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<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<meta http-equiv="Content-Language" content="en-us">
<meta name="GENERATOR" content="Microsoft FrontPage 4.0">
<meta name="ProgId" content="FrontPage.Editor.Document">
<meta name="description" content="Explanation of matter and physic laws by standing waves.">
<meta name="keywords" content="physics, matter, standing waves, gravity, Relativity, Lorentz transformation, electron, atom, light, Doppler effect, fields, electricity, magnetism">
<title>The Time Scanner</title>
</head>
<body bgcolor="#E1E1E1">
<p align="center"><font size="4" face="Times New Roman"><a href="matter.htm"><img border="0" src="images/fleche_agg.gif" width="159" height="31"></a><a href="sa_Lorentz.htm"><img border="0" src="images/fleche_ag.gif" width="162" height="31"></a><a href="sa_relativity.htm"><img border="0" src="images/fleche_ad.gif" width="133" height="31"></a><a href="sa_conclusion.htm"><img border="0" src="images/fleche_add.gif" width="146" height="31"></a></font></p>
<p align="center"><font face="Times New Roman" size="6">THE TIME
SCANNER</font></p>
<p align="center"><font size="4" face="Times New Roman"><img border="0" src="images/Time_Scanner_Doppler_01.gif" width="310" height="392"> <img border="0" src="images/Time_Scanner_Doppler_02.gif" width="310" height="392"></font></p>
<div align="center">
<center>
<table border="4" cellpadding="0" cellspacing="6">
<tr>
<td>
<p align="center"><img border="0" src="images/time_scanner_01a.jpg"></td>
<td>
<p align="center"><img border="0" src="images/time_scanner_01.gif" width="400" height="400"></td>
</tr>
</table>
</center>
</div>
<p align="center"><font size="4" face="Times New Roman">The Time Scanner
produces a Doppler effect.</font></p>
<p align="center"><font size="4" face="Times New Roman">Inversely, it may also
correct the Doppler effect, which was Woldemar Voigt's goal in 1887.</font></p>
<p align="center"><font size="4" face="Times New Roman">This device actually
reproduces the Lorentz transformations.</font></p>
<p align="center"><font size="4" face="Times New Roman">If they are applied to a
material body, the result is a length contraction, a slower rate of time and a
time shift.</font></p>
<p align="center"><font size="4" face="Times New Roman">The Time Scanner is highly useful in
order to understand <a href="sa_relativity.htm">Lorentzian
Relativity.</a> </font></p>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<p align="center"><font face="Times New Roman" size="4">Below are three videos
showing this phenomenon more accurately.</font></p>
<p align="center"><font face="Times New Roman" size="4"><a href="mkv/Time_Scanner_Doppler.mkv">Time_Scanner_Doppler.mkv</a></font></p>
<p class="MsoNormal" align="center"><font face="Times New Roman" size="4"><span style="mso-fareast-font-family:"MS Mincho";color:black"><a href="mkv/Twin_Paradox_A_Preferred.mkv">Twin_Paradox_A_Preferred.mkv</a><o:p>
</o:p>
</span></font></p>
<p align="center"><font face="Times New Roman" size="4"><span style="mso-fareast-font-family: MS Mincho; color: black; mso-ansi-language: FR; mso-fareast-language: FR; mso-bidi-language: AR-SA"><a href="mkv/Twin_Paradox_B_Preferred.mkv">Twin_Paradox_B_Preferred.mkv</a></span></font>
<p align="center"><font face="Times New Roman" size="4">You may also examine the
<a href="http://www.freebasic.net/">FreeBASIC</a> programs which produced these
images:</font></p>
<p align="center"><font face="Times New Roman" size="4"><a href="programmes/Time_Scanner_Doppler.bas">Time_Scanner_Doppler.bas</a></font></p>
<p align="center"><a href="programs/Time_Scanner_02.bas"><font face="Times New Roman" size="4">Time_Scanner_02.bas</font></a></p>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<div align="center">
<table border="0" cellpadding="0" cellspacing="0" width="1000">
<tr>
<td width="100%">
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">In
March 2004, I invented a scanner which is capable or reproducing the </font><font size="4" face="Times New Roman"> Lorentz
transformations. The goal was to scan an animated scene in such a way that
Lorentz's contraction occurs. Moreover, a scanner produces an image
where events did not occur at the same time. I managed to scan the scene at different times which match Lorentz's
famous local time, and this is why I called this device "the Time Scanner".</font>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">The Time
Scanner produces a Doppler effect which is clearly visible above.
However, it may correct the Doppler effect as well. Such a
reversibility is also the main characteristic of the Lorentz
transformations. It was pointed out by Henri Poincare in 1904.</font>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">As
shown in the above animation, moving clocks indicate different times
along the line of motion. This local time was discovered by Lorentz
himself, albeit it could be deduced from Voigt's equations. Many successive
images produced this way and displayed as a movie clip would reveal that
the emitter frequency and the equivalent seconds would be slowed down
according to Lorentz's contraction factor g. This was called
"time dilation" but actually, moving clocks cannot transform
time. They just tick slower. In addition, thanks to the vertical scale,
one can check that the wavelength remains constant perpendicularly to
the line of motion: y' =
y; z' = z.
Because the regular Doppler effect produces a wavelength
contraction transversally, this slower Doppler effect is obviously a very special
one.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">And
finally, if the scene contains a lot of material bodies or emitters
whose speed and direction is not the same, the Time Scanner is still capable
of transforming all of them as if they were in a faster or in a slower
frame of reference. It is capable of performing an unlimited number of
transformations on an unlimited number of coordinates. Not just one at a
time. It may also scan an entire 3-D scene, the scanner being a moving
plane.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">Lorentz's
equations simply cannot achieve such a complex result in just one
operation. The Time Scanner proves to be the ultimate tool in order to
study motion mechanics, motion optics, the <a href="sa_Lorentz.htm">Lorentz
transformations</a>, and <a href="sa_relativity.htm"> Relativity.</a></font>
<p align="left"><font size="4" face="Times New Roman"><b>A moving
observer is fooled by the Doppler effect.</b></font></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">It
should be well understood that because
of the Doppler effect, the distance being equal, events observed at the
rear occurred sooner. They are perceived later because the relative
velocity of the waves propagating forward is slower: v' = v * (1 + beta).
