Time elapsed for watch with crystal normal or parallel to g

Loren Booda
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What is the approximate fractional difference in time measured between a quartz watch crystal resonating either normally or parallelly to Earth's surface gravitation?
 
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Quartz is an extremely stiff material and will deform very little in the Earth's weak gravity. I doubt if the difference would be measurable except under the most stringent lab conditions.
 
I was thinking more in the way of an experimental test of general relativity which affects the simplified quantum mechanics, thus timing, of such a device. One could also orient a cesium clock in these relative positions.
 
In my opinion, the orientation of a caesium clock will not affect its time keeping. The standard is based on measuring the frequency of light given by a certain energy transition of a Caesium atom. The direction of emission is random, although a photon 'falling' will have a higher frequency than one 'rising'. This experiment has already been done. All of this you know, of course.
 
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