December 17, 2007

The page on the Doppler effect have been updated once again. Web browsers sometimes cannot display Greek symbols, especially on Linux/Unix. So I finally decided to make many Gif images to solve the problem.

I tried to make this page the simplest possible. The goal is to explain Relativity, which is just a consequence of the Doppler effect. So Relativity should be "relatively" simple... 

December 6, 2007

I made a new video showing the Time Scanner:

The_Time_Scanner_02.avi

This video shows that the Scanner can either produce or correct the Doppler effect.

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 in the rear; it is not simultaneous for a given circular wavefront. This phenomenon is especially amazing.

Doppler_Lorentz_2D_standing_waves.avi

December 2, 2007

The page on the Time Scanner has been fully updated.

This device is one of my favorite inventions. It works beautifully.

It is much more polyvalent than Lorentz's equations because it can handle multiple transformations simultaneously, even transverse and oblique ones. It can also perform the law of speed addition, which never reaches the speed of light.

And finally, it is much more logical than Einstein's Relativity because it always performs transformations without any "paradox". This is not really a surprise because it reproduces perfectly Lorentz's Relativity. 

November 30, 2007

The page on the Lorentz transformations has been fully updated.

This page is likely to become a favorite because it does not severely hurts scientists' well accepted ideas, at least for most of its content (see "errors to correct" below, Nov. 24). However it goes farther than Lorentz and certainly sheds some new light on his famous transformations, especially because the Doppler effect is clearly involved.

It is consistent with Lorentz's ideas, making it acceptable at first glance. As a matter of fact, scientists are respectful to Lorentz because he was a great discoverer. However they are definitely not respectful to his transformations, which are severely "transformed" today in a despicable manner. Here is an example:

http://en.wikipedia.org/wiki/Lorentz_transformation

Let's face it: Lorentz himself would be horrified. After all, those transformations belong to him. They should be explained the way he did, albeit one can still add his own point of view.

I pointed out how my Time Scanner can reproduce them in such a way that they appear simpler. This device indeed produces the same Doppler effect, slower frequency, length contraction and time shift in a mechanical way. I even made a new video showing this:

The_Time_Scanner_01.avi

Linux users could not see Greek characters because this operating system does not display them correctly via the HTML code. I made more GIF images in order to definitely solve the problem. Now, all equations with Greek symbols should be displayed correctly in this page whatever the OS or Internet browser. Linux users should be aware that many other pages still display incorrect symbols.

November 24, 2007

The page Errors to correct is now available.

Wrong ideas about matter are worse than no ideas at all. They become an obstacle for further analysis. Scientists admitted too quickly a lot of hypotheses which were never clearly demonstrated. This page lists many of them.

Scientists may sometimes be wrong. Whatever their number is, it is not relevant because they all blindly accept today's well accepted ideas without verifying them. On the contrary, they reject this web site's content because it does not seem consistent with those ideas, also without verifying it.

To say it shortly, they never verify. They just memorize. Surprisingly, the lazy way is an effective one towards lucrative college and university degrees, but it is nevertheless the best one towards error.

November 21, 2007

My new program on the Lorentz transformations displays the x' and t' values for a given beta normalized speed. One can use the cursors to modify beta, x and t. The program also displays a material body undergoing the transformations. There is no surprise. All happens the way Lorentz predicted.

Lorentz-Poincare-Doppler.bas      Lorentz-Poincare-Doppler.exe

It should be pointed out that Lorentz believed that Michelson's interferometer should really contract. However, his equations rather indicate an expansion (the goal was to correct the Doppler effect in order to achieve a perfect invariance on Maxwell's equations). So they must be reversed in order to yield the correct x' contracted values.

However, Henri Poincare's reversed equations were rather intended to retrieve the x and t original values. The Lorentz Doppler reversed equations are different: the x, x' and t, t' variables must be swapped. I found a long time ago that those reversed equations produce a Doppler effect involving a frequency reduction. So I also made a program showing this: 

Doppler_Voigt_transformations.bas      Doppler_Voigt_transformations.exe

This program proves that Lorentz's equations are just a special case of Woldemar Voigt's equations on the Doppler effect (1887).

Let's make it clear: the Lorentz transformations are nothing but a Doppler effect. Then, because the electron is a wave, it should undergo those transformations. And finally, because molecule binding is achieved by electrons, matter must also undergo the Lorentz transformations. So it must contract.

