Nothing can be infinity FPS because it would be limited by the frequency of the light that we use to see the watch hand. In the case of the visual spectrum, it caps out around 668 THz with blue light (red light is lowest at 400 THz). This would make it "only" ~4.7E12 times better than 144 Hz ;-).
With that said, though, I believe that the movement of the actual atoms making up the mechanical hands is still happening in an "infinitely smooth" sense, although the way we measure and observe that movement (via reflections of light or perhaps some other type of electromagnetic radiation) may be limited.
>There is currently no proven physical significance of the Planck length;...
It's just dimensional analytical playing with some fundamental physical constants. Physicist believe that this scale length may have some connection with the yet to be discovered laws of quantum gravity. It has nothing to with the "finite resolution of the universe". There is no evidence that the universe has finite resolution.
(Edit: only now have I noticed it was already mentioned in another comment)
The old watches tick at 3 times per second on 6 Hz movements.
Old Rolex tick 3 times per second on 6 beats/second balance wheel movements, and modern Rolex do 4 ticks per second on 8 beats per second movement.
> In 2010, Bulova introduced the Precisionist, a new type of quartz watch with ultra-high frequency (262.144 kHz) which is claimed to be accurate to +/- 10 seconds a year and has a smooth sweeping second hand rather than one that jumps each second.
By the way, Seiko has had a movement for some time that is rated to +/- 5 seconds a year. I think it was on a special edition of the Grand Seiko line (already rated to around 10 seconds a year, so you'd get 5 seconds off less. Yay!)
http://en.wikipedia.org/wiki/Balance_wheel#Period_of_oscilla...
Gruber is the unpaid wing of Apple's PR team. I doubt he cares.
I found this more informative because he used it a bit more like I expected someone to.
I couldn't help but laugh at this part:
> Also, though it sounds trivial, I enjoy the perfect 60 FPS smoothness of Apple Watch’s second hand — a smoothness no mechanical watch could ever match.
Isn't a mechanical watch hand ∞ FPS by definition? Real life has got to be at least better than 144hz :)