"The Lorentz Transformation for Velocity"

It is recognized that Special Relativity provides the Lorentz
Transformations for Length and Time and Mass between reference frames having
a relative velocity. What is too often not recognized that, in so doing, it
provides the transformations for all other physical quantities! These
remaining transformations may be determined by applying the conventional
Lorentz Transformations to accepted physical equations.

Since a velocity is equal to a length divided by the time required to
traverse that length, the Lorentz Transformation for Velocity must equal the
Lorentz Transformation for Length [1/(1-V^2/C^2)^0.5] divided by the Lorentz
Transformation for Time [(1-V^2/C^2)^0.5]. The Lorentz Transformation for
Velocity is therefore equal to 1/(1-V^2/C^2). (As incredible as it may seem,
the writer has received a communication from an individual who asserts that
a Lorentz Transformation for Velocity cannot be determined by dividing the
Lorentz Transformation for Length divided by the Lorentz Transformation for
Time even though velocity is defined as length divided by time! I suspect
that this individual is a PhD who has a vested interest in maintaining the
intellectual status quo. If he is a physicist he is in the wrong line of
work, I understand
that Walmart is hiring.)

This transformation yields a conclusion which is in conflict with the
current understanding of Special Relativity. Present dogma asserts that the
velocity of light is the same in all velocity reference frames. If one
considers two reference frames, A and B, moving at a relativity velocity V
with respect to each other, one finds that an observer in A measures the
velocity of light in his own reference frame as its conventional value of C
and the velocity of light in B as having been reduced by the Lorentz
Transformation for Velocity. Similarly, an observer in B measures the
velocity of light in his own reference frame as C and the velocity of light
in A as having been reduced by the Lorentz Transformation for velocity.
While superficially this may seem to be a contradiction, the difficulty
vanishes when one factors in the effects of the limit on the velocity of
information transfer imposed by the velocity of light.

We are forced to accept the conclusion, however, that the velocity of
light changes as a result of a change in velocity and that this change in
velocity is concealed by a change in the size of the units of measurement
for velocity (length/time) making it appear that the velocity of light is
the same in both reference frames. In terms of unchanging units of
measurement, the velocity of light does differ between reference frames
which differ in velocity, it only appears to be unchanged when it is
measured within each reference frame. It may be stated, therefore, that
Special Relativity requires that the velocity of light be a "constant" but
cannot be constant between reference frames having a relative velocity. This
conclusion is consistent with the Lorentz Transformation Aether Theory which
asserts that our velocity with respect to the Aether is indeterminate.

However, one may derive more information from Special Relativity.
Consider two velocity reference frames, for example Earth and Mars. (See
http://einsteinhoax.com/cf423.gif.) A rocket is located on Earth and three
identical clocks are in use. One clock is located on Earth, one is located
in the rocket, and the third clock is located on Mars. The observer on Earth
and the observer in the rocket report that their clocks run at the same
speed and that the clock on Mars runs slower due to the relative velocity
between the two locations. The observer on Mars reports that the clocks on
the Earth and on the rocket run slower than his clock.

After the readings have been taken, the rocket takes off and travels to
Mars and stops there. The observer on Earth notes that the speed of the
clock on the rocket has slowed to the speed of the clock on Mars while the
observer on Mars notes that the speed of the clock on the rocket has
increased to match the speed of his own clock which is faster than the speed
of the clock on the Earth. The observer on the rocket does not notice a
change in the speed of his clock, but since he is familiar with Special
Relativity knows that the speed of his clock has changed as a result of his
observed change in velocity but that he cannot observe that change in the
speed of his clock. He observes that the change in velocity of his rocket
has occurred and that the speed of the clock on the Earth has appeared to
slow and the speed of the clock on Mars has appeared to increase. This
observation does not bother him or the other observers since all are
familiar with Special Relativity.

Consider what this thought experiment has shown. It has shown that not
only is it impossible to measure our velocity with respect to the Aether and
hence it is impossible to assert that the Aether does not exist, It has also
shown that Special Relativity requires that there be an absolute velocity
reference frame (i.e.- the Aether). In the Rocket Experiment all three
observers report that the speed of the clock has changed as a result of the
change in the rockets velocity. The observer on Earth asserts that the speed
of the clock on the rocket has slowed, the observer on Mars asserts that the
speed of the clock on the rocket has increased, and the observer on the
rocket asserts that the speed of his clock has changed but that he cannot
observe that change. There is one item of information that all three
observers agree on. The speed of
the clock on the rocket changed as a result of the change in the rocket's
velocity.

One event, the change in speed of the rocket, has caused the speed of
the clock on the rocket to change. Since there was only one causal event,
there can only be one result, the speed of the clock must actually increase
or decrease, it cannot do both! In order for that conclusion to be true,
there must be an absolute reference frame for velocity. The classical
Aether, which cannot be proven not to exist, must exist!

