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1. S. M. Drake, “ The equivalence principle as a stepping stone from special to general relativity: A Socratic dialog,” Am. J. Phys, 74, 22–25 (2006).http://dx.doi.org/10.1119/1.2135316
2. A. Einstein, The Principle of Relativity with notes by A. Sommerfeld ( Dover Publications, New York, 1952), pp. 49–50. The German term he uses isunruhuhr, which is better translated as “spring wound clock.” I have chosen the pendulum because of the effects of gravity. The spring wound clock would read the same at the pole as the equator. As the rotational speed of the Earth at the equator is only about 478 m/s, I have neglected the effects of special relativity in this note, which are of order 10−12 and thus much smaller than the general relativistic effects I am considering.
3. Implicit in this discussion is the underlying metric . In a private communication, Luis Alvarez-Gaume has remarked that this metric is not technically correct because the Earth is rotating so that is a function of time. Thus, this diagonal form of the metric is only an approximation (although in this case a very good one).