On 12/21/2017 2:04 PM, [email protected] wrote:
On Tuesday, December 19, 2017 at 8:51:51 PM UTC, Brent wrote:
On 12/18/2017 11:44 PM, [email protected] <javascript:> wrote:
Invariants are always the important things in physics because
they are what we can have intersubjective agreement on.
Brent
*IIUC, the field equations are covariant, which means coordinate
system independent. *
Right. Covariant means that something that changes in such a way
that invariant things remain the same. So vectors components
transform covariantly so that they keep the vector physically the
same.
*Isn't Newton's Law of Gravitation also coordinate independent?
That is, if we use Newton to calculate the planetary orbits,
won't we get the same results in different coordinate systems? *
Right.
*
If Newton's Law of Gravitation is covariant -- that is, coordinate
frame independent -- I'd expect it to to be invariant between inertial
frames, but I don't believe it is. That is, I don't think a LT between
inertial frames will leave the form of the law unchanged. How do you
resolve this problem? TIA, AG
*
Don't use a Lorentz transform between frames in a Galilean invariant theory.
Brent
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