Home Is Where The Wind Blows

An immortal fumble by Androcles (14-Mar-2004)

GOGI = GIGO
"Harry"  wrote in message
news:3bff5641.0403141111.75d0da8e@posting.google.com...
[snip old crap]

Sticking you head up your arse and ignoring reason and logic is the trait of
the moron, Harald.
Try again and prove what you are, sane or stupid.

That isn't quite correct, Harald.
  http://mcs.open.ac.uk/tcl2/nonE/nonE.html
  http://www-groups.dcs.st-and.ac.uk/~history/Java/Hyperbolic.html

The second shows why cyclotron designers *think* relativity is needed.

The derivation of

	tau = (t-vx/c^2)*beta,
	xi   = (x-vt)*beta,
	eta = y,
	zeta = z.

where beta = 1/sqrt(1-v^2/c^2),

should, if v = 0, lead to

	tau = t,
	xi = x,
	eta = y,
	zeta = z.

However, it doesn't.

The velocity v = x/t, as you learned when you were much younger. Even people
with little mathematics and no calculus understand 60 mph is 60 miles in one
hour. Americans, when asked "How far is it from NewYork to Miami?" will
reply "About 22 hours" instead of "About 1300 miles."

Let us put this known velocity into the equations. We do not need the
instantaneous velocity, the velocity is a constant one.

	xi   = (x- (x/t)*t)*beta,

from which it is then immediately apparent that

	xi   = (x- x)*beta
	     = 0 =/= x
	 for all v.

Yet if we set v = 0 into the original equation,

	xi   = (x- vt)*beta,
	     = (x-0)* beta
  	     = x.          [A]

Nobody said x has to be zero.

	tau = (t-x^2/t.c^2)*beta
	tau = t(1-x^2/t^2.c^2)*beta
  but
	x^2/t^2 = v^2
  and
	(1-v^2/c^2) = beta ^2
  so
	tau = t.beta

Ok, the Lorentz transforms are

	tau= t.beta
	xi  = x when v = 0, otherwise xi = 0,
	eta = y,
	zeta = z.

By the Principle of Relativity, we can consider ourselves at rest, initially
in Miami, and have NewYork come to us. It certainly looks that way on the
plane, the ground is passing beneath us and going backwards.
Now we have
	v = xi/tau,
	  = 0/tau
	  = 0              [B]

Either way, v = 0 [A] or v = 0 [B].

We are simply not allowed to use any other value for v.

But there is more in this much ado about nothing.
The relativist will tell you that the derivation is one of coordinates.
Has not Einstein said "system of coordinates"?
't' is a coordinate, 'tau' is a coordinate.
'x' is a coordinate, and xi is a coordinate.
Has not Einstein said

	@tau/@x' + v/(c^2-v^2).@tau/@t = 0 ?

So,
	@tau/@x' = -v/(c^2-v^2).@tau/@t

What IS @tau/@x' ?
Yeah, it's a partial derivative, we know, but does it have a value?
What if we invert it?
It looks like 1/v to me, and that is division by zero, which is undefined.

Its ok to rotate in the X-Y plane. We can create spirals. We can trade off some
y_LENGTH for some x_LENGTH, which is all a rotation really is, and we can
rotate back again to where we were. Just change the angle from A to-A.
 Try to do that in the X-T plane, would be ok if you could get back to WHEN
you were.
This is why the twin paradox is a simple misunderstanding. Spacetime Physics
is Mathematical Nonsense. It converts the Lorentz transform to a rotation
form, where A = atanh(v), then, when the travelled twin has reached her
destination, flips the coordinates around and rotates forward again, instead
of running time backwards with -A, or -v.
It is of course absurd to run time backwards, but algebra doesn't care.
GOGI = GIGO.

Androcles
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