It is that simple.

October 31, 2007

I made several DivX-MPEG-4 videos. The goal was to show that Lorentz was right. He (and FitzGerald) discovered that Michelson's interferometer cannot reveal the aether wind because a contraction occurs on the displacement axis. This cancels the difference between on-axis and orthogonal light paths.

However, in such a case, the 45° mirror or beam splitter should also undergo a contraction, making the 90° reflection apparently incorrect. Many scientists argued that the interferometer contraction was impossible. Poincaré especially spoke about an "ad hoc" explanation without any valid reason and finally, Lorentz's hypothesis was ruled out. It was a huge mistake. Lorentz's contraction really occurs in such a way that any observer moving along with a wave system can no longer detect its motion. All seems to happen as if he was at rest. This is Relativity.

Those videos show clearly that the mirror must be tilted to an additional angle in order to reflect the light beam to the correct 90° angle. I made one for all axes and directions, and also with the incorrect 45° angle. It turns out that the new angle is consistent with Lorenz's contraction g factor. So the interferometer must contract: there is no other logical explanation. Lorentz was right. It is that simple.

I am of an opinion that this experience is even more important than Michelson's. As far as I know, the light beam behavior inside the moving apparatus has never been displayed. Thanks to Mr. Philippe Delmotte's Virtual Aether, it is now possible. Many scientists don't even know that the light beam waves must be tilted to the theta angle = arc sin (v / c) in order to propagate transversally. Moreover, the light beam itself including Fresnel's diffraction pattern undergoes the on-axis contraction.

Here are the Videos:

Michelson_axial_forward_51_angle.avi

Michelson_axial_forward_45_angle.avi

Michelson_axial_backward_51_angle.avi

Michelson_axial_backward_45_angle.avi

Michelson_orthogonal_forward_51_angle.avi

Michelson_orthogonal_forward_45_angle.avi

Michelson_orthogonal_backward_51_angle.avi

Michelson_orthogonal_backward_45_angle.avi

Michelson_orthogonal_unmoving_45_angle.avi

I also made more videos showing how the Doppler effect transforms most common wave phenomena. I used the Lorentz transformations (see Oct. 15 below), which produce a slower frequency, hence no transverse wavelength contraction.

Doppler_Lorentz_two_sources.avi

Doppler_Lorentz_2D_Airy_disk.avi

Doppler_Lorentz_2D_standing_waves.avi

Doppler_Lorentz_2D_axial_Fresnel_diffraction.avi

Doppler_Lorentz_2D_transverse_Fresnel_diffraction.avi

October 23, 2007

The page on Aether has been updated.

It now includes a program about oscillations:

Aether01_Dewavrin.bas      Aether01_Dewavrin.exe

Mr. Anselme Dewavrin's algorithm shows that the so-called error about Euler's method is actually a true fact if aether granules are involved. The step by step energy transfer mechanism introduces a quantum effect as a result of the discrete nature of each step. This amazingly simple algorithm goes like this:

sine = sine + cosine * 2 * pi / lambda

cosine = cosine – sine * 2 * pi / lambda

It turns out that the wave velocity is reduced if the wavelength is very small as compared to the number of granules involved. This phenomenon explains why the electron frequency is the highest possible but reaches a limit. Finally, all electrons oscillate on the same frequency.

It also explains the lens effect inside the electron standing waves nodes and antinodes, hence its amplification.  

October 19, 2007

Using both Marcotte's wave generator and Voigt's transformations (see below), one can now display regular spherical waves undergoing the Doppler effect. Both ingoing and outgoing spherical waves then produce moving spherical standing waves, hence the electron wave structure. However, the electron undergoes Lorentz's frequency reduction and on-axis contraction. So the Lorentz transformations only can show its exact behavior while moving.

This program shows the procedure:

Lorentz_Marcotte_wave_generator.bas      Lorentz_Marcotte_wave_generator.exe

This is an amazingly simple way for displaying spherical waves undergoing the Doppler effect, and especially the electron moving standing waves.

