Transcript
Q1bSDnuIPbo • How did they actually take this picture? (Very Long Baseline Interferometry)
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Kind: captions Language: en this video is sponsored by kiwiko more about them at the end of the show this is a picture of the supermassive black hole at the center of our milky way galaxy known as sagittarius a-star the black hole itself doesn't emit light so what we're seeing is the hot plasma swirling around it this is only the second picture of a black hole ever it was taken by the event horizon telescope collaboration the same people who brought you this image of the supermassive black hole at the center of galaxy m87 now their original plan was to image sagittarius a star first since it's in our own galaxy it is 2 000 times closer than m87 star but it's also over a thousand times smaller so from earth it appears only slightly larger than m87 star and there are a number of additional challenges to observing it first of all there is a lot of dust and gas between us and the center of our galaxy so you can't even see it with visible light in this video from the european southern observatory we zoom in on our galaxy's core as we get closer and closer at some point we have to switch over to infrared light which can better penetrate the debris allowing us to see it from earth over the past three decades we've been able to peer into the heart of the milky way and witness something truly amazing a collection of stars zipping around on all kinds of eccentric orbits they go incredibly fast one of the stars was clocked going 24 million meters per second that's 8 percent the speed of light all these stars appear to be orbiting something incredibly massive and compact but this object isn't glowing brightly like a star if you watch closely you can see it flicker now and then this is what we believe to be a supermassive black hole from the motion of the stars around it we can infer that the black hole's mass is about 4 million times that of our sun but all crammed down into a tiny point the singularity anything including light that comes within a short shield radius of this point can't escape and ends up in the singularity so for us to see any radiation from the black hole it must come from further out than this usually from superheated plasma as it falls in but for its size sagittarius a-star doesn't consume much matter it's unusually quiet and dark the supermassive black hole at the center of m87 in contrast is much more active gobbling up matter from its accretion disk plus since it's over a thousand times bigger it takes a thousand times longer for objects to orbit it and that means from earth its appearance over time is more consistent in contrast to sagittarius a-star where things can change on the order of minutes these visualizations are from luciano rizzola and colleagues at go to university frankfurt but the biggest challenge of all in making an image of either supermassive black hole is that these objects are so compact and so far from earth in the sky they appear very very tiny to get a sense of just how tiny take the whole sky and divide it into 180 degrees the andromeda galaxy spans about 3 degrees then divide 1 degree into 60 arc minutes and 1 arc minute into 60 arc seconds divide an arc second into 100 into 100 again and into 100 once more and this is the size of the black holes on the sky it's equivalent to taking a picture of a donut on the moon now there is no optical telescope on earth that could produce such an image so in this video i want to answer two questions how did they do it and what are we actually looking at so starting with how did they make these images of black holes well the first thing to know is they weren't made with visible light they were made using radio waves with a wavelength of 1.3 millimeters so all the observations were taken by radio telescopes which essentially look like huge satellite dishes when a source emits radio waves they travel out radially in all directions but earth is so far away that by the time they reach our planet the wave fronts are almost completely flat and parallel this is known as a plane wave a radio telescope works by scanning back and forth across the sky when it is pointed directly at a radio source it produces a bright spot that's because all the radio waves travel the same distance bounce off the dish and are received at the same time so they are in phase meaning peaks line up with peaks and troughs with troughs they constructively interfere as the telescope moves past the source some of the radio waves now travel farther than others and therefore they meet up out of phase destructively interfere and the intensity of the signal drops to zero to make a sharp image you want this drop-off to be as steep as possible so the telescope produces peak intensity only when aimed directly at the source and then the intensity drops rapidly when the dish is moved just a tiny bit in any direction there are two ways of achieving this one is to observe higher frequency radio waves that way any slight movement of the telescope represents a greater fraction of a wavelength this causes destructive interference to occur sooner the other way is to increase the diameter of the telescope this increases the difference in path length between radio waves on opposite sides of the telescope for a given angular adjustment how narrowly a telescope can identify the source of radio waves is known as its angular resolution you can think of it as the size of the spot on the sky that the telescope is sensitive to it is proportional to wavelength and inversely proportional to the diameter of the telescope the challenge with making a picture of a black hole is that you're trying to see the structure in a tiny area of the sky imagine scanning a radio telescope across the center of a black hole you would want to see the bright spot as the telescope passes over the left edge and then a dark spot