It is faster backward: v' = v * (1 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
beta). The moving observer is unaware of this. He doesn't know anything
about his movement and hence, he believes to be at rest. So the time
shift is only the consequence of his error after a clock synchronization
procedure using radio waves whose velocity is similarly distorted. The Time Scanner may correct
this error and show what is really going on.
Inversely, it may rather introduce the error and show what the moving observer
is seeing.</font>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">The
Time Scanner is highly useful because there is no other way to show how
optical phenomena should be seen by any moving observer whatever his
speed. Strangely, he observes that a Doppler effect is present in a
system at rest even though there is none. On the contrary, the Doppler
effect being present in his own environment, he cannot detect it.</font>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">And
because matter consists of waves, the moving observer perceives matter
itself according to the same rules. This is why a moving observer sees a
material body being contracted, behaving slower, and exhibiting local
hours even though it is stationary. As a matter of fact, most probably,
both of them are moving with respect to the aether and their line of
motion differ. But they can only record the speed difference because of
this reciprocity. </font><p align="left"><font size="4" face="Times New Roman"><b>The Lorentz
transformations: a brief reminder.</b></font></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">Hendrick
Antoon Lorentz discovered that if a material structure is moving very
fast:</font><p align="left"><font size="4" face="Times New Roman">1 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
Distances along the displacement axis contract.</font></p>
<p align="left"><font size="4" face="Times New Roman">2 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
All phenomena occur with a slower rate of time, hence clocks indicate slower
seconds.</font></p>
<p align="left"><font size="4" face="Times New Roman">3 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
A time shift occurs, clocks being in
advance at the rear.</font></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">
Lorentz explained that the Michelson interferometer was undergoing a contraction
whose effect was to cancel the speed difference along two orthogonal
axes. It was shown in the previous page that he was aware that his
equations were only a mathematical artifice. Woldemar Voigt's goal (in
1887) was to modify Maxwell's equations in such a way that the results
became invariant whatever the speed of the frame of reference. Except
for Voigt's constant, Lorentz's equations were identical and they were
also applied to Maxwell's equations. This is why his transformations do
not indicate a contraction. They rather indicate longer x' coordinates
in order to restore the initial distances.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">To
cut a long story short, Lorentz's variables x and t should rather
stand for distance and time in a frame of reference which is stationary.
It appears rather illogic that they were applied to the moving frame of
reference. So, in order to indicate matter contraction, Lorentz's
equations must be reversed and transposed this way:</font>
<p align="center"><img border="0" src="images/lorentz03f.gif"></p>
<p align="center"><font size="4" face="Times New Roman">
Lorentz's reversed equations (upper left).</font></p>
<p align="center"><font size="4" face="Times New Roman">The set on the
right is Poincare's symmetric reversed version. It works great!</font></p>
<p align="center"><font size="4" face="Times New Roman">One may retrieve Lorentz's
original equation by extracting the x variable: x = (x' </font><font size="4" face="Times New Roman"> <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
beta * t) / g</font></p>
<p align="center"><font size="4" face="Times New Roman">To achieve the
exact transposition, x and x' must also be swapped: x' = (x <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
beta * t) / g.</font></p>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">This
reversed equation set is highlighting a new approach to the Lorentz
transformations, which now appear quite limpid. Apart from the
translation motion (according to beta * t) and the time shift (according
to <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>beta
* x), it becomes obvious that matter contracts according to g * x and
that clocks indicate slower seconds according to g * t.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">Lorentz's
ideas were clear but unfortunately, his equations were not. In the
context of Einstein's esoteric Special Relativity, the well known gamma
factor, which is given by 1 / g, was misleading. In order to clean up
all this mess, the use of Lorentz's contraction factor g is preferable:</font>
<p align="center"><font size="4" face="Times New Roman">x' = g * x
+ beta * t</font></p>
<p align="center"><font size="4" face="Times New Roman">t' =
g * t </font><font size="4" face="Times New Roman"> <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
beta * x</font></p>
<p align="left"><font size="4" face="Times New Roman"><b>The Lorentz
transformations are absolute.</b></font></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">This
is the correct version of the Lorentz transformations. It is what
Lorentz was well aware of. The aether exists and any speed should
preferably be related to it. Facts, events are absolute but
unfortunately, it turns out that they can never be observed in an
absolute way. They always appear relative so that Relativity is just a mystification. </font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">One
must bear all this in mind while examining the Time Scanner.
Transforming space and time was definitely a strange idea. The
transformations occur solely because the electron frequency slows down.
