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gps satellites relativity

September 20th, 2009 No comments

Does radiometric dating say that rocks at higher elevations are slightly older because of General Relativity?

I didn’t know if it would be significant to cause an effect, and because they calculate a confidence interval for radiometric dating. Einstein’s Theory of General Relativity says that the closer you get to a source of gravitation, the slower time runs. A GPS satellite has to correct for General Relativity and Special Relativity by 38 microseconds/day (GPS time runs 38 microseconds faster on average than on the surface of the Earth and they have to set the GPS clock wrong to make up for it). I know that rocks at higher altitudes don’t have so much of a difference in altitude, but I was curious if General Relativity affects radiometric dating?

GPS satellites are a lot higher up than even the top of Mount Everest.

Let’s look at the maths – assuming GPS time-differences as a “worst case” scenario:

39 microseconds/day is about 14 milliseconds/year.

In a million years that makes 14000 seconds, or about 3.9 hours.

An error of a few hours in a million years is a lot less than the uncertainty in radiometric dating.

Conclusion: No correction is necessary.


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