
       | find any physical proof for other than cosmology (and cosmology
       | is the thing we want to explain!). Maybe we haven't looked hard
       | enough, maybe we haven't look in the right place, or maybe dark
       | matter is just wrong.
       | 
       | The CMB has been a huge issue for dark matter alternatives.
       | Previously, only dark matter had a good explanation. If this
       | result holds, it could be an amazing leap forward is outlining
       | the alternative types of theories that could explain cosmology.
        
         | tiborsaas wrote:
         | > While dark matter is currently our best explanation, it is
         | deeply flawed
         | 
         | Calling it deeply flawed is focusing on just one aspect of it.
         | The name just refers to the darkness in our knowledge about
         | what it is. We don't know. It might be a form of matter, it
         | might be a new factor in our equations or something completely
         | different.
        
         | raattgift wrote:
         | > There is something fundamental in the universe that we don't
         | understand.
         | 
         | Good! I hope there's _lots_ of fundamental things we don 't
         | understand well yet. We can then enjoy improving our
         | understanding.
         | 
         | "The paper" below is https://arxiv.org/abs/2007.00082 ==
         | https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.12...
         | which is the topic of the fine article linked at the top.
         | 
         | > If this result holds, it could be an amazing leap
         | 
         | I'm not sure if one can use the term result here. In the paper
         | there is just a write-down of a theory that is deliberately
         | designed to match an extra couple lines of astrophysical
         | evidence that previous write-downs incorporating Milgrom's
         | function (see https://arxiv.org/abs/1112.3960 for a partial
         | catalogue of dozens of families of them) did not. Indeed, the
         | paper's abstract says this clearly: "We discuss
         | phenomenological requirements leading to [the theory's]
         | construction and demonstrate its agreement with the observed
         | [CMB & matter]".
         | 
         | The theory in the paper doesn't match _all_ the troublesome-
         | for-relativistic-MOND lines of evidence (choosing to focus on
         | CMB polarization) and the paper 's authors are uncertain about
         | several. See e.g. the first paragraph (starting at its third
         | sentence) in the Discussion section on p. 5 and the subsequent
         | paragraph. Note (weak field) _quasistatic approximation_. They
         | carry on to an admission that they struggle to suppress
         | unlikely imprints on the CMB, and propose to introduce further
         | dark fields to do so. These fields will have their own density
         | distribution and dynamics. The only really nonstandard thing is
         | that they have a strong preference for treating these as
         | _gravitational_ degrees of freedom (modified gravity) rather
         | than generators of stress-energy (matter).
         | 
         | From a theorist's perspective it's neat that they were able to
         | do this, because it's been known for a little more than fifteen
         | years that it's _hard_ to write down such a theory and have it
         | be apparently self-consistent. It is not, however, apparently
         | complete. Indeed, returning to your  "there is something
         | fundamental ... we don't understand", the paper says: "Absence
         | of ghosts to quadratic order signifies a healthy theory that
         | could arise as a limit of a more fundamental theory. We do not
         | have such a theory at present".
         | 
         | The ghost condensate they go on to discuss is essentially a
         | non-zero average correction to the values predicted by their
         | theory in the low energy limit. Specifically they appear to be
         | trying to control the non-Gaussianities in the CMB associated
         | with their scalar's dynamics corresponding to an aether (yes,
         | really) having a rest frame that is not the CMB rest frame.
         | (Their unit-timelike vector field A^\mu also breaks invariance
         | under Lorentz boosts, which probably impacts ultra-high-energy
         | cosmic rays if extragalactic, leading to different ghosts.)
         | 
         | > predicts ... an entire class of matter that we've been unable
         | to find any physical proof for other than cosmology (and
         | cosmology is the thing we want to explain!)
         | 
         | This objection shows up often in online forums, but seems to
         | ignore the pattern of discovery of particles that do not
         | participate in electromagnetism.
         | 
         | Roll back to ~1930 where we want to explain the statistics of
         | beta decay and have Pauli postulating a particle which wasn't
         | previously observed in nuclear physics, and defied observation
         | for forty-five years. Or to ~1910 when people were scratching
         | their head over the atomic masses of heavy water and other
         | chemical isotopes leading to the proposal of a proton-massed
         | electromagnetically uncharged particle. Neutrinos (non-relic)
         | are _hot_ dark matter. If they were heavy enough not to zip
         | away from galaxy clusters, they 'd be cold WIMPs. If free
         | neutrons didn't decay so quickly, with a suitable distribution
         | (bb relic field?) they could also be candidates for WIMP cold
         | dark matter, and also their discovery by 1932 (i.e. before
         | Bevatron or at least the larger Berkeley deuteron cyclotrons)
         | would seem optimistic.
         | 
         | There may be good reasons to doubt particle cold dark matter,
         | but that it hasn't been detected in the 40 years since Peebles
         | proposed it does not seem like one.
         | 
         | Additionally, particle physicists are looking for a variety of
         | new particles to solve _totally non-gravitational_ problems in
         | the Standard Model. Several of these could be good candidates
         | for particle cold dark matter. Indeed, cold dark matter could
         | turn out to be a mix of several of these. Who knows? It 'll be
         | fun finding out.
        
