Re: invariance of negative signature of the metric?



Ken S. Tucker says...

On Mar 12, 6:12 am, stevendaryl3...@xxxxxxxxx (Daryl McCullough)
wrote:

I'm sure that it's possible to work perfectly well with
complex coordinates.

That's what a (+---) signature is.

No, it's not.

But the notion of a metric "signature"
only makes sense if the coordinates are real.

I don't know what "makes sense" means, but
I prefer to use a (++++) signature BUT that's
choice not a physical law of nature.

But the claim that spacetime has the metric (+---)
(or equivalently) (-+++) *is* a physical fact about
the universe. It's a very important fact, and it
makes for a big difference between spacelike and
timelike separations.

--
Daryl McCullough
Ithaca, NY

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