October 15, 2007

One can use the Woldemar Voigt transformations (1887) in order to reproduce the normal Doppler effect because his equation set can reproduce any Doppler effect including the Lorentz transformations. They where firstly intended to cancel the Doppler effect on Maxwell equations, but I could reverse them like this:

x' =  x * g * k + t * beta

t' = t * g / k – x * beta

y' = y * k

z' = z * k

The  Lorentz  g  contraction factor is the reciprocal of the gamma factor:

g = sqr(1 – beta ^ 2)

However, Voigt's  k  constant for the regular Doppler effect equals Lorentz's  g  factor (it can even be eliminated from the Lorentz transformations, where  k = 1). Finally, for the regular Doppler effect, one can use simpler equations without this annoying  k  constant:

x' =  x * g ^ 2 + t * beta

t' = t – x * beta

y' = y * g

z' = z * g

This is not a joke. Woldemar Voigt was a genius. His equations work. The program below shows that they can even reproduce the emitter's displacement:

Doppler_Voigt_transformations.bas      Doppler_Voigt_transformations.exe

In my opinion, this demonstration indicates even better that Voigt's and Lorentz's equations are nothing else and nothing more than a Doppler effect. Clearly, the x' variable simply indicates a wave displacement, and the t' variable simply indicates a phase shift. Neither time nor space are involved, and Relativity now appears simpler. It is just the result of the electron Doppler effect, which matches the Lorentz transformations.

More simply, the Lorentz transformations are still relevant but they have a simpler and more important cause. One can easily explain Relativity if transverse lengths (including wavelengths) remain constant: y' = y and z' =y. This can be obtained by reducing the electron frequency in accordance with Lorentz's g contraction factor:

g = sqr(1 – beta ^ 2)

This equation could become the "formula of the century".

On the one hand, it explains Relativity.

On the other hand, it explains Henri Poincaré's "new mechanics", written in French here:

http://gallica.bnf.fr/ark:/12148/bpt6k29067t

October 14, 2007

The page on the Doppler effect is now upgraded and fully translated. You will find there a totally new approach for explaining the Lorentz transformations, hence Relativity. Clearly, those transformations are just a very special Doppler effect, that of the electron while it is moving. It simply involves a slower frequency which makes the transverse wavelength remaining constant: y' = y; z' = z.

This is indeed a great achievement. Now, the Lorentz transformations are needless, albeit they are still relevant. Relativity will be much simpler because it is just a consequence of the electron special Doppler effect.

Incidentally, I discovered today that the regular Doppler effect could also be reproduced using a set of equations very similar to Lorentz's. It should be the equivalent of Voigt's transformations, but his unknown K constant will be replaced by Lorentz's g factor.

I will write a software on this. More to come.

October 8, 2007

The page on spherical standing waves is now fully translated, albeit it may still need some minor corrections.

I am especially proud of my invention (Feb. 15, 2007) using spherical standing waves in order to facilitate thermonuclear fusion. This is a great idea. Both the acoustic and electronic (microwave) systems can coexist and achieve the very high pressure and heat requirements.

I hope that scientists will soon realize that spherical standing waves are useful. Then they will thoroughly study them and finally acknowledge that the electron is a similar wave system.

October 3, 2007

I made an animated gif for the 3-D Spherical Wave generator (see Sept. 27 below):

One can apply the same reasoning to the 2-D Circular Wave Generator, which phase offset in the center is only pi / 4. Using the Huygens principle, and also the Virtual Aether, Mr. Marcotte and I already showed that the 2-D central antinode exhibits a 3 / 4 lambda diameter.

So the formulas are different. Firstly, the core correction threshold is pi / 2 instead of pi:

Secondly, waves are expanded to an additional lambda / 8 position, and amplitude fades according to the square root of the distance. So Mr. Marcotte's formula must be modified this way:

y = sin(x + pi / 4 – t) / sqr(x)

The circular standing waves core amplitude is higher, as it was also the case for spherical waves. The program below shows that those formulas, which I elaborated yesterday, produce very smooth outgoing waves:

Circular_Wave_Generator.bas        Circular_Wave_Generator.exe

September 27, 2007

I found a new procedure for the spherical wave generator (see Sept. 10 below). Firstly, the  phase delay according to the distance is given by:

x = 2 * pi * distance / lambda

A correction must be applied when  x < pi  in order to produce the phase offset:

