It has to do with the ratio of the subject-camera distance to the background-camera distance.
As others have pointed out you prove this to yourself in one of two ways:
1. Frame with telephoto, then shoot with a wide angle lens and digitally zoom in photo.
2. Frame with wide angle and then shoot a panorama with the telephone and stich.
2 is significantly harder if you are close to the subject.
It does not matter if you crop an image taken with a 50mm lens to get the same area of the motive as taken with a 300mm lens from the same ‘standpoint’ - there will be no difference between foreground and background (except for grain and noise - but that’s another story… ;-)
You have to move the camera to change that.
This is often seen in movies (those shot on real film) as opposed to on video as zoom lenses are often used without moving the camera, film based often use a dolly to move the camera. The effect of combining zoom and camera movement to keep the same crop of the foreground while having a dramatic effect of the background quickly getting larger/closer (or vice versa) is really effective - also in illustrating this concept.
In my early life (before taking the education as a photographer) I was really liking wide angles as it brought ‘life’ in to a lot of pictures. Wide as in 24 mm for my 35mm camera (Nikon F2, from 1973 should you wonder) was a favorite, replacing my 28 mm.
Too bad full frame digital is still so expensive. Using a 14-24 f/4 on the DX format in (Nikon D7100) just is’nt the same.
So now the iPhone is the most used camera (you know - the camera you have with you…!)
since what you see through the viewvinder is what the taken picture will look like, it is neutral like/wrt your eyes, at the zero middle between wide angle and telephoto. (it's worth considering "who says eyes are neutral?" it's the system we are used to and our brain develops to understand)
it's non obvious to a casual observer that the mm units chosen for the image size (the image gets focused on a 35mm rectangle (you need to know the aspect ratio)) and mm for the focal length are measuring different things, but that's why you just need to "know" that 35mm and 50mm "equal neutral". there are more things measured in mm as well, like the actual width of the primary lens which indicates how much light is gathered to be focused onto the same square.
i'm not a photographer. i don't quite know the mm lingo for what happens when the image sensor/film is wider then 35mm, the large/full formats. the focal lengths "work" the same, but a larger image would need to be focused and that seems like it would require some larger distances within the lens system.
Now, when you realize that there are geometric limitations to how wide an aperture can be relative to the focal length without having to stray from vaguely traditional _shapes_ of the objectives ("camera lens"), you can see that at the expense of fancier abberation corrections and of course larger/heavier glass lenses making up the larger objective, one could use a proportionally wider aperture with large format cameras.
For example, the infamous Barry Lyndon objectives were actually "just" 0.7x teleconverted spinoffs from an originally 70mm f/1 design. https://web.archive.org/web/20090309005033/http://ogiroux.bl...
You can get a rangefinder style camera with a viewfinder that lets you shoot with both eyes open but has a 35mm POV.
People have a variety of theories as to why 50mm is considered the standard lens and why people say it mimics human vision. I have heard so many explanations that I am inclined to say that there’s not really much but opinion behind it. It might just be that it was the most common first lens and because it is cheap and relatively simple to make a good, fast 50mm lens.
the point of a "single lens reflex" system is that you can see what the picture will look like by looking through the same (single) optics
A Pentax MX for example shows .97x magnification at 50mm. It will work great for your trick. Meanwhile a Canon AE-1 has .83x magnification at 50mm meaning one eye will be seeing an image where everything is 17% different in size. It will be like one eye is looking at a 55 inch TV and the other eye is looking at a 45 inch TV. Or more accurately, one eye is looking at the same TV but from 17% farther away.
If you throw a 58mm lens on that Canon, the trick will work again because you are zooming in to compensate for the zooming out that is happening in the viewfinder.
Of course, none of this has anything to do with 50mm lenses being “standard”.
Don’t believe me? Go slap a 50mm lens on an SLR with very low magnification. Or read one of the dozens of articles and threads out there explaining your misconception. Here’s a great one: https://www.lomography.com/magazine/319909-cameras-in-depth-...
you are describing a different system that does not show you what the camera sees. I'm not saying what you are talking about doesn't exist, I'm saying that your over-inclusivity takes away the value of describing what I described and is telling people "there's really nothing you can say, a million different things could be going on"
In other words, your “standard” lens is an artifact of the optics chosen to allow your eye to see the image.
