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```Having derived his differential equation and subse-
uent tau function based on light moving in both
directions, he then substitutes - for t - an expression
for time that is valid only for one light direction.
This creates a transform formula that could be valid only
for one direction. Substituting the opposite direction
expression is just as invalid, and results in a diff-
erent transform for x to x'.
-----------------------------------------------------------

At one point, Einstein attains a formula for what we'll
call X', the transformed x; it is based on the tau equation
he got from from his differential equation:

X' = c*tau = ac(t-vx'/(cc-vv)).

He then returns to the time arguments of his unknown tau
functions, where he had t=x'/(c-v). He substitutes this
expression into the X' formula above, to get:

X' = accx'/(cc-vv).

Remembering that Einstein's model, his unknown tau functions,
his differential equation, and resultant tau function are
all about light going BOTH directions, we see that using the
time expression for just one light direction is an error, and
time in the other direction, t=x'/(c+v), is just as valid,
- which is to say not at all valid. The algebra works out
just a bit differently:

X' = ac(x'/(c+v)-vx'/(cc-vv)).

= ac(x'(c-v)-vx')/(cc-vv)

= ac(cx'-vx'-vx')/(cc-vv)

= ac(cx'-2vx')/(cc-vv).

QED. Einstein's derivation of the x' transform is invalid
by reduction to the absurd; the transform depends on the
direction of the light movement in the time term substituted
for t in the X'=c*tau equation, an absolute violation of the
principles of Special Relativity. It is one thing to realize
that an expression in one case differs from the other, but
a very different thing to let your one and only transform
formula's derivation depend on an arbitrary choice of just
one light direction.

```

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Last Update March 27 2014 @ 02:12 PM