If x < pi Then x = x + (pi / 2) * (1 – x / pi) ^ 2

The first software below displays 150 images per cycle. Then the  t  time is given by:

t = 2 * pi * Image No. / 150

Finally, the waves can be easily displayed using Mr. Marcotte's formula:

y = sin(x – t) / x

Marcotte_Wave_Generator.bas        Marcotte_Wave_Generator.exe

Marcotte_Wave_Generator_3D.bas        Marcotte_Wave_Generator_3D.exe

The true core amplitude is immaterial because it depends on the emitter's structure and behavior. Here, the curve rotation is very smooth, though, and this method is amazingly simple. After all, the goal was to display the correct phase offset in the center, and this procedure does.

I named it "The Marcotte Wave Generator" because it uses solely Mr. Marcotte's electron equation anywhere from the center to infinity:

y = sin(x) / x

It is a great step forward because it will allow searchers to display easily and accurately the interference patterns between two or more electrons or positrons. One must also manage with the two-spin nature of electrons and positrons, and so the pi / 2 phase offset in the center will no longer be an additional problem. Here is the usual interference pattern:

The electrostatic "biconvex" field of force is made of hyperbolic-ellipsoidal standing waves.

The structure is similar to that of the diffractive lens, so they should produce an Airy disk too.

The wave phase in the center changes according to the distance and the particle spin.

It is of the utmost importance because those interferences produce a field of force. Its amplification makes it so that a very strong wave beam converges towards electrons or positrons which caused them. I could check that such a convergent beam should produce an Airy disk, just like most convergent beams except apodized ones. One must also remember that the Airy disk is just the diffraction pattern at the focal plane. It is called the Fraunhofer diffraction (its distance is infinite for the laser) while the whole diffraction pattern anywhere between the source and the Airy disk is called the Fresnel diffraction.

The pattern is different whether the source is plane or spherical. When two electrons come very close together, their standing waves may add constructively even in the area beyond them. Then they radiate a perfect Airy disk exactly in their center. They transform into a quark with a gluonic field, where the forces involved are quite different. In addition, the phase in the center may be compatible with the positron's quadrature. So the whole system is no longer negative and three of them (three quarks) placed crosswise on the three Cartesian axes become a neutron, which may transform into a proton if a positron is captured in the center.

The point is: the on-axis wave period explains how radiation pressure works.

The on-axis Fresnel diffraction for a laser or a pinhole camera.

Sorry: the correct equation for the Fresnel number "n" is: Distance = Radius ^ 2 / (n *  lambda).

So the n = 2 position should be on the right, and even numbers indicate each zero amplitude point. 

Note that the phase is always positive or always negative everywhere, which is remarkable.

They are separated by periodic zero amplitude points where an amazing pi phase shift occurs.

This explains constant attraction or repulsion effects between electrons and positrons.

The field of force structure is very similar to that of a diffractive lens.

Surprisingly, the wave beam overall phase never changes because of the phase shift.

This produces a constant attraction or repulsion effect, whatever the distance is.

September 26, 2007

As of today, this English version contains 33 pages. This was a first step towards a full translation from the French site. However, at least 10 pages are under construction, and many other need a severe upgrade. Please be patient: this theory is getting better and better, slowly but surely.

This is not only a translation process. I am still making new discoveries and I must write new computer programs in order to prove that those ideas make sense. I must also make new graphics, diagrams and animations. The good news here is that I decided to do all this in English. I will report new events here, so that it will be easy for you to stay well informed about the Wave Nature of Matter.

September 20, 2007

The Sept. 10 post below have been edited in order to confirm that my formula for the central phase offset is now correct. Here is the new program, which uses Mr. Marcotte's formula.

Marcotte_Wave_Generator.bas        Marcotte_Wave_Generator.exe

September 10, 2007

Here is a challenge for mathematicians interested in waves. The animation below shows how a perfect spherical wave generator should behave. Although such a perfect generator does not exist, it will be very useful in the future for displaying only the theoretical electron so-called "out-waves".

On the one hand, the general amplitude (the black curve below) is given by: y = 1 / v, which coincides with y = 1 / x  beyond x = pi. But the correct  v  value for the layer's volume is missing. It should be normalized to 1 in the center. Please note that any correct formula not related to volume would also be acceptable.

