... The only way you could get away with it is if the film suface was also curved, but a far as I know, only our eyes can do that... until someone invents a spherical sensor. As insanely expensive as that would be, it would single-handedly solve almost all issues regarding distortion as there would be nothing to correct, or a whole lot less, in any case.
Sony and Nikon have both patented a curved image sensor:
I have read the maximum iris number is related to the thermodynamics laws. Other write it is the Abbe sinus law is for maximum f-stop.