Darkish matter stays undetected within the laboratory. This has been true for eternally, so I don’t know what drives the timing of the latest spate of articles encouraging us to maintain the religion, that darkish matter remains to be a greater concept than anything. This will depend on how we outline “higher.”
There’s a long-standing debate within the philosophy of science in regards to the relative deserves of lodging and prediction. A scientific idea ought to have predictive energy. It must also clarify all of the related information. To do the latter nearly inevitably requires some flexibility to be able to accommodate issues that didn’t prove precisely as predicted. What’s the right combination? Can we lean extra in the direction of prediction, or lodging? The reply to that defines “higher” on this context.
One of many latest articles is titled “The darkish matter speculation isn’t excellent, however the options are worse” by Paul Sutter. This completely encapsulates the selection one has to make in what’s unavoidably a worth judgement. Is it higher to accommodate, or to foretell (see the Spergel Precept)? Dr. Sutter comes down on the facet of lodging. He notes a few failed predictions of darkish matter, however mentions no particular predictions of MOND (profitable or not) whereas concluding that darkish matter is healthier as a result of it explains extra.
One essential precept in science is objectivity. We ought to be even-handed within the analysis of proof for and in opposition to a idea. In observe, that could be very troublesome. As I’ve written earlier than, it made me offended when the predictions of MOND got here true in my information for low floor brightness galaxies. I wished darkish matter to be proper. I felt positive that it needed to be. So why did this silly MOND idea have any of its predictions come true?
One strategy to examine your objectivity is to take a look at it from each side. If I placed on a darkish matter hat, then I largely agree with what Dr. Sutter says. To cite one instance:
The darkish matter speculation isn’t excellent. However then once more, no scientific speculation is. When evaluating competing hypotheses, scientists can’t simply go together with their guts, or decide one which sounds cooler or appears less complicated. Now we have to comply with the proof, wherever it leads. In nearly 50 years, no one has give you a MOND-like idea that may clarify the wealth of knowledge we now have in regards to the universe. That doesn’t make MOND improper, but it surely does make it a far weaker various to darkish matter.
Paul Sutter
OK, so now let’s placed on a MOND hat. Can I make the identical assertion?
The MOND speculation isn’t excellent. However then once more, no scientific speculation is. When evaluating competing hypotheses, scientists can’t simply go together with their guts, or decide one which sounds cooler or appears less complicated. Now we have to comply with the proof, wherever it leads. In nearly 50 years, no one has detected darkish matter, nor give you a darkish matter-based idea with the predictive energy of MOND. That doesn’t make darkish matter improper, but it surely does make it a far weaker various to MOND.
So, which of those statements is true? Properly, each of them. How can we weigh the assorted traces of proof? Is it extra essential to elucidate a big number of the information, or to have the ability to predict a few of it? This is among the nice challenges when evaluating darkish matter and MOND. They’re incommensurate: the set of related information just isn’t the identical for each. MOND makes no pretense to supply a idea of cosmology, so it doesn’t even try to elucidate a lot of the information so beloved by cosmologists. Darkish matter explains all the things, however, broadly outlined, it’s not a idea a lot as an inference – assuming gravitational dynamics are inviolate, we want extra mass than meets the attention. It’s a traditional case of evaluating apples and oranges.
Whereas darkish matter is a imprecise idea normally, one can construct particular theories of darkish matter which are predictive. Simulations with generic chilly darkish matter particles predict cuspy darkish matter halos. Galaxies are thought to reside in these halos, which dominate their dynamics. This overlaps with the predictions of MOND, which comply with from the noticed distribution of regular matter. So, do galaxies appear to be tracer particles orbiting in cuspy halos? Or do their dynamics comply with from the noticed distribution of sunshine through Milgrom’s unusual method? The related subset of the information very clearly point out the latter. When head-to-head comparisons like this may be made, the a priori predictions of MOND win, arms down, over and over. [If this statement sounds wrong, try reading the relevant scientific literature. Being an expert on dark matter does not automatically make one an expert on MOND. To be qualified to comment, one should know what predictive successes MOND has had. People who say variations of “MOND only fits rotation curves” are proudly proclaiming that they lack this knowledge.]