In terms of what your eye sees: The FOV of what you are focusing on with your eyes is narrower than a 50mm lens. The FOV where your eyes can recognize symbols (can read letters) is wider than a 50mm lens. The FOV that your eyes can see from periphery to periphery is drastically wider than 50mm.
Quite simply put, the fact that on some cameras you can shoot with both eyes open at 50mm is an artifact of design, not some natural law. This is proven by the fact that there are cameras where you can do this with a 35mm lens or a 60mm lens. Camera manufacturers settled on calling 50mm at 1.0x magnification a standard view is arbitrary.
There is precisely nothing behind the common belief that 50mm is the same view as your eyes. It isn’t.
You can keep insisting otherwise, but it is in contradiction with physics and nominal human anatomy.
https://en.wikipedia.org/wiki/Single-lens_reflex_camera
opening paragraph
"In photography, a single-lens reflex camera (SLR) is a type of camera that uses a mirror and prism system to allow photographers to view through the lens and see exactly what will be captured... SLR technology played a crucial role in the evolution of modern photography...the rise of mirrorless cameras in the 2010s has led to a decline in SLR use and production. With twin lens reflex and rangefinder cameras, the viewed image could be significantly different from the final image."
what you see through the viewfinder is what the camera will take a picture of; you can change lenses so it is not always neutral. but if the zoom of the lens it neutral, what you will see through the viewfinder is neutral, and that occurs at 50mm for a 35mm camera
Nothing that I’m saying is contradicted by that Wikipedia article.
I have, on my desk, no less than three 35mm film SLRs that will not allow you to see with both eyes open using a 50mm lens. I have already given you a link to an article explaining it, as well as explained it myself.
The image you see through a normal film SLR is the image that the lens is projecting onto a surface that is further transformed in the prism, you can see this surface by removing the lens and looking at the top of the inside of the camera above the mirror directly behind the lens. That image on the ground glass surface is then transformed using another set of lenses and mirrors in the prism so that you can put your eye to the lens and see it right side up, and focus your eye as if the image were not less than an inch away on a piece of ground glass.
There is no SLR on earth that does not have additional optics between you and the image projected on the ground glass. In modern cameras the ground glass and additional optics are a single piece with the flat side facing down and either a fresnel lens or a normal glass lens on the top.
Those optics inside the prism, that every single eye level finder SLR has, are what decide whether or not a 50mm lens shows an image to the photographer that is comparable in size to what they see with their other eye. If it is 1x magnification at 50mm it is the same size. Otherwise it is not. You can look up the magnification for any SLR. There is also the completely different coverage spec that SLRs have that tells you what percentage of the full image to be projected on the film that will be shown in the finder. You can have cameras that show the full image at lower magnification, in the same way that you can see the full image after printing on a 4x6 photo, or on a 8x12 photo.
What is crucial to understand, that you have continually missed, is that there is not a “neutral” spot that occurs naturally at 50mm. It is an artifact of design on many, but by no means all, cameras. A Nikon D850 has viewfinder coverage of 100% and a magnification of .75x at 50mm. That means that the viewfinder, with a 50mm lens attached, will show the entire image to be recorded, and the image will be 75% the size that my other eye sees it. It will give you a headache to try and shoot both eyes open. My Nikon F90x has similar specs for the viewfinder, to preempt any notion that this is because of digital. It is referenced to 50mm because it has to be referenced to something and the most popular focal length is the one that manufacturers settled on. Some SLR cameras show a smaller, but still complete version of the image that the lens is projecting. ALL SLRs need an additional lens in the prism to make it possible to see anything at such short distances. The nature of that internal lens and the prism is what determines the magnification not the lens that you attach.
If you go look at the Wikipedia link that you found there is a cutaway diagram showing the additional lens that you are viewing the image through. That combined with the article I linked earlier explain it very thoroughly.
Good luck with your journey to understanding of this concept.
This page doesn’t have any images but covers the concept quite well: https://en.m.wikipedia.org/wiki/Normal_lens
The concept of matching a picture to normal human vision goes back to the age of paintings, before any photography even existed.