On May 6, 11:25 pm, Eric Gisse wrote:
On May 6, 10:10 pm, Koobee Wublee wrote:

Yes. Or do you somehow think the coordinate labels determine the
physics?

Choice of coordinate does not change physics. This has been what I
have been saying all along. You are merely a malicious troll. That
is why you remain a multi-year super-senior even at the University of
Alaska. shrug

Sink this in. We have no more to discuss if you do not understand the
following very basic points.

** The geometry must be invariant.

** The choice of coordinate is observer dependent.

** The metric which together with the coordinate system describes the
geometry.

Therefore, the metric must be coordinate dependent.

Upon proper treatment, all solutions to the field equations are
independent although somewhat related to each other. This
relationship among all these solutions is what you call
transformation. However, at the stage where all these field equations
are laid out to be solved of their solutions, the choice of coordinate
system is cast in concrete. You cannot change the coordinate system
any more. Thus, each solution can only be valid with the already
established choice of coordinate system. In this case, it is the
common spherically symmetric polar coordinate system. You have been
told this many times over. It is time for you to understand this very
basic mathematical relationship. shrug

Once again, I ask you to explicitly apply a coordinate transformation
to G_uv = kT_uv and PROVE that a transformed solution is no longer a
solution.

Once again, I have told you there is no such transformation. shrug
Each solution to the field equations is independent of each other
using the same set of coordinate system.

Do you not know how, or do you somehow think that proves nothing?

Can you dig that, multi-year super-senior?