Torog said:
How do we decide what is a clock and how do clocks that rely on different technologies stay synchronized?
I think we decide that something may be used as a clock if it seems to possesses rhythm or flow. Any crude clock rhythm can be checked to the second (during daylight) against a sufficiently large sundial where the shadow pointer moves in great enough increments to see to mark the correct division of seconds off in a 24 hour day. Note that Earth is an object that possesses more than one angular momentum and was thereby our first accurate timepiece.
All our clocks have this common denominator. They all rely on angular momentum, or a portion thereof , one way or another, to stay synchronized and count off rotations or portions thereof (pendulum). Two very different clocks, such as a pendulum and
flywheel/hairspring, can be perfectly synchronized by having proportional mechanical ratios designed to some rhythmic multiple of a harmonic tick to the other, or at least achieving a repeating periodic momentary synchrony after a certain number of ticks (For the nearly smooth rotation of a planet, the ticks may have to reduce to Planck motions in a ridiculous micro-sense).
Since all clocks rely on angular momentum, all are likely sensitive to rotation; for instance any common flywheel/hairspring clock can be stopped by "rocking it" in a gradually decreasing opposing rhythm to the reciprocating flywheel direction. All other clocks are also likely sensitive to a rotational motion in a similar way, as it disturbs angular momentum. I have wondered, but not yet tested, if an old tick-tock pocket watch will keep the same time when placed face-up on a continuously rotating turntable.
A pendulum clock is sensitive to being level, to gravity and the length of it's pendulum. Whereas a flywheel/hairspring clock should run "relatively" slower on the surface of Earth than the moon (
greater gravity on earth), a pendulum clock will run slower on the moon because the pendulum will "fall" slower in lower gravity (swing slower). A pendulum clock moved from sea level to 4,000 feet (1,200 m)
will lose 16 seconds per day.
It is the hairspring adjustment on the reciprocating flywheel clock that determines it's fine time-rate adjustment. If left unadjusted from Earth setting, it should run faster on the moon, wear out and not live as long as it's identical twin on earth. If such a flywheel clock were large enough, we might be able to read it with a powerful telescope on earth. Barring other interference, it would at first automatically read behind 1.3 seconds just because we would see it in history, the time the picture of light takes to reach us. But then the wind-up moon-clock would very gradually catch up because it ran faster in 1/6th the gravity of Earth (We'd have to somehow wind it with Earth tide). And if time runs faster on the moon, has it affected the apparent rotation position of it's accumulated orbits around Earth over the millions of years.
Wes
EDIT: Earth tide wouldn't work. We'd have to use solar tide to wind the moon-watch mainspring.