12 ms·
New dark matter map reveals cosmic mystery
- fifticon 5y agoI am aware I have almost no knowledge about dark matter in physics, but whenever it's mentioned, I can't help but think that our modern 'dark matter', is the 'ether of the 21st century'. That is, an interrim scientific theory that will eventually be completely replaced by revisions of our physics.
- caymanjim 5y agoI think most academics studying dark matter are pretty upfront about not knowing what it is. The theories with the most fans tend to not be very specific about the source, but agree that it's most likely an "unknown something" with mass that causes gravity. There are some theories like MOND that instead postulate that there's no missing mass, but that our understanding of gravity needs to be altered at galactic scales. In any case, it's a placeholder, not a specific theory. There are many candidate theories, but so far they're either untestable or the tests have had negative outcomes.
- UnpossibleJim 5y agoJust to put it in context, I'll share one of my favorite (even though I think it's one of the more outlandish and less accepted): In the Multiverse/Multidimensional universe theory, all of these dimensions aren't necessarily in different universes. Some are of different dimensions, laid over top of ours, but we can't see them because we can't perceive the dimensions they exist in. The only dimension that bleeds into ours, that we can track so far, is gravity. This is what we call "Dark matter". It is actually gravity leaking over from an "Nth" dimension laid over our own that we can't perceive. Again, as to the veracity I can't say. And I wish I remembered to author, but I don't =/ maybe I'll look it up later and make an annotation.
- 867-5309 5y agosounds like Brane Cosmology https://en.wikipedia.org/wiki/Brane_cosmology https://en.wikipedia.org/wiki/Brane_cosmology
- Hemospectrum 5y agoYou've got plenty of scientists as company. There are cute names like WIMP and MOND for different types of hypotheses about what the heck dark matter actually is, or how to explain what's going on if it doesn't exist at all. Each of these is a huge headache for astrophysicists in one respect or another.
- deleted 5y ago[deleted]
- passivate 5y agoBut in modern science we differentiate between facts/hypotheses/laws/theories. What you're referring to is a hypothesis - and those should be replaced with a more concrete explanation - once we have it. I don't quite understand your point about connecting it to ether though. I can't think of any established theory in modern science that was completely replaced - but I'm not a physicist either.
- interestica 5y ago> 'ether of the 21st century' Or 'caloric' or 'phlogiston' https://en.wikipedia.org/wiki/Superseded_theories_in_science https://en.wikipedia.org/wiki/Superseded_theories_in_science
- generalizations 5y agoI mean, the name is literally 'the stuff we can't see'. Dark matter is very much just a question mark looking for an explanation.
- iainmerrick 5y agoThe word “stuff” there is exactly the point. It’s a lot more specific than “just a question mark” -- the hypothesis is that it’s some exotic form of matter. If something like MOND gains popularity and there’s no longer a need to postulate invisible matter, it would be fair to say that dark matter is incorrect and outdated, just like ether or phlogiston.
- generalizations 5y agoThat would be fair. However, from what I've read MOND is relatively unlikely. If its proponents can address the biggest difficulties (e.g. not every galaxy appears to have "dark matter") and make it somewhat more feasible, then I'd agree the name is insufficiently broad.
- dnautics 5y agoNot really, MOND and the like falls into the category of "dark matter theory", and that's the problem with the name.
- pdonis 5y ago> MOND and the like falls into the category of "dark matter theory" No, it doesn't. See my response to your other post upthread about the two hypotheses. "Dark matter" is one hypothesis; "MOND" and friends are the other.
