Re: Are There Unresolver Foundational Issues With GR

On Apr 27, 4:37 pm, JanPB <film...@xxxxxxxxx> wrote:
On Apr 27, 4:02 pm, Koobee Wublee <koobee.wub...@xxxxxxxxx> wrote:

A better question is to ask what physically DESCRIBES a geometry since
nothing can change or determine the geometry. If you ask that
question, I will answer.

It's not just a DESCRIPTION - if that was the case, nobody would
bother you :-)

When talking about an invariant object or a feature, we can only
describe. We cannot change it.

The problem with your claims is that you insist on an
_actual physical difference_ between certain two expressions for ds^2
differing only by a coordinate change - you said in one such case, for
example, that one of the ds^2 exhibited a black hole while the other
one didn't.

No, I did not say that. I said since the field equations are only
valid for a set of coordinate system that we initially have chosen,
any solutions found must be conformed to this coordinate system and
nothing else. If there are two solutions, then each metric must
represent a different geometry since both metrics employ the same
coordinate system. With the field equations able to predict the
existence of so many independent metrics at the same time, the field
equations must be wrong, silly, and absurd.

The analogy is like solving the following quadratic equation.

x^2 - 4 x + 3 = 0

The solutions are

** x = 1
** x = 3

To say (x = 1 = 3) is wrong, silly, and absurd. To insist on (x = 1 =
3) is barbaric, irrespnosible and sinister.

Bottom line:
I'd like to know how two functions assigning the same lengths and
angles to the same vectors can STILL be considered as different
solutions to Einstein's equation.

They can't, but they do exist. Thus, the field equations are just
wrong, silly, and absurd.

What distinguishes them, physically?

The metric with identical coordinate system.

.

Relevant Pages

  • Re: Are There Unresolver Foundational Issues With GR
    ... 2 different metrics using the same coordinate system represent 2 ... as the mathematics that represent them is very different. ... The geometry cannot be determined, shaped, modified, or annihilated. ...
    (sci.physics.relativity)
  • Re: The Absurd Claim of the Metric as a Tensor
    ... The definition of a tensor as agreed by almost everyone says that any ... The geometry described is invariant under any transformation. ... infinite number of solutions to the field equations is at stake. ... only valid to the choice of coordinate system where each solution very ...
    (sci.physics.relativity)
  • Re: Are There Unresolver Foundational Issues With GR
    ... "Spacetime and Geometry" - S. Carroll ... You still have to know what coordinate system your metric is abided ... metrics must be the same regardless the coordinate system. ...
    (sci.physics.relativity)
  • Re: Are There Unresolver Foundational Issues With GR
    ... metrics") are to be treated as physically different. ... two different expressions for the same geometry. ... Then show us two different metrics using the same coordinate system ...
    (sci.physics.relativity)
  • Re: Are There Unresolver Foundational Issues With GR
    ... "Differential Geometry of Curves and Surfaces" - M. Do Camro ... You still have to know what coordinate system your metric is abided ... metrics must be the same regardless the coordinate system. ...
    (sci.physics.relativity)
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