The Doppler effect produces a contraction (as a matter of fact, <a href="sa_plane.htm">standing
waves</a> contract) along the displacement axis in spite of the longer
overall wavelength. Matter structure is dependent on electrons. Even
empty spaces inside and between material structures contract because the
whole area is filled up with <a href="sa_fields.htm">fields of force</a>
which are also made out of standing waves.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">Obviously,
moving clocks cannot transform time. Their mechanism just slow down
because of the slower electron frequency. They indicate slower seconds
which are inaccurate with respect to standard time, which has been
adopted as a convention. Such a time is absolute whatever the actual
speed of the frame of reference where it is observed.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">It
was decided years ago that, in order to avoid the transformation of a
material reference, whatever the cause, the meter length should be given
by a wavelength and that the second duration should be given by a
frequency. Some day the ultimate reference will be the electron
wavelength and frequency. The electron wavelength reference is accurate
at any speed at least along the y and z Cartesian axes according to
Lorentz: y' = y; z' = z. In this context, Lorentz's x and x' variables
do not apply to space. They rather apply to the electron standing waves
along the displacement axis. The t and t' variables do not apply to
time, they apply to the electron frequency.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">Einstein's
Special Relativity was totally unable to reconcile more than two frames
of Reference. Only two frames of reference were still quite hard to
explain because the results lead to a lot of paradoxes. Contradictions,
actually.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">The
Time Scanner is free from paradoxes. It is capable of dealing with an
unlimited number of frames of reference. It may accelerate the whole
scene or slow it down as well. It especially shows that, in the presence
of two frames of reference, one can introduce a third one whose speed is
intermediate and where no contraction or time dilation occurs. For this
reason, this frame of reference is a <b><i>preferred</i></b> one. This
behavior is clearly visible in the animation shown above because the
text and the stationary graphics do not change.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">Introducing space
and time transformation was a mistake. Under certain conditions, they do not
transform in spite of the fact that, nevertheless, material bodies still
transform physically and mechanically according to Lorentz.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">Invoking
such a strange hypothesis becomes unnecessary. Moreover, Euclidean geometry
is simpler than non-Euclidean.</font> <font face="Times New Roman" size="4">Frankly,
why not
consider that space and time never transform? </font></td>
</tr>
</table>
</div>
<p align="center"><font size="4" face="Times New Roman"><b> </b></font></p>
<p align="center"><img border="0" src="images/ligne02.gif" width="559" height="10"></p>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<p align="center"><font size="4" face="Times New Roman"><b>CALCULUS AND
PROCEDURE</b></font></p>
<p align="center"><font size="4" face="Times New Roman"><b> </b></font></p>
<p align="center"><img border="0" src="images/scanner01.gif" width="640" height="114"></p>
<p align="center"><font size="4" face="Times New Roman">beta =
0.866 (rightward).</font></p>
<p align="center"><font size="4" face="Times New Roman">Contraction: g = 0.5
light-second.</font></p>
<p align="center"><font size="4" face="Times New Roman">Time shift: t' = <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span><span style="font-family: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA" lang="FR-CA">beta</span>
= <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>.866
second. </font></p>
<p align="center"><font size="4" face="Times New Roman">Here, contraction is
performed using a slower print speed.</font></p>
<p align="center"><font size="4" face="Times New Roman">This alternative method
also reproduces the Lorentz transformations.</font></p>
<p align="center"><font size="4" face="Times New Roman"><b> </b></font></p>
<div align="center">
<table border="0" cellpadding="0" cellspacing="0" width="1000">
<tr>
<td width="100%">
<font face="Times New Roman" size="4">
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The Time Scanner may
contract the frame of reference by moving it according to the
"alpha" speed (see below). In this case, the scan speed and
the print speed are the same. However, the animated Gif shown above uses
a slower print speed in order to achieve the same result. In this case,
the frame of reference to be transformed does not move.<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The
result is consistent with the Lorentz transformations. The x =
<span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–1</span>
coordinate transforms to x' = <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>0,5
light-second according to Lorentz's contraction factor g. Whatever the
delay, the clock in the front is late with respect to the other one at
the rear. This "local time" is given by: <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>beta
for every x = 1 light-second before contraction occurred. One should
bear in mind that moving clocks also run slow compared to stationary
ones.
<p align="left"><b>The scan speed is that of the phase wave.</b></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The phase wave was Louis de Broglie's discovery but is is a mere consequence of the Lorentz
transformations. It follows coordinates in the line of motion
where the t' time remains the same. The Time Scanner also follows those
coordinates in order to finally obtain a full
image where the t' time seems to be the same as seen by a moving
observer.<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The
phase wave velocity is always faster than the speed of light. It is
given by: c ^ 2 / v meters per second or by: 1 / beta light-seconds per
second (or wavelengths per wave cycle). It is
</font><font face="Times New Roman" size="4"> well visible in the
animation below showing the moving electron on the right:
<p align="center"><img border="0" src="images/electron.5_couleur.gif"></p>
<p align="center">The static electron (left) and the moving electron
(right).</p>
<p align="center">Please observe the vertical dark stripes regularly
spaced which are moving to the right: this is the phase wave.</p>
<p align="center">Scanning the image on the right in-between the stripes
at the same speed produces an image of the static electron.</p>
<p align="center">Reciprocally, scanning the image on the left at the
same speed produces an image of the moving electron.</p>
<p align="center">Such a result is amazing. It explains Relativity.</p>
<p align="center"> </p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">You may also examine the movie
clip below, which shows plane waves, then curved waves producing
interferences. The white cursor follows the resulting phase wave:
<p align="center"><a href="mkv/Phase_Wave.mkv"><span style="mso-fareast-font-family: MS Mincho">Phase_Wave.mkv</span></a></p>
<p align="center"><span style="mso-fareast-font-family: MS Mincho">Program:
</span><a href="mkv/Phase_Wave.bas"><span style="mso-fareast-font-family: MS Mincho">Phase_Wave.bas</span></a><span style="mso-fareast-font-family: MS Mincho">
</span><a href="mkv/Phase_Wave.exe"><span style="mso-fareast-font-family: MS Mincho">Phase_Wave.</span></a><a href="mkv/Phase_Wave.bas"><span style="mso-fareast-font-family: MS Mincho">exe</span></a></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">This is the most
obvious effect of a scanner. If it scans an animated scene, the result
is a still image where events did not occur at the same time. The Time
Scanner really scans the time.
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">In the animation at
the beginning of this page, the Scanner transforms regular concentric
waves into non concentric ones which are undergoing the Doppler effect.
During the same process, the moving scale and clocks shrink according to
Lorentz's factor g. And finally, the clocks indicate Lorentz's local
time. The forward and backward wavelength is measurable thanks to the
graduated scale. It is easily verifiable that instead of the regular 1 +
beta and 1 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
beta, the wavelength is modified according to (1 + beta)
/ g and (1 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
beta) / g.<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The longer
than expected wavelength is caused by the slower frequency.
Perpendicularly to the line of motion, the normal wavelength contraction
according to g is canceled for the same reason. This result is
consistent with Lorentz's calculus:
y' = y; z' = z and additionally, it indicates that events in this moving
system occur at a slower rate of time.
