Re: invariance of negative signature of the metric?



On Mar 13, 11:36 am, Eric Gisse <jowr...@xxxxxxxxx> wrote:
On Mar 13, 11:34 am, "Ken S. Tucker"

We've posted a synopsis here,http://physics.trak4.com/

Royal we, of course.

"E"ric there's alot of fella's involved.
I was in public school when imaginary
geometry was introduced, so this stuff
is easy for me, here it is again...

h^2 = x^2 + y^2

x=5, y=sqrt(-9),

and in that CS k, x,y are orthogonal and
h = 4,

or in a nonorthogonal CS k',

x'=5,y'=3,h'=4,

where axis y' is oblique to axis x',
and is therefore termed nonorthogonal.

When I got into GR in grade 9-10, (1968)
the GR1916 Eq.(4), was instantly recog-
nizable as an imaginary geometry, trans-
formable to a nonorthogonal (oblique) CS.

I was invited to attend university in
Gr.10, which I did, got private tutoring.

Recall W. Pauli wrote the book "Theory
of Relativity" at age 19, which I still
use as a ref. Of course Pauli was a very
great genius, but it shows that fella's
can learn mathematical physics at an
early age.

In the early 70's I began using the oblique
spacetime CS based on the sig (++++) using
Unit Length = c * Unit Time, in place of
setting Unit Length = sqrt(-1)*Unit Time
in spacetime (that was the convention then),
and I was elated by the ISU 1983 decision
to make L=c*T an official International
Standard of Units.
(Unit Length = c * Unit Time).

I wish there was more data available using
that decision, but here's a brief synopsis,
http://physics.trak4.com/
as it pertains to math-physics/relativity.

The previous work using imaginary geometry
is safe, aside from artifacts, as those
CS's can be transformed to a sig (++++).
Regards
Ken S. Tucker
.



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