- raattgift 5y agoNo, it is unfair to call MOND (and at least much of "the like") as a dark matter theory, because it manifestly generates a solution (or solutions) in the absence of any matter at all. MOND is characterized by an interpolating function between its fundamental constant a_0 and acceleration, such that in the "deep-MOND" regime, F = m \frac{a^2}{a_0} rather than Newton's F = ma. Both MOND and Newton work in everywhere-vacuum, and in everywhere-vacuum perturbed by a point mass. Neither the vacuum case nor the point mass case qualifies as a "dark matter theory" any more than the vacuum Schwarzschild solution of General Relativity does. These are model universes where one can calculate a Gauss law for gravity. MOND would behave differently for deep deep extragalactic space with small icy body moving around a large gassy body than Newton would, or than we would get from e.g. a roughly Einstein-de Sitter solution. Milgrom has pursued several relativistic corrections to the simple MOND formula, and they generally allow for solutions where the stress-energy tensor is everywhere 0, and everywhere 0 except for one point. Milgrom originated MOND. He has collected numerous thoughts and many links at http://www.scholarpedia.org/article/The_MOND_paradigm_of_modified_dynamics http://www.scholarpedia.org/article/The_MOND_paradigm_of_mod... When applied to large systems like galaxies and especially galaxy clusters, Milgrom's corrections may be insufficient, and other corrections (catalogued well in https://arxiv.org/abs/1112.3960 https://arxiv.org/abs/1112.3960 section 7). Several of these are very hard to make work with the stress-energy tensor everywhere zero, and those (certainly not all of them) one might ungraciously call "just another dark matter theory". On the other hand, several of these theories admit plausible gravitational radiation in the total absence of matter, just as does General Relativity. (Gravitational radiation is not a feature of Newton or the simple original Milgrom formula.) McGaugh runs tritonstation and is a well known sceptic of particle dark matter. Relativistic dark matter theories deliberately introduce nonzeros into the stress-energy tensor. You need a distribution of dark matter and trace out how that generates curvature, or you don't have a (relativistic) dark matter theory. You can also of course set out a distribution of cold dark matter and see how it behaves under F = ma or F = m \frac{a^2}{a_0}. Neither MOND nor Newton requires dark matter; likewise neither MOND nor Newton is incompatible with dark matter. Likewise, General Relativity doesn't require dark matter. But one gets more physically realistic solutions at a wide range of scales when one adds dark matter to a defined large-scale distribution of matter and radiation. MOND or the various attempts at generally covariant Milgrom gravitation would also behave differently when one adds dark matter to a large-scale distribution of matter and radiation. That is unlikely to produce more physically realistic solutions to a wide range of scales, however. Indeed, Milgrom et al's most concrete argument is that their formula for gravitation is worse if one adds in a distribution of dark matter, and that their formula is better than e.g. a Lemaître-Tolman-Bondi solution equipped with a distribution of cold dark matter. That's as much a non-dark-matter theory as I think it is possible to have!
- da_chicken 5y agoI mean, we need to have a convenient term for a phenomenon even if we don't understand it. What's the alternative? "The unnamed phenomenon were some astronomic bodies behave as though a vast quantity of matter were affecting them but that matter can't be otherwise detected or identified"? In medicine, they often call it a "syndrome". A collection of symptoms that together form a known pattern that is often closely associated with a disease or disorder but has no understood cause or origin (although some syndromes continue to be called that after they are better understood). How do you think we arrived at terms like "planets"? We noticed that some stars in the sky moved around while the rest didn't, and we called them "wandering stars". We still call them "atoms" even though that word means "indivisible". Weather is full of such names: rain, thunder, lightning, wind, morning glory, dew, tornado, rainbow, etc. All these words for material phenomenon existed long before we knew how they worked. So what's wrong with "dark matter" as a name?
- colordrops 5y agoI didn't read a negative judgment of the term in the grandparent comment, just an observation.
- da_chicken 5y agoYes, and I'm challenging that observation. "Making an observation" doesn't mean you're not subject to criticism or questioning.
- burnished 5y agoYou haven't meaningfully challenged anything they said, though. Your thing was an odd rant about the need to name things (not a hot take), and theirs seemed more focused, well >>That is, an interrim scientific theory that will eventually be completely replaced by revisions of our physics.
- deleted 5y ago[deleted]
- hitpointdrew 5y agoI also have almost no knowledge about dark matter in physics, and maybe I am a complete moron. But what do you think is more likely, there is this matter out there that no one has been able to find in decades of searching, or the mainstream assumptions/math on gravity are wrong/incomplete? I am going with the later.
- mr_mitm 5y agoIt's interesting that this sentiment almost exclusively comes from people with almost no knowledge about dark matter. What do you think is more likely, there is a theory that makes all observations look exactly like there is invisible matter without actually being invisible matter, or that there is invisible matter? I am going with the latter. I also do not understand why laypeople are of the opinion that all massive particles must interact electromagnetically. If you are open to the idea that there is a massive particle that doesn't, you got dark matter.
