On 3/26/2019 12:29 PM, [email protected] wrote:
On Tuesday, March 26, 2019 at 11:29:08 AM UTC-6, John Clark wrote:
On Tue, Mar 26, 2019 at 1:14 PM <[email protected]
<javascript:>> wrote:
/> How do the mathematicians prove it?/
Mathematicians can't prove that a physical theory is correct, all
they can do is show that changing the coordinate system (for
example by rotating the X and Y axis) does not result in different
physical predictions. Only exparament can tell you if the
predictions is right, or at least mostly right.
John K Clark
I'm not asking if GR is correct; rather, whether it is covariant.
Moreover, for SR we can prove covariance, since under the LT, the law
of physics don't change and the SoL is c in any inertial frame. ME are
also invariant under the LT. AG
Look at the paper by Gupta and Padmanabhan that I linked to. The
equations are written a manifestly covariant form, so no "proof" is
relevant. But the equations are local, partial differential equations.
So when you want to calculate something that involves radiation (and
accelerating a mass produced gravitational radiation), even though the
local equations are covariant the solution depends on an integral
equation over the past motion of the body. Since that motion can be, ex
hypothesi, arbitrary, there's no general transformation between two
reference systems that have gone through arbitrary motions in the past.
Brent
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