One rational interval function and one irrational, will they ever collide?
Could you make a theoretical device that could measure an irrational number of seconds? Maybe, but that would be impossibly hard. In the real world the computers clock, which runs the scheduler, is made out of a vibrating piece of quartz creating the ticks. This is vibrating at a few billion times per second. You will never get resolution of time between the vibrations so it provides us with an implicit limit on how accurately we can measure time.