It boils all the way down to this: if you wish to clarify extragalactic phenomena, use darkish matter. If you wish to make a prediction – prematurely! – that may come true, use MOND.
Loads of the controversy comes all the way down to claims that something MOND can do, darkish matter can do higher. Or no less than as nicely. Or, if not as nicely, ok. This is the reason conventionalists are all the time harping about suggestions: it’s the deus ex machina they invoke in any scenario the place they should clarify why their prediction failed. This does nothing to elucidate why MOND succeeded the place they failed.
This post-hoc reasoning is profoundly unsatisfactory. Darkish matter, being invisible, permits us a lot of freedom to cook dinner up a proof for just about something. My long-standing concern for the darkish matter paradigm just isn’t the failure of any specific prediction, however that, like epicycles, it has too a lot explanatory energy. We might use it to elucidate just about something. Rotation curves flat when they need to be falling? Add some darkish matter. No such want? No darkish matter. Rising rotation curves? Positive, we might clarify that too: add extra darkish matter. Solely we don’t, as a result of that scenario doesn’t come up in nature. However we might if we needed to. (See, e.g., Fig. 6 of de Blok & McGaugh 1998.)
There isn’t a requirement in darkish matter that rotation curves be as flat as they’re. If we begin from the prior data that they’re, then after all that’s what we get. If as an alternative we independently attempt to construct fashions of galactic disks in darkish matter halos, only a few of them wind up with lifelike wanting rotation curves. This shouldn’t be stunning: there are, in precept, an uncountably infinite variety of combos of galaxies and darkish matter halos. Even when we impose some smart restrictions (e.g., scaling the mass of 1 element with that of the opposite), we nonetheless don’t get it proper. That’s one purpose that we now have so as to add suggestions, which suffices based on some, and never based on others.
In distinction, the predictions of MOND are distinctive. The kinematics of an object comply with from its noticed mass distribution. The 2 are tied collectively by the hypothesized power regulation. There’s a one-to-one relation between what you see and what you get.
This was not anticipated in darkish matter. It is not sensible that this ought to be so. The baryonic tail mustn’t wag the darkish matter canine.
From the attitude of constructing darkish matter fashions, it’s just like the proverbial needle within the haystack: the haystack is the amount of doable baryonic disk plus darkish matter halo combos; the one which “seems like” MOND is the needle. Someway nature plucks the MOND-like needle out of the darkish matter haystack each time it makes a galaxy.
Dr. Sutter says that we shouldn’t go together with our intestine. That’s precisely what I wished to do, way back, to take care of my desire for darkish matter. I’d love to do this now in order that I might cease having this argument with in any other case affordable individuals.
As an alternative of going with my intestine, I’m making a probabilistic assertion. In Bayesian phrases, the percentages of observing MONDian habits given the prior that we reside in a universe product of darkish matter are virtually zero. In MOND, observing MONDian habits is the one factor that may occur. That’s what we observe in galaxies, over and over. Any info criterion reveals a robust quantitative desire for MOND when dynamical proof is taken into account. That doesn’t occur when cosmological information are thought of as a result of MOND makes no prediction there. Concluding that darkish matter is healthier overlooks the sensible impossibility that MOND-like phenomenolgy is noticed in any respect. After all, as soon as one is aware of that is what the information present, it appears much more possible, and I can see that impact within the literature over the lengthy arc of scientific historical past. This is the reason, to me, predictive energy is extra essential than lodging: what we predict earlier than we all know the reply is extra essential than no matter we make up as soon as the reply is understood.
The successes of MOND are typically minimized by lumping all galaxies right into a single class. That’s not appropriate. Each galaxy has a novel mass distribution; each is an unbiased check. The information for galaxies prolong over a big dynamic vary, from dwarfs to giants, from low to excessive floor brightness, from gasoline to star dominated instances. Dismissing this by saying “MOND solely explains rotation curves” is like dismissing Newton for under explaining planets – as if each planet, moon, comet, and asteroid aren’t unbiased checks of Newton’s inverse sq. regulation.