<p align="left"><b>The scan speed.</b></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">By trial and error,
one easily comes to the conclusion that a given scan speed always
produces the same Doppler effect whatever the frequency. The forward vs.
backward wavelength ratio is given by:
<p align="center">R = (1 + beta)
/ (1 <span lang="FR-CA" style="font-size:12.0pt;font-family:
"Times New Roman";mso-fareast-font-family:"Times New Roman";mso-ansi-language:
FR-CA;mso-fareast-language:FR;mso-bidi-language:AR-SA">–</span> beta) </p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">For example,
considering that beta is 0.866 (g = 0.5), the ratio is: R = 13.928.<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">Let's
say that V stands for the scan speed. It is a normalized speed (c = 1)
so that it is given in light-seconds per second or in wavelengths per
cycle. While the scanner is in front of the emitter, the waves are
traveling towards it and their relative speed is V + 1. After having
crossed the emitter, the scanner and the waves are moving in the same
direction so that the relative speed is rather V <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
1. Naturally, the goal is to obtain the same ratio R as mentioned above.
One must respect the following equation;
<p align="center">(V + 1) /
(V <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
1) = (1 + beta)
/ (1 <span lang="FR-CA" style="font-size:12.0pt;font-family:
"Times New Roman";mso-fareast-font-family:"Times New Roman";mso-ansi-language:
FR-CA;mso-fareast-language:FR;mso-bidi-language:AR-SA">–</span> beta)</p>
<p style="text-indent: 35.4pt; text-align: justify">Simplifying :</p>
<p align="center">V = 1 / beta</p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The scan speed must
be 1.1547 light-second in order to obtain the 13.928 forward vs.
backward wavelength ratio. It should be emphasized that this speed
coincides with that of the the famous "phase wave" discovered
by Louis de Broglie (V = c ^ 2 / v). One may then search for the correct
print speed which must produce Lorentz's local time according to <span lang="FR-CA" style="font-size:12.0pt;font-family:
"Times New Roman";mso-fareast-font-family:"Times New Roman";mso-ansi-language:
FR-CA;mso-fareast-language:FR;mso-bidi-language:AR-SA">–</span>beta and
Lorentz's contraction according to g. Any incorrect print speed is very
easy to detect to a first approximation anyway because it produces
elliptic waves.<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">It
will be shown below that the scan speed may preferably be the same as
the print speed, which is given by: g / beta. In this case, the frame of
reference to be transformed (according to beta) must be moved according
to the intermediate speed: alpha = (1 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
g) / beta. This motion cancels the effects of the slower scan speed.
<p align="left"><b>The print speed.</b></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">If the frame of
reference to be transformed remains immobile, the print speed "Vp"
must be slower than the scan speed in order to produce a contraction
according to Lorentz's factor g.<p align="center">V<sub>p</sub>
= g / beta</p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">If beta is 0.866,
the print speed must be two times (1 / g = 2) slower than the scan
speed, that is to say 0.57735 light-second per second instead of 1.1547.
In practice, one must choose the print speed which produces spherical
waves. This method leads to Lorentz's contraction factor g without the
help of Lorentz.<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">It
should be remembered that <a href="sa_plane.htm">standing waves</a>
contract. According to Michelson's calculus, the frequency does not
change. In this case, standing waves contract
according to Lorentz's factor g <b><i> squared</i></b> in the line of
motion and they
contract according to g (not squared) perpendicularly to the line of
motion:
<p align="center"><img border="0" src="images/lorentz02.gif"></p>
<p align="center"> beta
= 0.866</p>
<p align="center">g = 0.5.</p>
<p align="center">The contraction of the Michelson interferometer according to Michelson's calculus is
too severe.</p>
<p align="center">According to Lorentz, the frequency must slow down in
order to avoid the transverse contraction.</p>
<p align="center"> </p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">Michelson was
unaware of the slower frequency. This is why his calculus was wrong.
Woldemar Voigt was surely on the right track because he introduced a
constant in order to modify the frequency. He could elaborate an
equation set whose goal was to correct the Doppler effect when applied
to Maxwell's equations. Unfortunately, he could not find the exact value
of the constant, which equals 1 according to Lorentz. In addition, the constant was incorrectly placed in the
t' equation. Below is the corrected and inverted version of the
Voigt transformations. The frequency remains unchanged on the condition
that Voigt's constant equals g.
<p align="center"><img border="0" src="images/lorentz03d.gif"></p>
<p align="center">The corrected and inverted Voigt transformations.</p>
<p align="center">When k = g, one obtains the regular Doppler effect
without any frequency shift.</p>
<p align="center">In this case, if x = 0, the t' equation simplifies
to: t' = t.</p>
<p align="center"> </p>
<p align="center"><img border="0" src="images/lorentz03f.gif"></p>
<p align="center">The inverted Lorentz transformations.</p>
<p align="center">This equation set is obviously identical to Voigt's
one, except for the unnecessary constant k = 1.</p>
<p align="center">The upper right symmetric equation set is Poincare's
reversed one.</p>
<p align="center"> </p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"> Woldemar Voigt was
not sure how the transformations should apply. Lorentz showed in 1895
that, whatever the value of the constant might be, the Michelson
interferometer should <b><i>expand or contract</i></b> in such a way
that it should yield a null result. Apparently, it was Joseph Larmor who
firstly suggested that no contraction should occur transversally, but
his equations are not consistent with this assertion. As far as I know,
it was Lorentz who firstly found that Voigt's constant k should be equal
to 1 because this information was related in Poincare's book in 1901.
