Re: invariance of negative signature of the metric?

On Mar 8, 7:42 am, Tom Roberts <tjroberts...@xxxxxxxxxxxxx> wrote:
Ken S. Tucker wrote:
when I suggested General
Covariance enables a signature choice,
to unchain the brains, I got yelled at.

In pseudo-Reiemannian geometry one must ALWAYS select a sign convention
that fixes the signature of the metric (actually this is also true in
Riemannian geometry, but nobody picks a signature of --- so the issue
never arises in practice).

Dr. Tucker shall use advanced appartus
in a highly technical physics experiment
to prove General Covariance.
Begin with a 1 foot (12 inch) ruler, turn
it over and write sqrt(-1) foots on it,
using a *magic marker*.

On top side g11 = e1.e1 = 1*1, but on the
bottom side g11= e1.e1 =sqrt(-1)^2 = -1.
(e1's are unit vectors).

According to Tom, I've changed the entire
fabic of spacetime with my *magic marker*.

I suppose Tom will now condemn the use of
*magic markers* in science, only Walmart
'nonmagic markers', will be permitted.

If you happen to use g11=+1 (the ruler top
side up), Tom will insist you MUST mark all
your clocks with seconds in sqrt(-1) units,
prominently displayed so as not to disturb
the spacetime continuum.

Anyway, you can see how ridiculous squabbles
about signature are.
Dr. Tucker has physically proved that.
Ken S. Tucker
kxsxt8
.

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