On the other hand, there is a pi / 2 phase offset at the center, hence a full phase shift (positive to negative) from one side to another. So the electron exhibits an amazing full wavelength central antinode. I already found this formula for the phase correction inside the electron core:

phase correction = pi / 2 * (1 - x / pi) ^ 2

Then the following formula will produce the exact moving and rotating spiral curves in the animation below:

y = sin(t - x - phase correction) / layer volume

spherical_wave_generator.bas        spherical_wave_generator.exe

The electron outgoing waves.

The requested formula should perfectly trace the spiral.

This spiral reproduces the helicoidal transverse view, where the phase is more visible.

The wave energy is not equally distributed inside each "onion layer", which thickness is apparently a half wavelength. It is probably sinusoidal, or maybe linked to the Gaussian normal distribution, which is given by: y = pi ^ –(x ^ 2) to a first approximation (or exactly?). It should be emphasized that the layer inner part becomes partly negative inside the core. It must be absolute (i.e. always positive), reversing the curve which finally reaches the y = 1 point at the center. I could show roughly the correct amplitude, but a simpler and exact formula for  "v"  would be preferable. Please note that the  y = 1 / v  formula for the electron general amplitude should be correct from the center to infinity: it traces the black curve shown above.

This missing formula is important because the electron phase shift must be present at the center whenever the goal is to show the interference pattern between two electrons or more. Actually, it is of the utmost importance for studying how fields of force and radiation pressure work. Otherwise, the phase difference will induce many people into error.

Mr. Jocelyn Marcotte's formulae:  sin(x) / x and: 1 – cos(x) / x  are far more important, but this equation will certainly be one of tomorrow's most well known formulae.

September 6, 2007

I showed a long time ago that the Lorentz transformations had been established to cancel the Doppler effect. It was indeed Woldemar Voigt's goal in 1887. So I simply rearranged them in such a way that they would rather produce a Doppler effect:

The theta q angle is given by:  arc sin(v / c) and the Lorentz  g  contraction factor by: cos q. I also made a program showing that those equations indeed produce a Doppler effect, the x coordinates and the t time (the phase, actually) being modified. This Lorentz Doppler effect is a little different from the regular one because the frequency slows down according to the g factor.

However, it is still nothing but a Doppler effect. And it applies to the electron, which is responsible for the structure and behavior of matter.

The point is: I finally discovered last month that one should preferably explain Relativity as a consequence of the electron's Doppler effect, not of the Lorentz transformations. As a matter of fact, it is quite unreasonable to interpret those x' a t' variables as a "space-time" transformation. One can speak much more simply about the electron's wavelength and phase transformation, which finally transforms matter.

MY FIRST ENGLISH PROGRAM

Now I can prove that Relativity is true simply because the electron, hence matter, undergoes a special Doppler effect involving a slower frequency according to the g factor. It is the true reason why the clocks are ticking slower at high speed. Such a Doppler effect produces no wavelength contraction transversally (y'=y; z'=z according to Lorentz). And finally, matter contracts along the displacement axis because the electron's standing waves contract. Standing wave contraction is now a well admitted fact, indeed undisputable.

So I proudly introduce here my first English program, which shows the electron's special Doppler effect. The FreeBasic source code is also in English. I must repeat here: please pay attention to this one, because this phenomenon alone explains Relativity. Here it is:

Electron_Doppler_effect.bas        Electron_Doppler_effect.exe

September 5, 2007

My discoveries are unlikely to become well accepted soon because they seem rather weird, at least at a first glance. It is quite a challenge to stay apart from a lot of other apparently similar sites, which on the contrary are truly weird. In addition, a lot of today's well admitted ideas (such as photons or electromagnetic waves) are false. Physicists and students must doubt them in order to become familiar with mine.

This may take a long time.

I must admit that the French version of this web site, which was created five years ago, is insufficient at this point. A more acceptable English version is required. Fortunately, I have been improving my English recently despite my old age (65 next month).

In the future, I am going to make everything in English. I will translate at least 10 more pages from the French site and review all the rest. I will write my programs in English. The source code, which may be freely copied, distributed and even modified, will also be released in English. Those programs are important because they validate my ideas.

For instance, the computerized virtual wave medium invented by Mr. Philippe Delmotte is a true wave laboratory. I predict that all students in physics will someday make an intensive use of it.