However, Lorentz's work was published in 1904, well after Poincare came
to the same conclusion by means of the "least action
Principle".<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">If k
= 1, the frequency of a moving emitter slows down according to g in
order to cancel the orthogonal contraction.</font> <font face="Times New Roman" size="4"> This
is consistent with the Time Scanner results: no wavelength contraction
occurs transversally:
<p align="center">y ' =
y z ' = z</p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">Programmers are well
aware that a mathematical error leads to noticeable results most of the
time. If a formula is incorrect, they are promptly informed of it. This
is the chief advantage of a computer: equations are verified. The
computer indicates that Voigt's and Lorentz's reversed equations as
established above are correct because they produce a nice Doppler
effect. On the contrary, they <b><i>do not</i></b> work correctly in
their original form because they clumsily indicate an unnecessary
space-time transformation. The computer cannot handle (fortunately!)
such a strange concept, actually a "mathematical artifice"
whose Lorentz was well aware of. Check by yourself:<p align="center"><a href="programs/Doppler_Voigt_transformations.bas">Doppler_Voigt_transformations.bas</a>
<a href="programs/Doppler_Voigt_transformations.exe">Doppler_Voigt_transformations.exe</a> </p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The program must
apply the transformations separately to all x, y coordinates. The Time
Scanner is way more efficient and versatile. It shows in a more dramatic
way how waves and matter react to motion. What's more, the results are
consistent with Relativity.<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">The
point is that the Time Scanner produces a contraction which proves to be
unavoidable. For example, I could show that, thanks to the
Delmotte-Marcotte virtual medium, the parabola of a fast moving emitter
must contract in order to correctly reflect the Doppler-transformed
waves. The movie clip below is very clear on this fact:
<p align="center"><a href="mkv/Bradley_Aberration_Plain.5c.mkv"><span style="mso-fareast-font-family: MS Mincho">Bradley_Aberration_Plain.5c.mkv</span></a></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify">Matter contraction
cannot be considered as an unnecessary hypothesis any longer. It is a
true fact and it must be admitted right now because it is easily
verifiable. By rejecting it and replacing it with space transformation,
Poincare and Einstein made a serious error. The Time Scanner and the
Delmotte-Marcotte virtual medium are powerful tools but unfortunately,
they were missing at the epoch. Starting from now, thanks to them,
scientists will discover more and more proofs that Lorentz was on the
right track.</font>
<p align="left"><font size="4" face="Times New Roman"><b>The amazing "alpha"
speed.</b></font></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">Lorentz's
contraction may preferably be obtained by moving the whole frame of
reference according to an intermediate "alpha" speed. This
speed may be considered that of a <b><i>preferred frame of reference</i></b>
which is commonly admitted in Lorentzian Relativity. The alpha speed is
the intermediate speed between zero and beta, and this is why I named it
"alpha". However, because the speed scale is not a linear one,
one must rely on Poincare's law of speed addition below:<p align="center">beta'' =
(beta + beta') / (1 + beta * beta')</p>
</font><p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">In
the present case, beta and beta' are equal so that the formula may be
simplified. As seen from the preferred frame of reference, the two other
ones are moving at the same speed but in opposite directions. As seen by
the moving observers, the preferred frame of reference is moving at the
alpha speed and the other one is moving at the beta speed. It will be
shown below that this preferred frame of reference can be considered to
be immobile with respect to the aether, making his measures for space
and time becoming <b><i>absolute</i></b>.</font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">The
Time Scanner transforms the preferred frame of reference the way it
appears as seen by the moving observers. Hence, its speed seems to be
beta. The interesting point is that it will <b><i>not</i></b> transform
unmoving matter, emitter, scale or whatever. The scale especially
becomes a very reliable reference for comparing the resulting lengths.
Actually, <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>alpha
just becomes + alpha so that the scale length remains unchanged. The
time t and t' also remains unchanged where x = 0, but the time shift is
reversed.</font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">The
goal is to obtain the alpha speed. Poincare's formula may be simplified:</font></p>
<font face="Times New Roman" size="4">
<p align="center">beta = (2 * alpha) / (1 + alpha ^ 2)</p>
<p align="center">beta = 2 / (1 / alpha + alpha)</p>
<p align="center">alpha = (1 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
sqr(1 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
beta ^ 2)) / beta</p>
<p style="text-indent: 35.4pt; text-align: justify">...integrating
Lorentz's contraction factor g:</p>
<p align="center"> alpha = (1 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
g) / beta</p>
<p align="center"> </p>
</font>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">Lorentz's
factor is given by: g = sqr(1 <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
beta ^ 2). Finally, the Time Scanner produces a contraction according to
g because the alpha speed is calculated according to g. All frames of
reference must be previously transformed according to beta <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
alpha. There is no need to transform the preferred frame of reference
whose speed is alpha because alpha <span lang="FR-CA" style="FONT-FAMILY: Times New Roman; mso-fareast-font-family: Times New Roman; mso-ansi-language: FR-CA; mso-fareast-language: FR; mso-bidi-language: AR-SA">–</span>
alpha is nil.</font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">Because
the preferred frame of reference moves, the scan speed must be slowed
down in order to compensate this movement. Another stunning effect of
this method is that the scan speed and the print speed become equal:</font></p>
<p align="center"><font size="4" face="Times New Roman">V
= V<sub>p</sub> = g / beta light-second
per second.</font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">The
animation in the beginning of this page was processed this way. This is
why the immobile scale indicating the x and x' magnitudes does not
transform. Such magnitudes become absolute and may be successfully
applied to all other transformed frames of reference. One may proceed to
more transformations again and again and the same scale will remain
unchanged indefinitely. The space and time units become invariable. It
was shown above that transverse distances never change either. Thus, the
so-called "space-time" transformation appears unnecessary, if
not ridiculous.</font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">Another
interesting effect of the "alpha method" is that the static
graphics and text are copied to the final image without any
modification, hence without artifacts. On
the contrary, the slower print speed produces annoying effects and the
final image is smaller than the original one.</font></p>
<p align="left"><font size="4" face="Times New Roman"><b>No paradoxes
any more thanks to the preferred "alpha" frame of reference.</b></font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">This
procedure using a preferred frame of reference which is moving at the
intermediate speed alpha is more intuitive. The observer moving along
with it is entitled to record and release results which are acceptable
for all other observers. On the contrary, Einstein's Relativity systematically leads to
"paradoxes". Contradictions, actually.</font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">The
Train and Tunnel Paradox is a good example. Let's suppose that a tunnel
and a train at rest have the same length. In the eyes of an observer
which is immobile with respect to the tunnel, the train moving very fast
seems to be shorter. If the observer is in the train, the tunnel seems
shorter instead. However, if the observer moves at the intermediate
"alpha" speed, the train and the tunnel lengths do not change
and clocks are ticking at the same rate. This point of view appears more
acceptable for all three observers although the train <b><i>or</i></b>
the tunnel really becomes shorter because of its absolute faster motion.