       | raattgift wrote:
       | This is a surprisingly good write-up.
       | 
       | The Skordis & Zlosnik paper can be found at
       | https://arxiv.org/abs/2007.00082
       | 
       | I'll start with some comments for non-experts, and then escalate
       | about ten paragraphs further down.
       | 
       | tl;dr: there are lots of things that hang on General Relativity
       | being correct practically everywhere in our universe, the only
       | "hiding places" that don't break astrophysical objects (or even
       | laboratory experiments, including in robotic laboratories we have
       | sent to other places in our solar system) is very close to the
       | big bang, deep inside black holes, and in large masses brought
       | into a quantum superposition of space.
       | 
       | The core of General Relativity is a _mathematically-complete
       | relationship_ between matter in a spacetime, and spacetime
       | curvature. The key point is that the exact relationship can be
       | described correctly at every point in the spacetime.
       | 
       | The relationship takes on a particular form: the Einstein Field
       | Equations (EFE), which can be written (omitting prefactors, the
       | cosmological constant, and indices) as G = T, where "G" is the
       | Einstein curvature tensor and T is the stress-energy tensor. G
       | and T are really tensor _fields_ , which take on a value at every
       | point in a spacetime. T encodes the matter content at a given
       | point, and can represent incredibly complex "piles" of
       | interacting particles or matter field values.
       | 
       | The slogan form of this is, "moving matter generates curvature,
       | curvature moves matter". The result is that setting out
       | distribution of matter that obeys some dynamical laws generates
       | spacetime curvature. But there can additionally be "vacuum-
       | generated" curvature around which one might sprinkle some matter,
       | which would then be entrained into orbits or other trajectories
       | by that curvature. The latter is the approach used in the study
       | of theoretical black holes, for example. But also it's a good way
       | to understand the expansion of space: there is a "vacuum-
       | generated" expanding spacetime curvature, with galaxy clusters
       | distributed through it, and entrained into trajectories
       | principally by that curvature.
       | 
       | We can also look at trajectories, and with the assumption that
       | all matter falls the same way ("the universality of free-fall"),
       | recover the curvature, the distribution and dynamics of the
       | stress-energy, or both. This is quite common in astrophysical
       | settings, where one is trying to determine an equation of state
       | for a body like a white dwarf or a neutron star.
       | 
       | One of the problems that particle Dark Matter seeks to solve is
       | that gas and stars far from the centres of galaxies of do not
       | fall in faster than they do. Something holds them up, keeping
       | them on unexpected (non-Newtonian) trajectories. We can model
       | this by introducing extra complexity into the stress-energy
       | tensor, starting with something simple and abstract and drilling
       | down where evidence allows us to do so. One might write this as G
       | = f(T), some function on the dark-matter-free matter content
       | matches the curvature exactly. We can improve upon an initial
       | simple f() over time. But alternatively we can explore f(G) = T.
       | 
       | It's been known since the 1920s that the _relationship_ at the
       | core is pretty flexible: we can choose a background curvature
       | (flat spacetime, a black hole) and add matter and see what
       | happens, or we can start with a distribution of matter (and
       | dynamics) and see what it does to the Einstein curvature tensor.
       | We can (a) encode more and more complicated representations of
       | matter into the stress-energy tensor, and keep curvature simple.
       | Or instead, (b) we can adapt the curvature making the
       | "background" more and more complicated, and then sprinkle a
       | relatively simple distribution of matter on top.
       | 
       | (Particle) Dark Matter is mainly the (a) approach. We assume that
       | a galaxy's curvature is fairly simple in the bulk, lay out a
       | reasonable model of the bulk visible matter of a galaxy (and
       | electromagnetic radiation, and neutrinos), and then ask, "What
       | must we do to the stress-energy tensor so that we still generate
       | the observed trajectories of outermost matter (gas, dust,
       | stars)?".
       | 
       | MOND is mainly the (b) approach. There is an extremely simple
       | empirical law (from Mordehai Milgrom in 1981) that adapts
       | Newtonian gravitation to generate the non-Newtonian orbits of
       | outermost stars observed in most spiral galaxies. This _may_
       | translate into a function on the Einstein curvature tensor that
       | produces a  "background" in which a realistic description of a
       | galaxy's _visible_ matter (and electromagnetic radiation and
       | neutrinos) is kept from being flung out into intergalactic space.
       | The problem is that it turns out one cannot do this while keeping
       | General Relativity 's exact relationship between matter and
       | curvature, because keeping Milgrom's constant means matter at the
       | outsides of galaxies feels gravitation (and other interactions)
       | differently from matter in for example the solar circle (the part
       | of the Milky Way where we find our sun's orbit, about 8.5