- jug 5y agoMOND theories etc. like this has fallen kind of out of favor because it’s just so hard to adapt our theory of gravity to resolve this. It’s surprising how often this topic pops up. I think it’s based on a misjudgment that simply missing something in gravity follows Occams Razor better but it actually seems to be the opposite. I think the killer is that dark matter seems to not just hold galaxies together (given their “too high” rotational speeds), but also clump together, and also sometimes be missing in galaxies and other times overwhelm galaxies. It’s super hard to adapt the well proven theory of gravity to especially localized phenomena.
- pdonis 5y ago> what do you think is more likely, there is this matter out there that no one has been able to find in decades of searching, or the mainstream assumptions/math on gravity are wrong/incomplete? You are mis-stating the real issue here. The distribution of matter is already a free parameter in our current theory of gravity, General Relativity. GR in no way requires that all matter be visible to humans. The "no one has been able to find" thing is not a problem for GR, it's a problem for the Standard Model of particle physics, which does not contain any particles that dark matter could be made out of. But most physicists already believe that there are more kinds of particles than the SM describes, we just haven't figured out how to make them in accelerators so we can study them in a controlled experimental fashion, and we haven't figured out any "smoking gun" signature that will tell us if such particles exist out there in the universe. "Dark matter" is really just a name for those kinds of particles that are already believed to exist anyway, we just can't detect them with the technology we currently have. But the technology we currently have is very limited. So the real question you should be asking is, what do you think is more likely, that there are particles that aren't included in the Standard Model of particle physics--which is already believed to be the case anyway--or that General Relativity is wrong in its description of the dynamics of galaxies, even though this is a domain in which GR has already passed stringent experimental tests with predictions accurate to many decimal places? I'm going with the former.
- salty_biscuits 5y agoAs a counterpoint, Neptune and Pluto were "dark matter" prior to confirmation with observations. They were theorized to exist due to their perturbations to observed motion of known planets.
- dnautics 5y agoWell by that token so was the discrepancy in the precession of mercury (which was not, as it turns out,matter).
- pdonis 5y ago> so was the discrepancy in the precession of mercury No, it wasn't, because, as you note, that observation was accounted for by adopting new laws of gravity, not by adding more matter to the distribution of matter we used in our model. Those are two different things.
- nimish 5y agoIt was thought for decades the anomalous precession of Mercury could be due to matter, including an entirely new planet, Vulcan.
- pdonis 5y agoYes, that was one hypothesis, but it didn't turn out to be the correct one. The correct hypothesis was that Newtonian gravity was wrong and had to be replaced by General Relativity. That hypothesis is not a "dark matter" hypothesis. But the poster I was responding to, dnautics, is claiming (not just here but elsewhere in this thread) that it is.
- dnautics 5y agoThat's exactly the point. It was a dark matter hypothesis until they found out it wasn't actually matter. Physicists couldn't go back in time and tell themselves, hey, this isn't actually matter. By analogy suppose we find out in 35 years that some non-lambda-cdm, non-particle theory is correct? It would be revisionist to say we didn't believe in dark matter today.
- claytongulick 5y agoEven "Ether" has come back around a bit in certain circles. It's not called that anymore, I think it's called the "Grid" or something similar. Milo Wolff discusses some of this in his WSM theories, IIRC.
- mr_mitm 5y agoExcept the very first experiment that was supposed to confirm the ether showed that there is no ether, while every astrophysical observation we made on any scale [1] confirmed that there is dark matter. [1] https://www.twitter.com/seanmcarroll/status/1371141258236764160?lang=de https://www.twitter.com/seanmcarroll/status/1371141258236764...
- dnautics 5y agoWe don't have any confirmation that it exists, we have more observations that Newton's law is wrong. Moreover, these observations collectively are unimodal; to date we only have observations of more gravitational discrepancies, not corroborating phenomena which correlate to the existing discrepancies.
- pdonis 5y ago> we have more observations that Newton's law is wrong No, we don't. We have observations that show that the motion of stars in galaxies is not what we would predict if we used our current laws of gravity with a distribution of matter that matches just what is visible to us. There are two possible hypotheses to explain these observations: (1) There is matter present that is not visible to us; (2) Our current laws of gravity are wrong and need to be modified. "Dark matter" is basically a name for #1; "MOND" and similar models are in category #2.
