- The video discusses the imaging of supermassive black holes, specifically Sagittarius A-star and the black hole at the center of galaxy M87.
- Sagittarius A-star is challenging to observe due to dust and gas in our galaxy, as well as its small size and low consumption of matter.
- The black hole at the center of M87 is more active and larger, making it easier to observe over time.
- The size of black holes in the sky is incredibly small, equivalent to a donut on the moon.
- The images of black holes were made using radio waves with a wavelength of 1.3 millimeters.
- Radio telescopes were used to capture the images, and a technique called very long baseline interferometry was employed.
- Data from multiple telescopes around the world were combined to achieve higher angular resolution.
- The data was brought together by physically carrying hard drives to centralized locations.
- The relative distances between telescopes and time delays between wavefronts hitting each telescope provided additional information.

- The information received from pairs of telescopes about a black hole is a series of bright and dark fringes.
- Telescopes close together produce wide fringes, while those far apart produce narrow fringes.
- To create an image, pairs of telescopes at different orientations and distances apart are needed.
- The image shows the event horizon, the innermost stable circular orbit, and the photon sphere.
- The shadow in the image corresponds to the event horizon, but also includes the back side of the event horizon.
- The image also includes multiple images of the event horizon as light rays graze the photon sphere.
- The image may show the back of the accretion disk and includes bright spots due to relativistic beaming.
- KiwiCo is offering a discount on their hands-on projects for kids.

This is an image of the supermassive black hole, Sagittarius A*, at the center of our Milky Way galaxy.
Visit https://www.kiwico.com/veritasium30 to get 30% off your first month of any crate!

▀▀▀
Image of Sgr A* from EHT collaboration
Event Horizon Telescope collaboration: https://ve42.co/EHT

Animations from The Relativistic Astrophysics group, Institute for Theoretical Physics,  Goethe-Universität Frankfurt. Massive thanks to Prof. Luciano Rezzolla, Dr Christian Fromm and Dr Alejandro Cruz-Osorio.

A huge thanks to Prof. Peter Tuthill and Dr Manisha Caleb for feedback on earlier versions of this video and helping explain VLBI.

Great video by Thatcher Chamberlin about VLBI here – https://youtu.be/Y8rAHTvpJbk

Animations and simulations with English text:
L. R. Weih & L. Rezzolla (Goethe University Frankfurt)
https://youtu.be/jvftAadCFRI

Video of stars going around Sgr A* from European Southern Observatory
https://www.eso.org/public/videos/eso1825e/

Video zooming into the center of our galaxy from European Southern Observatory
https://www.youtube.com/watch?v=dXAU0gzsPOw

Video of observation of M87 courtesy of:
C. M. Fromm, Y. Mizuno & L. Rezzolla (Goethe University Frankfurt)
https://youtu.be/meOKmzhTcIY

Video of observation of SgrA* courtesy of
C. M. Fromm, Y. Mizuno & L. Rezzolla (Goethe University Frankfurt)
Z. Younsi (University College London)
https://youtu.be/VnsZj9RvhFU

Video of telescopes in the array 2017:
C. M. Fromm & L. Rezzolla (Goethe University Frankfurt)
https://youtu.be/Ame7fzBuFnk

Animations and simulations (no text):
L. R. Weih & L. Rezzolla (Goethe University Frankfurt)
https://youtu.be/XmvpKFSvB7A


▀▀▀
Special thanks to Patreon supporters: Inconcision, Kelly Snook, TTST, Ross McCawley, Balkrishna Heroor, Chris LaClair, Avi Yashchin, John H. Austin, Jr., OnlineBookClub.org, Dmitry Kuzmichev, Matthew Gonzalez, Eric Sexton, john kiehl, Anton Ragin, Diffbot, Micah Mangione, MJP, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Dumky, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Mac Malkawi, Michael Schneider, jim buckmaster, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Stephen Wilcox, Marinus Kuivenhoven, Clayton Greenwell, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal

▀▀▀
Written by Derek Muller
Animation by Ivy Tello, Mike Radjabov, Maria Raykova
Thumbnail by Ignat Berbeci
Filmed by Petr Lebedev

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 2000 times closer than M87 star.

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 3 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.

1 of the stars was clocked going 24 million meters per second.

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 Schwarzschild 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.

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 Goethe 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 a hundred, into a hundred 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 2 questions.

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.

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.

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 0.

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.

1 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 wanna 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 1 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.

But now that data needs to be brought together.

And 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 wavefront hits 1 telescope relative to the others.

Imagine combining the signals from 2 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 2 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.

It's possible that the source could be exactly 1 wavelength closer to 1 of the telescopes.

And that way the radio waves would still arrive perfectly in phase.

Or the difference could be 2 or 3 or 4 wavelengths.

So from 1 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 accretion 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.

Well that's because there is an innermost stable circular orbit and for matter around a non spinning black hole that orbit is at 3 Schwarzschild 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 Schwarzschild 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?

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 Schwarzschild 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?

Well, in the center of it is the event horizon.

It maps pretty cleanly 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 1 point in space at the black hole we actually get to see the entirety of the black hole's 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.

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 in another annular ring, and then another 1 after that, and another 1 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 disc 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 disc 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.

1 other really important effect to consider is that the matter in this accretion disk is going very fast, close to the speed of light and so if it's coming towards us it's gonna look much brighter than if it's going away.

That's called relativistic beaming or Doppler beaming and so 1 side of the secretion disk is going to look much brighter than the other and that's why we're gonna 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 KiwiCo, creator of awesome hands-on projects for kids.

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And to me, that's how learning should be.

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Just go to kiwico.com slash Veritasium30.

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So I want to thank KiwiCo for supporting Veritasium, and I want to thank you for watching.


Speaker 0: This video is sponsored by KiwiCo. 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 2000 times closer than M87 star. But it's also over 1000 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 3 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. 1 of the stars was clocked going 24 million meters per second. That's 8% 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 Schwarzschild 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 Goethe 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 a hundred, into a hundred 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 2 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 0. 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 2 ways of achieving this. 1 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 wanna 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 1 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. And 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 wavefront hits 1 telescope relative to the others. Imagine combining the signals from 2 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 2 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 1 wavelength closer to 1 of the telescopes. And that way the radio waves would still arrive perfectly in phase. Or the difference could be 2 or 3 or 4 wavelengths. But you get the point.

So from 1 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 accretion 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 3 Schwarzschild 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 Schwarzschild 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 Schwarzschild 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 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 1 point in space at the black hole we actually get to see the entirety of the black hole's 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 in another annular ring, and then another 1 after that, and another 1 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 disc 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 disc 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. 1 other really important effect to consider is that the matter in this accretion disk is going very fast, close to the speed of light and so if it's coming towards us it's gonna look much brighter than if it's going away. That's called relativistic beaming or Doppler beaming and so 1 side of the secretion disk is going to look much brighter than the other and that's why we're gonna 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.

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How did they actually take this picture? (Very Long Baseline Interferometry)