and then another bright spot as it passes the right edge the problem is for any individual radio telescope on earth the angular resolution is too large so as it passes over the black hole it would still be receiving radio waves from the left side as it begins receiving radio waves from the right side the resolution isn't high enough to tell if there's a ring structure there as we'd expect with a black hole or if it's just a blob observing at shorter wavelengths isn't really an option because that light is blocked either by our atmosphere or by the matter around the black hole so if you want to improve resolution the only way you can do it is by increasing the diameter of the telescope but if you actually do the calculation you find that the telescope you'd need would have to be the size of the earth in order to see the ring of a black hole which is obviously impossible but there is a way to do something that's almost as good you don't need a complete dish the size of the earth just pieces of it individual radio telescopes that are separated by distances up to the earth's diameter as long as you can properly combine the signals from all these distant telescopes you get the constructive and destructive interference required to achieve the same angular resolution as an earth-sized dish this technique is called very long baseline interferometry so the event horizon telescope is not just one telescope but a global network of radio observatories all these telescopes observe sagittarius a-star at the same time unlike a single telescope you can't bounce all the radio waves to a central receiver and add them up in real time so instead each telescope records the signal at its location and the exact time down to the femtosecond petabytes of data are generated but now that data needs to be brought together the fastest way to do it was actually to carry hard drives as hand luggage to centralized locations now think about the data we've got electrical signals and precise timings from a number of radio telescopes around the world but none of those radio telescopes has enough angular resolution to see the ring of the black hole so how do you combine that data and get finer detail than any of the inputs well there is additional information in the relative distances between these telescopes and in the time delays between when a wave front hits one telescope relative to the others imagine combining the signals from two distant telescopes let's say they both received the same wave at the same time so those waves were coming in phase well then the source must have been located directly between them the radio waves would have traveled the same distance to each telescope to arrive at the same time except with just two telescopes that only narrows it down to a line in the sky that is equidistant from both telescopes the source could have been anywhere on that line and it's actually worse than that it's possible that the source could be exactly one wavelength closer to one of the telescopes and that way the radio waves would still arrive perfectly in phase where the difference could be two or three or four wavelengths but you get the point so from one pair of telescopes the information we get about the source is actually a series of bright and dark fringes telescopes that are close together produce wide fringes while those that are far apart produce narrow fringes so to make an image you need pairs of telescopes at all different orientations and different distances apart each pair makes a different interference pattern and then by combining all these patterns we get an image of the black hole which created them but now that we have this picture what exactly is it showing us well this is how i explained it when the first image of a black hole was released so here is my mock black hole of science and this sphere represents the event horizon once you're inside here there is no coming back not even for light the radius of the event horizon is known as the schwarzschild radius now if we were just to look at a black hole with nothing around it we would not be able to make an image like this because well it would just absorb all electromagnetic radiation that falls on it but the black hole that they're looking at has matter around it in an accretion disk in this secretion disk there is dust and gas swirling around here very chaotically it's incredibly hot we're talking millions of degrees and it's going really fast a significant fraction of the speed of light and it's this matter that the black hole feeds off and gets bigger and bigger over time but you'll notice that the accretion disk does not extend all the way in to the event horizon why is that well that's because there is an innermost stable circular orbit and for matter around a non-spinning black hole that orbit is at three short shield radii now in all likelihood the black hole at the center of our galaxy will be spinning but for simplicity i'm just considering the non-spinning case you can see my video on spinning black holes if you want to find out more about that so this is the innermost orbit for matter going around the black hole if it goes inside this orbit it very quickly goes into the center of the black hole and we never hear from it again but there is something that can orbit closer to the black hole and that is light because light has no mass it can actually orbit at 1.5 short shield radii now here i'm representing it with a ring but really this could be in any orientation so it's a sphere of photon orbits and if you were standing there of course you could never go there but if you could you could look forward and actually see the back of your head because the photons could go around and complete that orbit now the photon sphere is an unstable orbit meaning eventually either the photons have to spiral into the singularity or spiral out and head off to infinity now the question i want to answer is what does this black quote unquote