On Tue, Oct 13, 2020 at 1:20 AM Alan Grayson <agrayson2...@gmail.com> wrote:

*> How does gravity cause the difference between what the theories predict?
> AG *
>

There is no contradiction about what the theories predict because Special
Relativity can make no prediction at all about what a clock will do when it
is in a gravitational field or is accelerated in any other way; that's why
it's called "special", it's only applicable in certain special
circumstances. But General Relativity can handle acceleration and gravity.
A GPS Satellite is moving fast compared to a clock on the ground so Special
Relativity says the clock on the satellite will lose 7210 nanoseconds a
day, but the satellite clock is further from the Earth's center so it's in
a weaker gravitational field, and because of that general relatively says
the satellite clock will gain 45850 nanoseconds a day relative to the clock
on the ground. So the two theories together predict the satellite clock
will gain 45850 −7210 = 38,640 nanoseconds a day relative to a clock on the
ground. If this were not taken into account the GPS system would be in
error by 6 miles every day and the error would add up, soon the entire GPS
system would be useless.

John K Clark

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