The f number is the ratio of the focal length to the diameter of the pupil. So a lens with a 100mm length at f/0.95 would have a pupil opening of 105.26mm
Just a little clarification that will clear up a lot of confusion in this thread... the f number is the ratio of the
effective focal length (as opposed to physical focal length) to the diameter of the
exit pupil, which is the image of the aperture stop in image space. To achieve the same f number while zooming, the stop is placed so that the size of the exit pupil increases the same proportional amount as the effective focal length. This is achieved by having elements "after" the stop that "zoom in" on the stop at the same time other elements are zooming in on the scene, so to speak.
Having the requirement that the f number remain the same throughout the zoom range (a la the canon L series) places an additional constraint on the lens design that requires fancier and more exotic lenses, and thus increases the price