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Árpád Szendrei asked: "Can I really see what is on the opposite side of a black hole?"

Yes. Let's take this 360°x180° full panorama:

Now we zoom in one direction:

and place a black hole in front of the observer:

Now we turn around by 180°:

and move the black hole into our new line of sight:

Here we look up into the clouds:

and move the black hole into our view again:

As you can see we would see what's behind of us lensed around the black hole's shadow, but it would be strongly distorted.

The zoomed in images have a FOV of 103°x61°, the black hole has a spin of a=M. We only consider the black hole's gravitational lensing, not it's destructive effects on the enviroment.

There's also a video here with the image used above, but the resolution is rather low. This video has a different background image, but higher resolution.

Árpád Szendrei asked: "Can I really see what is on the opposite side of a black hole?"

Yes. Let's take this 360°x180° full panorama:

Now we zoom in one direction:

and place a black hole in front of the observer:

Now we turn around by 180°:

and move the black hole into our new line of sight:

Here we look up 45° into the clouds:

and move the black hole into our view again:

As you can see we would see what's behind of us lensed around the black hole's shadow, but it would be strongly distorted.

The zoomed in images have a FOV of 103°x61°, the black hole has a spin of a=M. We only consider the black hole's gravitational lensing, not its destructive effects on the enviroment.

There's also a video here with the image used above, but the resolution is rather low. This video has a different background image, but higher resolution.

Since you tagged your question with "electromagnetism" as well you can also look at charged black holes here. You also tagged "quantum-mechanics", but this tag doesn't belong here in my opinion since the gravitational lensing is a GR, not a QM effect.

Árpád Szendrei asked: "Can I really see what is on the opposite side of a black hole?"

Yes. Let's take this 360°x180° full panorama:

Now we zoom in one direction:

and place a black hole in front of the observer:

Now we turn around:

and move the black hole into our new line of sight:

Here we look up into the clouds:

and move the black hole into our view again:

As you can see we would see what's behind of us lensed around the black hole's shadow, but it would be strongly distorted.

The zoomed in images have a FOV of 103°x61°, the black hole has a spin of a=M. We only consider the black hole's gravitational lensing, not it's destructive effects on the enviroment.

There's also a video here with the image used above, but the resolution is rather low. This video has a different background image, but higher resolution.

Árpád Szendrei asked: "Can I really see what is on the opposite side of a black hole?"

Yes. Let's take this 360°x180° full panorama:

Now we zoom in one direction:

and place a black hole in front of the observer:

Now we turn around by 180°:

and move the black hole into our new line of sight:

Here we look up into the clouds:

and move the black hole into our view again:

As you can see we would see what's behind of us lensed around the black hole's shadow, but it would be strongly distorted.

The zoomed in images have a FOV of 103°x61°, the black hole has a spin of a=M. We only consider the black hole's gravitational lensing, not it's destructive effects on the enviroment.

There's also a video here with the image used above, but the resolution is rather low. This video has a different background image, but higher resolution.

Árpád Szendrei asked: "Can I really see what is on the opposite side of a black hole?"

Yes. Let's take this 360°x180° full panorama:

Now we zoom in one direction:

and place a black hole in front of the observer:

Now we turn around:

and move the black hole into our new line of sight:

Here we look up into the clouds:

and move the black hole into our view again:

As you can see we would see what's behind of us lensed around the black hole's shadow, but it would be strongly distorted.

The zoomed in images have a FOV of 103°x61°, the black hole has a spin of a=M. There's also a video here with the image used above, but the resolution is rather low. This video has a different background image, but higher resolution.

Árpád Szendrei asked: "Can I really see what is on the opposite side of a black hole?"

Yes. Let's take this 360°x180° full panorama:

Now we zoom in one direction:

and place a black hole in front of the observer:

Now we turn around:

and move the black hole into our new line of sight:

Here we look up into the clouds:

and move the black hole into our view again:

As you can see we would see what's behind of us lensed around the black hole's shadow, but it would be strongly distorted.

The zoomed in images have a FOV of 103°x61°, the black hole has a spin of a=M. We only consider the black hole's gravitational lensing, not it's destructive effects on the enviroment.

There's also a video here with the image used above, but the resolution is rather low. This video has a different background image, but higher resolution.