wfooshee
No longer a newbie, moving up!
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Aperture diameter has nothing to do with lens diameter. The diameter of the aperture actually is irrelevant as a measured number. Its importance is how it relates to the focal length of the lens. 200mm lens at f:4, the iris is 1/4 of 200, or 50mm. A 50mm at f:4, the iris is 1/4 of 50, or 12.5mm. But the actuall= diameter is irrelevant; what matters is that it's 1/4 of the lens's focal length. f:4 mean focal/4. f:16 means focal over 16. The ratio to focal length is how it's measured, not the diameter of anything.
Aperture diameter drives the lens diameter.
In your example, the objective lens of the 200mm f/4 lens has to be a minimum of 50mm in diameter.
Any smaller in diameter, and the aperture would be smaller than f/4.
Larger in diameter at the option of the lens designer.
The lens barrel, zoom and focusing rings would be larger in diameter than the objective lens.
I would describe it the other direction... Lens diameter dictates the available aperture. This is an economic decision by the manufacturer. You can have your 70-200 f:2.8 if you've got the bucks, but most will settle for f:4 or even f:5.6 for affordability.
My statement that the aperture diameter has nothing to do with the lens diameter was in response to the OP's sentence: "For example, common wisdom would tell me that an f/stop number of 8 or 13 will be the same diameter hole regardless of LENS DIAMETER. But why isn't that what actually happens in life?" I may have misunderstood his statement, but it appears that the OP was thinking that the f-number specified a physical size aperture, same size for any lens, when in fact it specifies that size as a ratio to the focal length, larger physical iris openings for longer lenses.