Re: variation of appropriate degrees of freedom of metric

On Feb 15, 6:08 pm, Tom Roberts <tjroberts...@xxxxxxxxxxxxx> wrote:
Eric Gisse wrote:
On Feb 15, 7:11 am, Tom Roberts <tjroberts...@xxxxxxxxxxxxx> wrote:
the technique is valid only for SMALL
variations, and the definition of "small" must include not changing the
metric signature.

So is it correct to say that one cannot continuously change the
signature of a metric?
Is a signature change a discontinuous process like a parity inversion?

Certainly. The signature of a metric is an integer, and an integer
cannot possibly be changed "continuously".

Sure, but its' a sum. I see your point though, this just isn't
something I have thought much about.


[Some authors call "+++-" the "signature"; others use
the sum +1+1+1-1=2; I mean the latter sense here.]

Tom Roberts

.

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