Re: invariance of negative signature of the metric?
- From: "Ken S. Tucker" <dynamics@xxxxxxxxxxxx>
- Date: Sat, 15 Mar 2008 01:18:44 -0700 (PDT)
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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