The good news is that there is no space-time transformation to consider
any more. The same distance and time units should preferably be adopted
as a universal convention but the transposition to every other frame of
reference is still necessary in order to explain the <b><i>apparent</i></b>
effects of the Lorentz transformations.</font><p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">This
is why the relative speed of electrons or protons traveling in opposite
directions in the Large Hadron Collider may reach nearly twice the speed
of light. If the observer was moving along with them, their apparent
relative speed would be nearly the speed of light only, hence <b><i>two
times slower</i></b>. This point of view where the collider itself seems
to move at the alpha speed appears less interesting, unacceptable
actually.</font><p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">For
the same reason, our galaxy must preferably considered to be immobile.
This is important in order to explain why very distant galaxies are
moving away from it in opposite directions at nearly the speed of light.
If our galaxy was really moving at nearly the speed of light, it would
be difficult to explain why some of them are nevertheless moving that
fast in the same direction as it. There is still no certitude, but an
acceptable consensus which is free from space or time transformations is
better than a theory leading to unexplainable paradoxes.</font>
<p align="left"><font size="4" face="Times New Roman"><b>The Alpha Speed
and Einstein's General Relativity.</b></font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">The
alpha speed will very likely be recognized as a major innovation. It
explains Relativity without the need for transforming space and time and
without being puzzled by paradoxes any more. It is the basis of two new
sciences, motion mechanics and motion optics. It will lead to a
comprehensive upgraded version of Lorentz's Relativity which will
replace Einstein's General Relativity.</font>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">The
remaining task will be to measure the effects of gravity and
acceleration, which are equivalent according to Einstein. Those effects
being measurable, this is no problem at all.</font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">The
important point is that the alpha speed is a real one. It is the speed
of all <a href="sa_fields.htm">fields of force</a> because they are
standing between two electrons or other particles and hence, between two
moving pieces of matter. From this point of view, Newton's laws still
hold true in spite of the Lorentz transformations. The Lorentz force for
example becomes much more understandable because moving electrons are
oscillating slower. The addition to waves emitted by unmoving electrons
produces a phase rotation which explains very well all electromagnetic
phenomena.</font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">This
is indeed what the Time Scanner reveals.</font>
<p align="left"><font size="4" face="Times New Roman"><b>The Twin
Paradox.</b></font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">The
alpha speed allows one to easily explain the twin paradox because they
seem to get older at the same rate as observed from an intermediate
"alpha" point of view. They seem to move in opposite directions
and at the same speed so that there is no unusual time effect, hence no
paradox.</font><p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">However, most discussions about this paradox aroused from
the fact that, in order to verify their age difference without any
doubt, the twins must be reunified. Then the question is: where will
they meet? At least one of them must decelerate and/or accelerate and in
this case his inertial frame of reference is no longer the same. </font><p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">From
the "alpha" point of view, though, the slower twin would
definitely become older .</font>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">On
se rappellera l'histoire du "bon petit diable" qui tire une
cage d'ascenseur. Cet "effet d'ascenseur" est toujours très
perceptible et mesurable pour tout observateur qui accélère ou qui
ralentit. Au lieu de recourir à un petit diable, qui est une image
empruntée à Maxwell, on peut avantageusement considérer qu'on met en
marche la fusée d'un vaisseau spatial. Puisqu'on ignore la vitesse
absolue, cela peut se traduire aussi bien par une accélération que par
un ralentissement. Mais "l'observateur alpha" peut facilement
chiffrer la modification de vitesse qui s'ensuit de son point de vue. Il
peut donc chiffrer aussi les variations dans l'heure que les horloges
indiquent, tout comme le vieillissement particulier du jumeau concerné.</font>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">Si
les jumeaux avaient le même âge au départ d'un "référentiel
privilégié alpha", je peux donc confirmer que s'ils y reviennent
après avoir effectué un trajet identique selon eux et selon
l'observateur alpha, ce trajet n'étant pas identique dans les faits,
ils arriveront néanmoins au même moment auprès de l'observateur alpha
sans constater de différence d'âge. Ça se calcule très bien en évaluant
un certain nombre de possibilités dans un contexte absolu, selon
Lorentz. Même si leur vitesse absolue n'est pas la même, la somme des
transformations temporelles est toujours la même pour les deux.</font>
<p style="text-indent: 35.4pt; text-align: justify"><font size="4" face="Times New Roman">Jusque
là, il n'y a donc pas de paradoxe pour personne. Le problème, c'est
que si un seul des jumeaux se déplace, les plus farouches défenseurs
de la théorie d'Einstein font alors intervenir des effets temporels
additionnels attribuables à l'accélération ou au ralentissement pour
éviter la contradiction. Ils n'ont pas encore réalisé que <b><i>ces
effets sont mesurables</i></b>. Un jour, on les mesurera et ils devront
donc faire face à leurs erreurs.</font>
<p align="left"><font face="Times New Roman" size="4"><b>Scanning
spherical standing waves.</b></font></p>
<p style="text-indent: 35.4pt; text-align: justify"><font face="Times New Roman" size="4"><span lang="FR-CA">One
can also obtain a picture of my moving electron by scanning regular <a href="sa_spherical.htm">spherical
standing waves</a>. </span></font></td>
</tr>
</table>
</div>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<div align="center">
<center>
<table border="4" cellpadding="0" cellspacing="6">
<tr>
<td>
<p align="center"><img border="0" src="images/scanner02.gif" width="480" height="217"></td>
</tr>
</table>
</center>
</div>
<p align="center"><font size="4" face="Times New Roman">The Time Scanner
produces a picture of my moving electron by scanning spherical standing
waves.</font></p>
<p align="center"><font size="4" face="Times New Roman">De Broglie pointed out
that the time shift produces a faster than c phase wave, which becomes visible here.</font></p>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<div align="center">
