What is your favorite timechain?
I prefer one with a difficulty adjustment that self-regulates its integrity when under attack or heavy use. This further incentivises work to be done at an economically sound pace, rather than giving any advantage to over-work or under-work.
In fact, this may be a superior measure of time to something based on our understanding of celestial and planetary motion, or the behaviour of waves and particles.
Different representations of time may be more applicable to some situations than others. Celestial or planetary time may be very well suited to agriculture, which is further influenced by planetary positions and alignments. Atomic time might be useful in very small and precuse measurements. Consider that distance, speed, and acceleration are all non-existent without time.
Perhaps timechains introduce a measure or concept of time that is more applicable to work, or energy converted/expended/transferred.
The mathematics of a timechain are interesting, but the physics of it are just as astounding, if not moreso.