Originally posted by VisualDarkness F-stop is a function of focal length and the optically most narrow point, nothing less and nothing more. This is why equivalent F-stops becomes useless unless you are really stuck in 35mm sensor thinking and need to translate. The same thing applies for focal length equivalents, it's useless on its own.
T-stops that is actual light transmission is not a subject to equivalence at all.
My God, I would dare to say it almost hurts when someone is so stubborn as to only read and "cherry pick" out of context whatever statement may find anywhere, just to keep claiming truth in a total bogus statement.
The above said by VisualDarkness is total true. There is nothing more to add to it. Just someone who want to scramble things may try to do so. There are certain laws of physics that prevail over whatever statement anyone here can say, even if they get the Pope, Mother Teresa, Obama or the Dalai Lama to back up such statements.
Light is light. It has no nationality nor political agenda. Light only has color and intensity. That's it.
Photo lenses handle light by MAGNIFICATION and f/stop (aperture). Prime lenses offer fixed magnification. Zoom lenses offer variable magnification. Aperture is the same for every lens. f/2.8 transmits the SAME AMOUNT OF LIGHT with any focal length.
Sensors (as film) is a light capturing device, but since what is intended to capture is AN IMAGE and not a total sum of photons, then what matters is its capacity to receive that projected light over a certain area. The sensor size (or film) makes no difference.
Depth of field is a product that comes from the magnification of any given image, projected into any given area, then enlarged to a FIXED viewing size and being analyzed at a specific viewing distance. Its a bit complicated but the thing that matters, is that the sensor size has nothing to do here. Is the total magnification what matters.
F/Stops (aperture) is identical from one lens to another, no matter the film or sensor format. That is if your intended measurement is LIGHT. If you intend to measure "depth of field" (luck on that one) and since depth of field has to do with MAGNIFICATION, then in order to get the same magnification over the sensor format, it means that the focal length should be changed. As a consequence, the aperture should be changed too because you are changing MAGNIFICATION..... That is why sometimes there is a reference of "equivalent aperture", which relates to equivalent depth of field over the equivalent magnification of any given image, but this equivalence has nothing to do with LIGHT TRANSMISSION.
Please, someone put this in simpler words. English is not my native language and I am struggling here.