       | kiloparsecs from the core), or in the central parsec.
       | 
       | I'll expand on this by quoting [1] (Stacey McGaugh, second
       | author, is a MOND proponent quoted in the aps.org article), "The
       | heart of GR is the equivalence principle(s), in its weak (WEP),
       | Einstein (EEP) and strong (SEP) form. The WEP states the
       | universality of free fall, while the EEP states that one recovers
       | special relativity in the freely falling frame of the WEP. These
       | equivalence principles are obtained by assuming that all known
       | matter fields are universally and minimally coupled to one single
       | metric tensor, the physical metric. It is perfectly fine to keep
       | these principles in MOND, although certain versions can involve
       | another type of (dark) matter not following the same geodesics as
       | the known matter, and thus effectively violating the WEP.
       | Additionally, note that the local Lorentz invariance of special
       | relativity could be spontaneously violated in MOND theories. The
       | SEP, on the other hand, states that all laws of physics,
       | including gravitation itself, are fully independent of velocity
       | and location in spacetime [...] This principle _has_ to be broken
       | in MOND. "
       | 
       | SEP also means WEP holds, and WEP requires that gravitational
       | mass and inertial mass are identical for all bodies including
       | self-gravitating ones like planets, stars, neutron stars, and so
       | on.
       | 
       | A few pages along [2], Famaey & McGaugh write, "It is perhaps
       | more important that, if MOND is correct in the sense of the
       | acceleration _a_0_ [Milgrom 's law's constant] being a _truly_
       | fundamental quantity, the strong equivalence principle cannot
       | hold anymore, and local Lorentz invariance could perhaps be
       | spontaneously violated too. "
       | 
       | That is, relativistic MOND generally means you lose the guarantee
       | of Special Relativity holding in a small neighbourhood around
       | every point in spacetime, which is liable to affect tests of the
       | Standard Model of Particle Physics (which has that guarantee
       | fundamentally baked in). Worse than that, with SEP violation, in
       | general laws of physics _must_ vary depending on a probe 's
       | proximity to mass, particularly probed bodies' response to
       | acceleration. This is awkward given recent astrophysical evidence
       | supporting the SEP (e.g. [3]).
       | 
       | In order to accord with evidence in favour of the SEP, one has to
       | do some handstands, adding complexity to the function on
       | curvature.
       | 
       | Of note to experts is Skordis & Zlosnik p. 5: "The vector in (5)
       | does not seem to obey gauge invariance but in the quadratic
       | action (13) it does so through mixing with diffeomorphisms of
       | h_munu" and "The resulting action is that of the gauged ghost
       | condensate (GGC) [122] or bumblebee field [123, 124] which has
       | been proposed as a healthy gauge-invariant theory of spontaneous
       | Lorentz violation."
       | 
       | from which one can jump into
       | https://en.wikipedia.org/wiki/Bumblebee_models#Nambu%E2%80%9...
       | (which is decently encyclopedic) and relate that to the quote at
       | the top's argument that in a relativistic MOND, either Special
       | Relativity isn't a guarantee in the small neighbourhood around
       | every point (it _is_ guaranteed by General Relativity, and is
       | highly tested) or we recover it by adding more fields to the
       | replacement of the \Lambda-equipped Einstein-Hilbert action.
       | 
       | I gather the idea is to suppress significant violations of the
       | Strong Equivalence Principle, and to do so by adding yet more
       | degrees of freedom.
       | 
       | From Famaey & McGaugh again [at [2]], "it is true that it would
       | be more elegant to avoid too many additional degrees of freedom",
       | which we can relate to K Freese's quote in the aps.org article.
       | 
       | Finally, quoting Skordis & Zlosnik again, "Studies of MOND with
       | galaxy clusters [...] report that either _a_0_ is larger in
       | clusters and /or an additional dark component is necessary _even
       | when the MOND prescription is used_ [...] the theory presented
       | here has additional features warranting its separate testing with
       | clusters. " [Emphasis mine]
       | 
       | - --
       | 
       | [1] Famaey & McGaugh https://arxiv.org/abs/1112.3960 SS7 p. 88.
       | 
       | [2] ibid., SS10 p. 122
       | 
       | [3] Scott Ransom's 2014 slides on PSR J0337+1715
       | https://websites.utdallas.edu/nsm/texas2013/proceedings/1/2/...
       | 
       | later detailed observations (Ransom, Stairs, Archibald et al
       | 2014) https://doi.org/10.1038%2Fnature12917 ==
       | https://arxiv.org/abs/1401.0535
       | 
       | test of Strong Equivalence Principle (Archibald et al 2018)
       | https://doi.org/10.1038%2Fs41586-018-0265-1 ==
       | https://arxiv.org/abs/1807.02059
        
         | AnimalMuppet wrote:
         | Wow. Impressive work. Thank you!
         | 
         | One nit:
         | 
         | > "moving matter generates curvature, curvature moves matter".
         | 
         | Doesn't stationary matter generate curvature also? (Though
         | moving matter can generate _additional_ curvature...)
         | 
         | Or am I missing something?
        
         | tragictrash wrote:
         | You are a scholar and gentleman, thank you.
        
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