Two objections have been raised to this argument. The first is that it
involves acceleration and Special relativity does not include the effect of
acceleration. This argument is meaningless since no acceleration occurred
when observations were being made. The second argument involves the speed of
communication between the Earth and Mars. This is a foolish argument since
the observations were all made prior to the start and after the finish of
the experiment. The observers could have communicated by pony express
without affecting the conclusions. NOT ONLY DID SPECIAL RELATIVITY NOT
ELIMINATE THE CLASSICAL AETHER, IT REQUIRES THAT THE CLASSICAL AETHER EXIST!

The source material for this posting may be found in
http://einsteinhoax.com/hoax.htm (1997); http://einsteinhoax.com/gravity.htm
(1987); and http://einsteinhoax.com/relcor.htm (1997). EVERYTHING WHICH WE
ACCEPT AS TRUE MUST BE CONSISTENT WITH EVERYTHING ELSE WE HAVE ACCEPTED AS
TRUE, IT MUST BE CONSISTENT WITH ALL OBSERVATIONS, AND IT MUST BE
MATHEMATICALLY VIABLE. PRESENT TEACHINGS DO NOT ALWAYS MEET THIS
REQUIREMENT. THE WORLD IS ENTITLED TO A HIGHER STANDARD OF WORKMANSHIP FROM
THOSE IT HAS GRANTED WORLD CLASS STATUS.

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"Syad" wrote in message
...
"The Lorentz Transformation for Velocity"

This really is well presented crap .. but crap nontheless

It is recognized that Special Relativity provides the Lorentz
Transformations for Length and Time and Mass

mass is the same regardless .. or is this referring to the abstract notion
of reletavistic mass

between reference frames having a relative velocity. What is too often not
recognized that, in so doing, it provides the transformations for all
other physical quantities! These remaining transformations may be
determined by applying the conventional Lorentz Transformations to
accepted physical equations.

Since a velocity is equal to a length divided by the time required to
traverse that length, the Lorentz Transformation for Velocity must equal
the Lorentz Transformation for Length [1/(1-V^2/C^2)^0.5] divided by the
Lorentz Transformation for Time [(1-V^2/C^2)^0.5].
The Lorentz Transformation for Velocity is therefore equal to
1/(1-V^2/C^2).

That is incorrect

see http://en.wikipedia.org/wiki/Velocity-addition_formula

(writing a 2 to indicate sqaured, so c2 is c times c)

t' = gamma (t - vx/c2)
x' = gamma (x - vt)

assume something started at time t=0, x=0 (so t'=0, x'=0) and have moved for
one second at velocity w in S then

t' = gamma (1 - vw/c2)
x' = gamma (w-v)
velocity w' = x'/t' = (w-v) / (1-vw/c2)

in particular, if you look at something travelling at speed c in original
FoR, ie w=c then in the other FoR we get

w' = (c-v)/(1-v/c) = c(c-v)/(c-v) = c

So it is c in both FoR

(As incredible as it may seem, the writer has received a communication
from an individual who asserts that a Lorentz Transformation for Velocity
cannot be determined by dividing the Lorentz Transformation for Length
divided by the Lorentz Transformation for Time even though velocity is
defined as length divided by time! I suspect that this individual is a PhD
who has a vested interest in maintaining the intellectual status quo. If
he is a physicist he is in the wrong line of work, I understand
that Walmart is hiring.)

The individual was correct .. do the math above

This transformation yields a conclusion which is in conflict with the
current understanding of Special Relativity.

Because your calculations are incorrect

Present dogma asserts that the velocity of light is the same in all
velocity reference frames.

Yes

As your formulas are incorrect , we can snip your conclusions

[snip]
NOT ONLY DID SPECIAL RELATIVITY NOT ELIMINATE THE CLASSICAL AETHER, IT
REQUIRES THAT THE CLASSICAL AETHER EXIST!

Complete nonsense

The source material for this posting may be found in
http://einsteinhoax.com/hoax.htm (1997);
http://einsteinhoax.com/gravity.htm (1987); and
http://einsteinhoax.com/relcor.htm (1997).

Nutters web sites

"Jeckyl" wrote in
:

Complete nonsense

The source material for this posting may be found in
http://einsteinhoax.com/hoax.htm (1997);
http://einsteinhoax.com/gravity.htm (1987); and
http://einsteinhoax.com/relcor.htm (1997).

Nutters web sites


The web site owner 'spams' this (and probably other groups) on a regular
basis, morphing the 'from' address to make kill files ineffective.
They ignore cogent critiques of their work.

Do not feed the trolls, ignore them.



--
bz

please pardon my infinite ignorance, the set-of-things-I-do-not-know is an
infinite set.

remove ch100-5 to avoid spam trap