Re: The Absurd Claim of the Metric as a Tensor
- From: stevendaryl3016@xxxxxxxxx (Daryl McCullough)
- Date: 17 Jan 2007 11:31:04 -0800
Koobee Wublee says...
Daryl McCullough wrote:
So, are you agreeing that you are wrong to say "According
to the pros, although the elements of the matrices
(g_ij =/= g'_ij), the matrix ([g] = [g'])"?
No, I am not wrong by saying that.
Then provide a single quote from a "pro" who says that.
Did you talk to Mr. Bielawski, Mr. Brown, Dr. Roberts, Professor
Carlip? Have you not been reading what they wrote?
Yes, but unlike you, I actually understand what they are talking
about. None of those people have *ever* said that the matrix
[g] = [g'].
Jan Bielawski wrote:
[g] is not "the metric". [g] is the "matrix of components
of the metric g wrt coordinate system (q)".
Peter Brown says:
And here is the problem. You constantly confuse matrices with tensors.
While a tensor can be *represented* by matrices in some cases (e.g. in
a given coordinate system) a tensor is not a matrix.
Tom Roberts says:
This is the essence of your confusion. A _tensor_ is _NOT_ a matrix or
determinant or collection of components; its _projection_ onto a given
coordinate system is.
Daryl McCullough says:
A metric tensor is *not* a matrix, it is a bilinear
function of two vectors.
All these people are saying the same thing, that the metric is
not a matrix, it is a tensor.
--
Daryl McCullough
Ithaca, NY
.
- References:
- The Absurd Claim of the Metric as a Tensor
- From: Koobee Wublee
- Re: The Absurd Claim of the Metric as a Tensor
- From: Koobee Wublee
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