Re: Bases in Minkowski's space



On Fri, 09 Jan 2009 15:15:33 -0600, Tom Roberts
<tjroberts137@xxxxxxxxxxxxx> wrote:

eric gisse wrote:
On Fri, 09 Jan 2009 17:48:41 +0100, Etienne Duphinne
<Etienne.Duphinne@xxxxxxxx> wrote:
Leaving behind the othogonality hypothesis,
no constrains does exist on < u_i , u_i >.

The constraint is that the metric has to be the Minkowski metric.

Yes, but he is asking about basis vectors, not the metric.

See my other post for more details.


Tom Roberts

I was interpreting < u_i , u_i > to mean the dot product between u_i
and u_j, which determine the metric, which any coordinate
transformation has to be related to.

Though your comment about the signature is much less unweidly than
mine...
.



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