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Re: Relativity,QM, And Irrationality

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Posted by Robert B. Winn on May 7, 2001 06:24:37 UTC

Einstein's error in Special Relativity can be seen from the Galileian transformation equations, the equations discarded by scientists in favor of the Lorentz equations.

x'=x-vt
y'=y
z'=z
t'=t

Einstein described the results of the Michelson-Morley experiment by two little equations he extracted from the Lorentz equations.

x=ct
x'=ct'

To be brief, what these equations mean is that light travels a distance of x in a time of t, light travels a distance of x' in a time of t'.
The second of these equations cannot be used in the form in which Einstein had it with the Galileian transformation equations because the term t' had already been used in those equations to mean t'=t. If x' is a shorter distance than x, then obviously the time it takes to travel that distance is a shorter time than t'=t. We use t2 to represent this time.

x'=x-vt
x'=c(t2)
c(t2)=ct-vt
t2=t(c-v)/c

c=300,000 km/sec = x/t = x'/[t(c-v)/c]

= (x-vt)/[(ct-vt)/c] =(x-vt)/(t-vt/c)

= (x-vt)/(t-vx/c^2) = (x-vt)gamma/(t-vx/c^2)gamma

gamma = 1/sqrt(1-v^2/c^2)

(x-vt)gamma/(t-vx/cc)gamma=x'Lorentz/t'Lorentz

We see from this that relative to the Galileian transformation equations, x'Lorentz is a longer distance than x', meaning that if x'Lorentz is substituted directly for x' as a distance, there will be a distance contraction necessary to get the distance back to its actual value. Scientists do this by multiplying x'Lorentz by sqrt(1-v^2/c^2) putting the value back to x' as shown in the equation above.
Einstein's second equation should be

x'Lorentz=c(t'Lorentz)

and x'Lorentz should not be used in place of x'.

Robert B. Winn

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