MOND does clarify extra that rotation curves. That was the very first thing I checked. I spent a number of years taking a look at all of the information, and have reviewed the scenario many occasions since. What I discovered stunning is how a lot MOND explains, in the event you let it. Extra disturbing was how typically I got here throughout claims within the literature that MOND was falsified by X solely to attempt the evaluation myself and discover that, no, in the event you trouble to do it proper, that’s just about simply what it predicts. Not in each case, after all – no speculation is ideal – however I ended bothering after a number of hundred instances. Actually lots of. I can’t sustain with each new declare, and it isn’t my job to take action. My expertise has been that as the information enhance, so too does its settlement with MOND.
Dr. Sutter’s article goes farther, repeating a typical false impression that “the tweaking of gravity below MOND is explicitly designed to elucidate the motions of stars inside galaxies.” That is an overstatement so sturdy as to be factually improper. MOND was explicitly designed to provide flat rotation curves – as was darkish matter. Nevertheless, there may be much more to it than that. As soon as we write down the power regulation, we’re caught with it. It has a lot of different unavoidable penalties that result in real predictions. Milgrom explicitly laid out what these penalties could be, and mainly all of them have subsequently been noticed. I embody a partial desk in my final assessment; it solely ends the place it does as a result of I needed to cease someplace. These have been real, profitable, a priori predictions – the gold normal in science. A few of them may be defined with darkish matter, however many can’t: they make no sense, and darkish matter can solely accommodate them because of its epic flexibility.
Dr. Sutter makes quite a lot of different fascinating factors. He says we shouldn’t “decide [a hypothesis] that sounds cooler or appears less complicated.” I’m undecided which appears cooler right here – a universe pervaded by a mysterious invisible mass that we are able to’t [yet] detect within the laboratory however nonetheless controls most of what goes on on the market appears fairly cool to me. That there may additionally be some basic side of the fundamental idea of gravitational dynamics that we’re lacking additionally looks as if a reasonably cool chance. These are purely worth judgments.
Simplicity, nonetheless, is a scientific worth referred to as Occam’s razor. The less complicated of competing theories is to be most well-liked. That’s clearly MOND: we make one adjustment to the power regulation, and that’s it. What we lack is a extensively accepted, extra basic idea that encapsulates each MOND and Common Relativity.
In darkish matter, we multiply entities unnecessarily – there may be further mass composed of unknown particles that haven’t any place within the Commonplace Mannequin of particle physics (which is sort of full up) so we now have to think about physics past the usual mannequin and maybe a complete darkish sector as a result of why only one particle when 85% of the mass is darkish? and there is also darkish photons to change forces which are solely lively at midnight sector in addition to whole hierarchies of darkish particles that possibly have their very own ecosystem of darkish stars, darkish planets, and possibly even darkish individuals. We, being a part of the “regular” matter, are only a minority constituent of this darkish universe; a negligible little bit of flotsam in comparison with the darkish sector. Doesn’t it make sense to think about that the darkish sector has as wealthy and various a set of phenomena because the “regular” sector? Positive – in the event you don’t thoughts abandoning Occam’s razor. Be aware that I didn’t make any of these things up; all the things I mentioned in that breathless run-on sentence I’ve heard mentioned by earnest scientists captivated with how cool the darkish sector might be. Bugger Occam.
There may be additionally the matter of timescales. Dr. Sutter mentions that “In nearly 50 years, no one has give you a MOND-like idea” that does all that we want it to do. That’s true, however for the typo. Subsequent yr (2023) will mark the fortieth anniversary of Milgrom’s first publications on MOND, so it hasn’t been half a century but. However I’ve heard recurring complaints to this impact earlier than, that discovering the deeper idea is taking too lengthy. Let’s study that, lets?