<table border="0" cellpadding="0" cellspacing="0" width="1000">
<tr>
<td width="100%">
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">Here
is a video showing how the Time Scanner can correct the Doppler effect,
the time shift, the time dilation and the contraction according to
Lorentz's equations. Amazingly, all this is performed in just one
operation. Please note that your AVI Player may take many seconds for downloading the file, so you may prefer right click and
save on your hard disk first:</font>
<p align="center"><font face="Times New Roman" size="4"><a href="avi/The_Time_Scanner_01.avi">The_Time_Scanner_01.avi</a></font></p>
<p class="MsoTitle" style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">In
this video,
the Scanner cancels the Doppler effect, so it is consistent with
Lorentz's original equations. However, it can rather produce a Doppler
effect where there is none by reversing the scanning direction. It can
even accelerate or reduce an already existing Doppler effect to a faster
or slower speed. The modified system cannot reach the speed of light,
which is also consistent with Relativity.</font>
<p align="left"><font size="4" face="Times New Roman"><b>Scanning
forward.</b></font></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">The forward direction
performs the opposite effects. It is possible
because the Lorentz transformations are perfectly reversible. Reversing the scan direction reverses the results the same way
Henri Poincaré found for Lorentz's equations (see also below). Then the
Time Scanner cancels the
transformations, hence the Doppler effect, but also the contraction and
the phase/time shift. So it produces exactly the same effects as Lorentz's original equations,
whose purpose was to
achieve Maxwell's
equations invariance.</font>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">Here
is a video showing this:</font>
<p align="center"><font face="Times New Roman" size="4"><a href="avi/The_Time_Scanner_02.avi">The_Time_Scanner_02.avi</a></font></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">
Below
is another video showing better the same phenomenon without the Scanner.
Please note that Lorentz's time shift is actually a phase shift which becomes
well visible if the emitter is a hoop. So the emission process begins at
the
rear; it is not
simultaneous for a given circular wave front. This
phenomenon is especially amazing.
</font>
<p align="center"><font face="Times New Roman" size="4"><a href="avi/Doppler_Lorentz_2D_standing_waves.avi">Doppler_Lorentz_2D_standing_waves.avi</a></font></p>
<p align="left"><b><font size="4" face="Times New Roman">The phase wave.</font></b></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4"><span lang="FR-CA">The time shift produces a phase wave, which was as
far as I know discovered by Louis de Broglie and whose speed is 1 / beta
wavelengths per period (or light seconds per second). It is clearly visible on the right part of the
animation below (vertical stripes moving forward). Surprisingly, the
scan line follows exactly this phase wave, where the t' time
theoretically does not
change. So it finally produces a picture where clocks are perfectly
synchronized: they indicate the same time everywhere.</span></font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">
<span lang="FR-CA">It turns out that the scan speed is actually that of
the phase wave: 1 / beta wavelengths per period.</span></font></td>
</tr>
</table>
</div>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<div align="center">
<center>
<table border="4" cellpadding="0" cellspacing="6">
<tr>
<td>
<p align="center"><img border="0" src="images/scanner02a.gif" width="489" height="257"></td>
</tr>
</table>
</center>
</div>
<p align="center"><font face="Times New Roman" size="4">Inversely, scanning my moving
electron produces a picture of regular spherical standing waves.</font></p>
<p align="center"><font size="4" face="Times New Roman">On the one hand, the
Time Scanner produces or corrects the Doppler effect.</font></p>
<p align="center"><font size="4" face="Times New Roman">On the other hand, the
same procedure produces or corrects the Lorentz transformations.</font></p>
<p align="center"><font size="4" face="Times New Roman">This is a flawless
proof that the Lorentz transformations are just a Doppler effect.</font></p>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<div align="center">
<table border="0" cellpadding="0" cellspacing="0" width="1000">
<tr>
<td width="100%">
<p align="left"><b><font size="4" face="Times New Roman">The Time
Scanner can handle more complex systems.</font></b></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">The
Time Scanner can also show the
way many objects moving at different speeds and along different axes
would be transformed if their frame of reference was accelerated, slowed
down, stopped and even accelerated in the opposite direction. On the
contrary, the Lorentz transformations can handle only one object at a
time and it cannot accelerate or decelerate it from a given speed to
another one.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font face="Times New Roman" size="4">The relativistic law of speed addition
was worded by Henri Poincare in his 1901 "Electricity and
optics" book, well before Einstein did. Because the Time Scanner never produces
faster than light speeds, it also perfectly handles the relativistic law
of speed addition. So it can accelerate the moving gear below again and
again and despite this, it will never reach the speed of light.</font></td>
</tr>
</table>
</div>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<p align="center"><img border="0" src="images/scanner07.gif" width="476" height="355"></p>
<p align="center"><font face="Times New Roman" size="4">Here, a system at rest
(on the left) is accelerated to 0.866 c.</font></p>
<p align="center"><font face="Times New Roman" size="4"> </font></p>
<p align="center"><img border="0" src="images/scanner10.gif" width="476" height="355"></p>
<p align="center"><font face="Times New Roman" size="4">Here is how an
accelerated rotating
wheel and its different gear systems would look like.</font></p>
<p align="center"><font face="Times New Roman" size="4">The Time Scanner
also performs the <b><i> law of speed addition</i></b>, where the speed of light is never
attained.</font></p>
<p align="center"><font face="Times New Roman" size="4">Lorentz's equations
cannot handle so many transformations simultaneously.</font></p>
<p align="center"><font face="Times New Roman" size="4">Einstein's Relativity
is totally useless here because it leads to many paradoxes, not to say contradictions.</font></p>
<p align="center"><font face="Times New Roman" size="4">For example,
Ehrenfest's paradox is no longer relevant because moving matter
contracts, not space.</font></p>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<div align="center">
<table border="0" cellpadding="0" cellspacing="0" width="1000">
<tr>
<td width="100%">
<p align="center"><font size="4" face="Times New Roman"><b>MR.
