Could a mechanical non-LCD face version of this watch be constructed?
Seems (to me) the eccentric nature of the tme keepig mechanism would be pretty daunting to manufacture.
It seems to me that using a logarithmic scale would give pretty much the same look and feel and would simplify the design. If you want a timepiece to help procrastinators not procrastinate so much then it should be reversed though so that the first hour is the shortest and they think it’s later than it really is. The design as shown would only help confirm the tendency to delay. Remember, never put off until tomorrow what you can put off indefinitely.
Seems to me that a better solution would be to make a watch like the one on the right, but have it keep accurate time - the procrastinator’s sense that earlier hours are longer (if indeed that is the case) is counteracted by the rapidity of movement of the hands, as they flit almost a quarter of the way around the clock face in the first hour.
A non-LCD version of the watch could be built quite easily. A purely mechanical, wind-up one would be more difficult (although still not technically impossible, as eccentric mechanical devices have been used to calculate tides, etc), but a modern quartz analogue watch just moves the hands electromechanically to whatever position happens to be appropriate. Making them travel non-linearly would just be a programming issue.
You might be able to do it with a carefully shaped cam.
And the procrastinator’s watch should count down to 0, not up to 12.