First, keep in mind some historical past. When Newton launched his inverse sq. regulation of common gravity, it was promptly criticized as a type of magical pondering: How, Sir, can you have got motion at a distance? The conception on the time was that you just needed to be in bodily contact with an object to exert a power on it. For the solar to exert a power on the earth, or the earth on the moon, appeared outright magical. Leibnitz famously accused Newton of introducing ‘occult’ forces. As a consequence, Newton was cautious to preface his description of common gravity as all the things taking place as if the power was his well-known inverse sq. regulation. The “as if” is doing lots of work right here, mainly saying, in fashionable parlance “OK, I don’t get how that is doable, I do know it appears actually bizarre, however that’s what it seems like.” I say the identical about MOND: galaxies behave as if MOND is the efficient power regulation. The query is why.
As close to as I can inform from studying the historical past round this, and I don’t know the way clear that is, but it surely seems prefer it took about 20 years for Newton to appreciate that there was a very good geometric purpose for the inverse sq. regulation. We anticipate our freshman physics college students to see that instantly. Clearly Newton was smarter than the typical freshman, so why’d it take so lengthy? Was he, maybe, preoccupied with the legitimate-seeming criticisms of motion at a distance? It’s laborious to see previous a basic stumbling block like that, and I’m wondering if the scenario now could be analogous. Maybe we’re lacking one thing now that may appears apparent on reflection, distracted by criticisms that may appear absurd sooner or later.
Many well-known scientists constructed on the dynamics launched by Newton. The Poisson equation isn’t named the Newton equation as a result of Newton didn’t give you it despite the fact that it’s basic to Newtonian dynamics. Similar for the Lagrangian. And the classical Hamiltonian. These developments got here many many years after Newton himself, and required the efforts of many good scientists built-in over lots of time. By that normal, forty years appears fairly quick: one doesn’t arrive at a idea of all the things in a single day.
What’s the proper measure? The built-in effort of the scientific neighborhood is extra related than absolute time. Over the previous forty years, I’ve seen lots of push again in opposition to even contemplating MOND as a professional idea. Don’t speak about that! This isn’t precisely encouraging, so not many individuals have labored on it. I can rely on my fingers the quantity of people that have made essential contributions to the theoretical growth of MOND. (I’m not one in every of them. I’m an observer following the proof, wherever it leads, even in opposition to my intestine feeling and to the manifest detriment of my profession.) It’s laborious to make progress and not using a crucial mass of individuals engaged on an issue.
After all, individuals have been searching for darkish matter for those self same 40 years. Extra, actually – if you wish to return to Oort and Zwicky, it has been 90 years. However for the primary half century of darkish matter, nobody was wanting laborious for it – it took that lengthy to gel as a major problem. These items take time.
However, for a number of many years now there was an unlimited quantity of effort put into all facets of the seek for darkish matter: experimental, observational, and theoretical. There may be and has been a crucial mass of individuals engaged on it for a very long time. There have been hundreds of proficient scientists who’ve contributed to direct detection experiments in dozens of huge underground laboratories, who’ve combed by information from X-ray and gamma-ray observatories searching for the telltale indicators of darkish matter decay or annihilation, who’ve checked for the direct manufacturing of darkish matter particles within the LHC; even theorists who proceed to hypothesize what the heck the darkish matter might be and the way we’d go about detecting it. This analysis has been nicely funded, with billions of {dollars} having been spent within the quest for darkish matter. And what do we now have to point out for it?
Zero. Nada. Zilch. Squat. A complete lot of nothing.
This is the same as the quantity of funding that goes to help analysis on MOND. There isn’t a quicker strategy to get a grant proposal rejected than to say good issues about MOND. So one the one hand, we now have a small variety of individuals engaged on the proverbial shoestring, whereas on the opposite, we now have an enormous neighborhood that has poured huge assets into the try to detect darkish matter. If we actually consider it’s taking too lengthy, maybe we should always attempt funding MOND as generously as we do darkish matter.
