Gravitational redshift measured by a computation counter
ID: gravitational-redshift-measured-by-a-computation-counter
Two identical stationary devices counting operations at the same rate per proper time act as clocks. If the upper one sends start and finish light signals over a fixed path to the lower one in a stationary metric, both propagation delays are identical in coordinate time and cancel from the interval comparison. The lower elapsed proper time divided by the upper one is . In the weak field the relative lag is , giving the displayed operation deficit. A rate of operations per second, a week and a height difference of ten metres give a deficit of roughly operations. This observable tests the radial clock-rate factor; it does not independently determine the radial spatial metric coefficient because the common signal delay cancels.
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