SERGE CABALA'S ANIMATIONS</b></font></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">Here
is the link to Mr. Cabala's web page:</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman"><a href="http://ondes-relativite.info/">http://ondes-relativite.info/</a></font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">There
is a very interesting animation there showing a piston machine with its
fly wheel. It seems distorted in a rather strange way, but it is correct
because the Time Scanner would also produce this result. This
indicates that Mr. Cabala fully understands the Lorentz
transformations. By 1975, he was the first person on this planet to speak
about matter's unique wave nature. He also showed that Lorentz's Relativity is
consistent with the aether.</font>
<p align="center"><font size="4" face="Times New Roman"><b> </b></font></p>
<p align="center"><font size="4" face="Times New Roman"><b>RULING
OUT ELECTROMAGNETIC WAVES</b></font></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">Woldemar
Voigt showed in 1887 that the Doppler effect could be cancelled using a
transformation equation set very similar to Lorentz's. Voigt,
Lorentz and Poincaré were all using Maxwell's equations. So most
scientists linked the Lorentz transformations to any "electromagnetic" phenomena.</font>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">In
addition, Poincare rejected Lorentz's theory about matter contraction.
As soon as 1901, in his book "Electricity and Optics", he pointed out
that it looked much like a strange "coup de pouce" (a
helping hand) from Nature. This did not satisfy him. His own idea was
that optical phenomena behave according to the relative motion of matter
present. In his picture, there is no preferred frame of reference any more. This is
clearly identical to Einstein's 1905 Special Relativity and it should be
emphasized that it was published in 1901.</font>
<p align="center"><img border="0" src="images/Poincare_coup_de_pouce.gif" width="458" height="424"></p>
<p align="center"><font size="4" face="Times New Roman">Poincare's
famous "coup de pouce" from in his 1901 book "Electricity and
optics".</font></p>
<p align="center"><font size="4" face="Times New Roman"><b> </b></font></p>
<p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">However,
scientists should realize today that matter really contracts because it
exhibits wave properties. There is no "coup de pouce" any
more. Let's be clear: Poincaré was wrong. He was a fantastic mathematician, but one can
nevertheless find in his works many surprising, indeed disputable thoughts about physics.
It is also
a well known fact that Einstein was well aware of Poincare's ideas from
1901 to 1905. In spite of that, he wrote his own 1905 paper without any
reference to him and "his" theory finally triumphed.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">All
physicists in radio-electricity know that Maxwell's equations lead to
unbelievably complex
calculus. Poincare's 1901 book is especially exhaustive. </font><font size="4" face="Times New Roman">However,
it turns out that Maxwell's equations are totally useless here. The scanner procedure shows that
the Lorentz transformations also work with <b><i>regular waves,</i></b> not just with Maxwell's equations. The Lorentz transformations are simply linked to
the Doppler effect.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">This
is of the utmost importance.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">My
page on standing waves shows that they undergo the Lorentz
transformations. This seems to have been discovered by <a href="http://www.keelynet.com/spider/b-104e.htm">Mr.
Yuri Ivanov</a><a href="http://www.keelynet.com/spider/b-104e.htm">.</a>
He also used this property to explain matter contraction, but unfortunately he
used his own <a href="http://www.keelynet.com/spider/b-107e.htm">Ivanov's
transformations</a> (1981) which coincide with Michelson's incorrect calculus. Mr. Ivanov nevertheless performed
<b><i> two significant</i></b>, indeed
brilliant steps towards the truth. The rest of his work about "rhythmodynamics"
and antigravity appears rather weird, though.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">Matter
transforms because it acts
and reacts using waves. Such interactions and forces also undergo the
Doppler effect. So they must also undergo the Lorentz transformations, and
this leads to Relativity.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">On
the one hand, <i><b>matter waves</b> </i> and <b><i>force waves</i></b>
should transform the way
Lorentz discovered.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">On
the second hand, Relativity is definitely true and it involves the Lorentz
transformations.</font><p style="TEXT-INDENT: 35.4pt; TEXT-ALIGN: justify"><font size="4" face="Times New Roman">One
should draw the following conclusion:</font></td>
</tr>
</table>
</div>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<div align="center">
<center>
<table border="4" cellpadding="20" cellspacing="6">
<tr>
<td>
<p align="center"><font size="4" face="Times New Roman">Relativity strongly indicates that matter is made of waves.</font></td>
</tr>
</table>
</center>
</div>
<p align="center"><font size="4" face="Times New Roman"> </font></p>
<p align="center"><font size="4" face="Times New Roman"><a href="matter.htm"><img border="0" src="images/fleche_agg.gif" width="159" height="31"></a><a href="sa_Lorentz.htm"><img border="0" src="images/fleche_ag.gif" width="162" height="31"></a><a href="sa_relativity.htm"><img border="0" src="images/fleche_ad.gif" width="133" height="31"></a><a href="sa_conclusion.htm"><img border="0" src="images/fleche_add.gif" width="146" height="31"></a></font></p>
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<p align="center"> </p>
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<td width="100%">
<p style="text-indent: 35.4pt" align="left">
<font face="Times New Roman" size="4">
Gabriel LaFreniere,</font>
</p>
<p style="text-indent: 35.4pt" align="left">
<font face="Times New Roman" size="4">
Bois-des-Filion in Québec.</font>
</p>
<p style="text-indent: 35.4pt" align="left"><font face="Times New Roman" size="4">Email:
<a href="notice.htm">Please read this notice.</a></font></p>
<p style="text-indent: 35.4pt" align="left"><font face="Times New Roman" size="4"> On the Internet since September
2002. Last update January 18, 2010.</font>
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