Prove this photograph was shopped or is fake.
Looks like a fish eye lens to me.
Nope
jroa... you weren't asked what it "looks like" to you: You were asked for evidence that it was faked. A dolphin "looks like" a fish, but it isn't. Something that just looks like something else can't be classified as evidence.
Your comment also further indicates that you just don't understand how a camera's lenses work. There is zero curvilinear distortion in the earth image, but the second image is almost totally distorted—apart from along its major optical axes. Any competent photographer will tell you that the image of the planet could/can be taken with a long focal length lens, and the second has been taken with a lens of a far, far shorter focal length. Possibly in the order of 8mm.
The black area surrounding this image is
not the equivalent of the black sky in the earth image—which is an actual part of the image.
The black on this image defines the "image circle" on the camera's sensor, and is
not a part of the image as such; it's just where no light has fallen on the sensor. Totally different thing to the earth image. Sorry.
EDIT: I'm getting really, really sick of repeatedly fixing the [img] coding on this site!