- bopbeepboop 5y agoWhat do you mean? Aether theories are the dominant model (“quantum fields” are renamed aethers), and we’ve directly detected aether waves with a scaled up version of the original experiment — which turned out not to be sensitive enough, because the aether is squishy rather than firm. LIGO is literally Michelson-Morley, but larger. Most of modern science is based on the techniques of Michelson-Morley. It’s a nearly prescient experiment — and it says more about us psychologically than the world at large we remember it as “wrong” rather than “not accurate enough”. LIGO proved them right. https://physics.mit.edu/wp-content/uploads/2021/01/physicsatmit_09_whatisspace_wilczek.pdf https://physics.mit.edu/wp-content/uploads/2021/01/physicsat...
- keithnz 5y agoSabine is a great science (physics) communicator to the "masses", she recently did an update on dark matter. https://www.youtube.com/watch?v=4_qJptwikRc https://www.youtube.com/watch?v=4_qJptwikRc
- Hypx_ 5y agoSummary: Both dark matter and modified gravity are true. Could be caused by wave-particle duality.
- RedComet 5y agoEther very much exists. Its just now referred to as emptiness or "the vacuum of space".
- Ono-Sendai 5y agoAlso known as fields (as in fields from quantum field theory)
- 1_player 5y agoIt doesn't. Aether was supposed to be an element, substance that filled the emptiness of space, not the emptiness itself.
- RedComet 5y agoYou seem to be mistakenly conflating the modern conception of chemical elements with classical philosophical notions of elements.
- megablast 5y ago>I am aware I have almost no knowledge about dark matter in physics Thank you for introducing your comment like this so I can give it the true weight it deserves.
- mellosouls 5y agoMostly mysterious here is the detail from unconnected parties as to the significance of the supposed deviation. It reads mostly like a puff piece from an academia PR person. Way too vague in the article itself.
- _rpd 5y agoTo be fair, there were 30 new papers published: https://www.darkenergysurvey.org/des-year-3-cosmology-results-papers/ https://www.darkenergysurvey.org/des-year-3-cosmology-result... The overview paper appears to be this one: https://www.darkenergysurvey.org/wp-content/uploads/2021/05/desy3_3x2_results.pdf https://www.darkenergysurvey.org/wp-content/uploads/2021/05/... (the first published paper at the bottom of the page. I'd have posted the title and abstract, but they've disabled copy-paste.)
- motloch 5y agoYeah, as a cosmologist my reading of the DES results is exactly the opposite than what the article mentions - new DES results seem to show that one mystery (low values of S_8 in the low redshift measurements) was actually resolved.. See the bottom of their Fig 14 in https://www.darkenergysurvey.org/wp-content/uploads/2021/05/desy3_3x2_results.pdf https://www.darkenergysurvey.org/wp-content/uploads/2021/05/... The problem was that the green (CMB/Planck) and gray (weak lensing) curves in the past were not overlapping as well as they are now. To me the tension seems to mostly go away now.
- OldGoodNewBad 5y agoDark matter is the name for compound mathematical errors based upon poor assumptions. We can't re-examine fundamental constants or established theories, so we'll be kludging around forever with this. It's not really important though because the practical application of cosmology is nil.
- Analog24 5y agoThis is incredibly ignorant and pretty arrogant to actually think that you know better than thousands of researchers who presumably know far more about this than you. There are numerous independent and unrelated pieces of evidence that point to the existence of dark matter. You honestly think they're all the result of mathematical errors that just so happen to all point to the same conclusion? That would be quite a coincidence.
- EthanHeilman 5y agoDark matter could be due to some fundamental mathematical or measurement error that is deep enough to cross multiple independent research efforts. However given the lack of evidence for it, such an error seems unlikely but not unthinkable.
- Analog24 5y agoAs I said, it would be a huge coincidence. And no, this could not be due to a measurement error for the reason I already states: there are numerouse indpenedent observations, of completley different consequences of dark matter that all point to the same thing. At this point you can safely say it's statistically impossible to chalk this up to measurement error. I will concede that is possible that it could be due to an error in our understanding of the laws of physics at such large scales but the current evidence does not favor this conclusion.