shadow in the image correspond to in this picture of what's actually going on around the black hole is it the event horizon are we simply looking at this or is it the photon sphere or the innermost stable circular orbit well things are complicated and the reason is this black hole warps space time around it which changes the path of light rays so they don't just go in straight lines like we normally imagine that they do i mean they are going in straight lines but space time's curved so yeah they go in curves so the best way to think of this is maybe to imagine parallel light rays coming in from the observer and striking this geometry here of course if the parallel light rays cross the event horizon we'll never see them again so they're gone that will definitely be a dark region but if a light ray comes in just above the event horizon it too will get bent and end up crossing the event horizon it ends up in the black hole even a light ray coming in the same distance away as the photon sphere will end up getting warped into the black hole and curving across the event horizon so in order for you to get a parallel ray which does not end up in the black hole you actually have to go out 2.6 radii away if a light ray comes in 2.6 short shield radii away it will just graze the photon sphere at its closest approach and then it will go off to infinity and so the resulting shadow that we get looks like this it is 2.6 times bigger than the event horizon you say what are we really looking at here what is this shadow well in the center of it is the event horizon it maps pretty cleanly onto onto the center of this shadow but if you think about it light rays going above or below also end up crossing the event horizon just on the back side so in fact what we get is the whole back side of the event horizon mapped onto a ring on this shadow so looking from our one point in space at the black hole we actually get to see the entirety of the black holes event horizon i mean maybe it's silly to talk about seeing it because it's completely black but that really is where the points would map to on this shadow it gets weirder than that because the light can come in and go around the back and say get absorbed in the front you get another image of the entire horizon next to that and another annular ring and then another one after that and another one after that and you get basically infinite images of the event horizon as you approach the edge of this shadow so what is the first light that we can see it is those light rays that come in at just such an angle that they graze the photon sphere and then end up at our telescopes and they produce a shadow which is 2.6 times the size of the event horizon so this is roughly what we'd see if we happen to be looking perpendicular to the accretion disk but more likely we will be looking at some sort of random angle to the accretion disk we may be even looking edge on and in that case do we see this shadow of the black hole you might think that we wouldn't but the truth is because of the way the black hole warps space-time and bends light rays we actually see the back of the accretion disk the way it works is light rays coming off the accretion disk bend over the top and end up coming to our telescopes so what we end up seeing is something that looks like that similarly light from the bottom of the accretion disk comes underneath gets bent underneath the black hole and comes towards us like that and this is where we get an image that looks something like the interstellar black hole it gets even crazier than this because light that comes off the top of the accretion disk here can go around the back of the black hole graze the photon sphere and come out the bottom right here producing a very thin ring underneath the shadow similarly light from underneath the accretion disk in the front can go underneath and around the back and come out over the top which is why we see this ring of light here this is what we could see if we were very close to the black hole something that looks truly spectacular one other really important effect to consider is that the matter in this secretion disc is going very fast close to the speed of light and so if it's coming towards us it's going to look much brighter than if it's going away that's called relativistic beaming or doppler beaming and so one side of the secretion disk is going to look much brighter than the other and that's why we're going to see a bright spot in our image so hopefully this gives you an idea of what we're really looking at when we look at an image of a black hole hey this video was sponsored by kiwiko creator of awesome hands-on projects for kids you know i've used kiwiko with my own kids for years they have nine different subscription lines targeted at different age groups all the way down to newborns the way it works is every month a box shows up at your door and inside it is everything you need to complete the project that means no extra trips to the store and when i show my kids the box they jump at the chance to make it with me and we can spend hours building something playing with it and learning about steam concepts together there really is no substitute for getting your hands dirty and making something to figure out how it actually works plus it's a ton of fun and to me that's how learning should be i want my kids to approach learning as play and i've seen how this fosters their curiosity and sparks new ideas kiwico have been long time supporters of the channel i've visited their offices which really seemed like a giant playground for adults like me and i've met their expert project designers and seen how thoroughly they test and iterate their designs now for viewers of this channel kiwico are offering 30 off your first month of any kit just go to kiwico.com veritasium30 i will put that link down in the description so i want to thank kiwiko for supporting veritasium and i want to thank you for watching