Quantum Cymatic Fingerprints

by Jedi Simon

 

Renderings of "Quantum Cymatic Fingerprints" Field Force Nodal Points. You shall see these kind of images, appearing in every dimension, upwards and downwards,

within planar  investigation of fluxes based on particle, wave, scalar, harmonic, fractal, and cymatic positioning of energy and matters, following the principle of resonant

positioning and multiversal order whenever you shall not look for singularity, but expand the picture. Electric fluxes, magnetic, plasmatic, and etheric, shall follow this principle

as well. Equilibrium and Harmony, within a bidimensional interpretation of the universe, shall thus show up in "apparent chaotic forms" to the searcher that does not know

what to look for and where to find it. Vision, in such a case, so merely being transformed into "a consequence of limited understanding", rather than a path to comprehension.

Here you have optical proof of this. All these formations are not only planar, but 3 dimensional, 4, 5, and 6 only according to your frame of definition, range,

considered spectrum, frame rate etc... So, please enjoy what Particle Atomists may call Atoms, but are simply the appearing "shape" ( forms ) of entities, structures,

configurations, that all belong to the same flux of Chi, Prana, Atma, Soul. These are in fact "momentary gradients" within the Samsara of creation. Mutaphorma, so,

 whenever conscience shall be present, shall not be limited to a body, that one incarnates here and now. Whenever We place our identity in a Soul  Cage,

We shall lose the ability to bend the five elements. On the other hand, whenerver We shall place our Soul in the central "Zero point of Equilibrium", there We shall

be able to reach, see, perceive, comprehend, fly, and get in touch with the Multiverse. Universally speaking, singularity is what dualism uses to force things into one direction.

De - cisio = to cut. Multiversally speaking, plurality is what opens up dualism, considering the multiversal, that allowes conscience to reach a deeper level of integration,

within the self, the others, the beings, the spirit, the soul and creation. Multilarity, requires a further move away from the reductive choice of dualisms, made to divide and

 conquer. By taking into consideration and not avoiding matters that a minority does not want You to perceive, You shall allow "Surgence" to take place.

( Please avoid the misconception of terms as insurgence, => insurrection that have been forced into language to bend this concept, as Evolution vs Revolution i.e. )

Insight, intuition, deduction and retrodeduction, thus forming the angular stones of this deeper understanding.       

 

 

Copy the following images into Your mobile phone and look at them.

Move them, upwards and downwards. Reduce them, enlarge them. Move them in a circular way.

 See what happens after a second your visualizer takes hold of them.

 

 

Search by Jedi Simon. Published on the 11/12/2019 and shared with the Keshe Plasma Reactor Group.

Rights Reserved on Images ( Use of this teaching for educational, sacred and personal purpose allowed ).

Teaching and Concepts freely shared by Jedi Simon.

Addendum.

 

Here You shall find some of the studies carried out by other scientists that might interest You.

I shall only share their web page here, as it is, to enlarge the picture, vision and comprehension of the matter, allowing

them to do the same with the work I have published here. Sharing is caring.

As you shall see in the following study, fractal field integration of the curves, nodes, structures and patterns generated

by positive and negative interference, convergence, and plenty of other operations or changes in the configuration of the

fields, shall produce this same Quantum Cymatic Fingerprints. Here is the study.

 

Circle Squares fractal

Written by Paul Bourke
January 1990, updated December 2006

This Moire like pattern is created by the function

 

z2 modulo m

Where z (complex) are points on a rectangular region of the complex plane corresponding to the image being created. M is an integer that determines the colour resolution, typically around 200. modulo arithmetic on a complex number is applied to the magnitude, so

z modulo m = (|z| modulo m) * ( zreal + i zimag) / |z|

Where |z| represents the magnitude of the complex number and is a real number, the modulo of a real number with m is the remainder on division by m. For each z the corresponding position on the image plane is shaded in proportion to the magnitude of z, namely |z|.


-256 < zreal zimag < 256

-128 < zreal zimag < 128



 

Contribution by Tim Meehan

I was doing some research that involved numerical Fresnel diffraction and noticed that one of my images looked very similar to your circle fractals. The function was exp(kj(x2+y2)). The 'k' is a constant, and the function represents the thin lens amplitude transmittance function for Fresnel diffraction. If you take the argument of the previous function, you get images that look very similar to your circle squares.