- ggggtez 5y ago> practical applications are nil It's 80% of mass on the universe. You don't think that has applications in space travel? Maybe it doesn't effect your day to day life, but it's rather ridiculous to say there is no applications at all.
- tooltower 5y agoAnother article in the Guardian: https://www.theguardian.com/science/2021/may/27/astronomers-create-largest-map-universe-dark-matter-einstein https://www.theguardian.com/science/2021/may/27/astronomers-...
- floxy 5y agoOff topic a little bit, but has anyone checked the work of the guy who was trying to explain galactic rotation curves using general relativity and gravitomagnetism? Which would lessen the need for dark matter. https://link.springer.com/article/10.1140/epjc/s10052-021-08967-3 https://link.springer.com/article/10.1140/epjc/s10052-021-08... https://news.ycombinator.com/item?id=26442021 https://news.ycombinator.com/item?id=26442021
- nimish 5y agoThe math is correct. Linearized GR and Newtonian gravity are qualitatively and quantitatively different and at "relativistic" scales we should probably see a difference! I don't have the cosmology background to evaluate more than that unfortunately; it's just that the "Standard Model" of cosmology uses a toy solution of GR (FLRW + newton). That said, it'd be wild if any major case of dark matter is just an artifact of incorrect approximations.
- knzhou 5y agoGravitomagnetism 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. The main thing the paper should do is explain why they think the correction is a million times larger than the back of the envelope estimate. But they don't. Instead, they try to solve everything analytically, never plugging in numbers or reasoning about what's big or small, leading to a forest of long combinations of special functions. That's a reliable recipe for making a mistake. 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.
- the8472 5y agoThanks, I assume the same cricitcism also applies to other applying-GR-corrections papers? E.g. I saw one about gravitational self-interaction leading to concentrating gravity inside galaxies and starving the outside or something like that.
- aaroninsf 5y agoPet theory: "dark matter" is gravitation leaking from adjacent universes, in specific, from the juxtaposition of many divergent universes. Most diverge in trivial ways, so dark matter concentration is correlated with where matter is in our universe. Some relatively few diverge more drastically, so there is a background. As someone outside the field I remain curious if there are reasons this is inconsistent with observations to date, for some models of the multi-world hypothesis.
- hef19898 5y agoFlying through hyperspace is not like flying over fields. Said one famous pilot doing the Kessel Run in less than 12 parsecs. Maybe Dark Matter is the real space shadow of stuff in hyperspace the same way real space stuff has shadows in hyperspace. Seriously, I cannot judge this level of physics, or just understand them. It would make a nice addition to Star Wars lore so.
- pdonis 5y ago> for some models of the multi-world hypothesis What "multi-world hypothesis" are you talking about?
- jfengel 5y agoYes, it's inconsistent with observation. 1. It would tend to imply dark matter having the same shape as the matter in galaxies. It doesn't. So it doesn't explain the galactic rotation curves, which is the whole reason we hypothesized dark matter in the first place. 2. It doesn't explain the Bullet Cluster. 3. It doesn't match why some galaxies have more dark matter than others. 4. It doesn't explain Baryon Acoustic Oscillations.
- grenoire 5y agoIt looks fascinatingly close to Perlin noise in its cloudiness.
- mturk 5y agoWhen generating cosmological initial conditions for use in simulations of large-scale structure, one common method is to utilize random numbers (distributed about a known power spectrum) in k-space and then transforming back to real space. Some details can be found here: https://enzo.readthedocs.io/en/enzo-2.3/_downloads/makeics.pdf https://enzo.readthedocs.io/en/enzo-2.3/_downloads/makeics.p...
- miohtama 5y agoWhat is the projection used to display ”the Universe” maps? What is the left edge, the right edge, etc. They seem to be similar in all articles but I have no idea how map relates to e.g. a night sky?
- motloch 5y agoCheck out Fig 10 in https://www.darkenergysurvey.org/wp-content/uploads/2021/05/desy3_mass_mapping.pdf https://www.darkenergysurvey.org/wp-content/uploads/2021/05/...
- tshaddox 5y agoI believe that image in the news article is cropped from this: https://www.darkenergysurvey.org/wp-content/uploads/2021/05/y3_mass_map-1024x513.png https://www.darkenergysurvey.org/wp-content/uploads/2021/05/... I found that image on this page, which seems to the be web page created by this research group about this project: https://www.darkenergysurvey.org/des-year-3-cosmology-results-papers/ https://www.darkenergysurvey.org/des-year-3-cosmology-result... From what I can tell, it's a projection of a view from the night sky from one particular telescope on Earth. They sampled a bunch of galaxies in an area about one eighth of the night sky.
- Sharlin 5y agoThe background starfield appears, in fact, to be a projection of the entire celestial sphere, all 360°×180° of it, so only a half of it at most can be seen at a time from any point on Earth.
- Sharlin 5y agoThe illustration in the article ([1]) seems to be a (slightly cropped) Mollweide projection [2], in familiar equatorial coordinates such that the north pole is top center, south pole is bottom center, and the equator is a (imaginary) horizontal line in the middle. The region of acquired dark matter data is located in the southern hemisphere sky, which makes sense given that the observatories used were in Chile. At the bottom you can see the Magellanic Clouds, satellite galaxies of the Milky Way which can only ever be seen from the southern hemisphere. [1] https://ichef.bbci.co.uk/news/976/cpsprodpb/F39E/production/_118666326_widepic.jpg https://ichef.bbci.co.uk/news/976/cpsprodpb/F39E/production/... [2] https://en.wikipedia.org/wiki/Mollweide_projection https://en.wikipedia.org/wiki/Mollweide_projection
- gtsop 5y agoThe only mysteries here are: 1. The certainty that an infinite entity (universe) can be determined to have a very specific percentage (80%) of something (dark matter) 2. The fact that the big bang is still being considered and cited as the beginning (?) of the universe 3. That we have accepted terms such as "dark" matter and "dark" energy in science as if some witchcrafty comes into play, as if lord voldemort created the cosmos.
- junon 5y agoThe real mystery here is your point.
- gtsop 5y agoMy point is that contemporary physics is disoriented by hooking onto unftuitful notions
- junon 5y agoThat's a rather broad assertion. Can you elaborate?
- gtsop 5y agoLate reply, but just in case: It is indeed a broad assertion. If I could summarize it, I would say that physicists in general (from the prism of the public view) is oriented towards "initial" and "final" states of time and space rather than infinite processes. E.g "big bang" and "heat death" as the start and end of everything. At the same time physics has given an insane amount of effort on the gravitative qualities of the universe but not the repulsion ones. We've known for centuries that for each - there is a +. We've spent so much time on figuring out mass/gravity, the (+) . Where is the - in the universe? We detect a gravitational effect of unknown source: let's throw in there some imaginary dark matter (since we're so familiar with it's gravitational attributes) instead of making a hypothesis that an opposite force might come in play here. You get my point? Finate, measurable, terminal states and one-sided forces instead of infinite processes and interraction of completely opposite forces: that's the general oriantation of where i see physics going despite the myriads of hints the universe gives us to search in the opposite way.
- chadcmulligan 5y agoMy theory is dark matter is the shadow of angels, there's more of it where new galaxies are forming because there's more angels there building the galaxies :-). Here's a movie of it in progress https://youtu.be/1x3RRrqJWKA https://youtu.be/1x3RRrqJWKA I know this will get downvoted, but wouldn't it be funny if it turned out to be angels and we're looking at heaven. It's possible.
- jjcon 5y agoI wish I could be as open minded as you, maybe one day
- chadcmulligan 5y agoWell thank you, I keep my more wacky theories to myself :-)
- EthanHeilman 5y agoI know you got downvoted into oblivion but I enjoyed that short movie. It changed the way I look at the moon. Thanks for sharing.
- chadcmulligan 5y agoGlad you liked it, here's another in a similar vein - Abiogenesis - https://www.richardmans.com/film https://www.richardmans.com/film. The amount of work that goes into these for no chance of profit always amazes me.
- bpiche 5y agoI upvoted you. It's almost more plausible than the existence of a ton of tiny leptons that don't interact with the rest of the universe at all..
- ccvannorman 5y ago:D :D T_T