Also, if you take the real (or imaginary) part the variation from dark to light is a lot smoother and nicer.

Python code: thin_lens.py and bmp.py.



 

Contribution by Santiago Zubieta

 

Santiago has found similar patterns while exploring bit-wise and modulus operations on raw pixel indices. Java code fragment follows:

for (int i=0; i<width; ++i) {
    for (int j=0; j<height; ++j) {
       int x = i*i-2*(i|j)+j*j;
       x %= 255;
       x = Math.abs(x);
       g.setColor(new Color(x,x,x));
       g.drawRect(i, j, 1, 1);
    }
}

 

Directional grep scale ramp
 


 

Periodic grep scale ramp

 

So, here You Shall consider these fractals as a third level of "understanding", "quasicrystalline reality", that I presented some time ago in another study on nanoparticle

qiasicrystalline  structures, grown upon copper plates during alchemical experiments. Eventually, as no evidence of any "conscious comprehension and "understanding" of

the phenomena gave birth to any further or subsequent steps towards integrated awareness, then, We shall conclude that nothing truly happened because of the lack of perception,

dampening prejudice fields, mind frame, cultural limited range, and structured thought. By allowing multiversal conscience to take place, eventually, You shall be able to see.

By avoiding it, You shall not allow it to reach You, and as experience cannot be forced into one's life by mere example, everyone shall individually speaking have to face its own

path, story, life and karma. "Polish the lamp. Place it back on the shelf." Anyhow, Fresnel Rings might help You to better focus the matters I am writing about. Multiple Cameras,

use nowadays integrated phase focus systems. Phase coherence, is a possible way to reach clarity. Geometry, a way to simply reach the meaning of shape.  Abstract theroetical

scientific formulas, mathemagics, etc... do not help the seekers and the scientists to reach pure knowledge, because of the intrinsic limits of ignorant positions.   

 

  Fresnel Zones  


Fresnel zones are bound by circles in which the phase difference of the optical path thru adjacent zones differs by λ/2.
 
The sign of field from any zone plate alternates between zones.
 
Lens can be constructed by letting light pass thru only alternating zones (all of one sign).

 

Fresnel Diffraction (1818) prize winning memoir.
 
Relevant size: aperture a, length to screen r, wave length λ. To get any interference from aperture a >> λ (ka >> 1). For Fraunhofer k a2/ro  ∼ a2/(λro) << 1. Another way of describing this is that curvature of diffracted wave front is not relevant.
 
By necessity, for Fresnel diffraction, the curvature of diffracted wave front is relevant:
 
  ka2

r
 
 ∼  a2

λr
 
≥ 1.
Returning to early work on "geometry" of diffraction, we simplify to one-dimensional aperture (ignore y direction) and treat source as a plane wave (s = ∞). The Kirchhoff diffraction reduces to integral ∫apt dξexp( i f(r, ξ)) where
 
f(r,ξ) = i(kro−k t ξ+ (k/2ro2 t2…).
 
 
Fresnel Integrals, Cornu Spiral.
 
The relevant integral, keeping only ξ2 term, is
 
 
 
 
dξexp(i (k t2/(2 ro) ξ2) ∝ C(u) + i S(u).



The Fresnel integrals {C, S} cannot be done analytically. Nonetheless Fresnel in 1818 worked out the values.

 
C(u) =
u

0 
 
dx cos(πx2/2), S(u) =
u

0 
 
dx sin(πx2/2).
Here the limit u2 = (at)2/(λro).

 

Augustin Fresnel

Augustin Jean Fresnel, né le 10 mai 1788 à Broglie et mort le 14 juillet 1827 à Ville-d'Avray, est un ingénieur et physicien français.

Fondateur de l'optique moderne, il proposa une explication de tous les phénomènes optiques dans le cadre de la théorie ondulatoire de la lumière.

Fils de l'architecte Jacques Fresnel et d'Augustine Mérimée, Augustin Fresnel naît à Broglie, dans l’Eure. Il est le neveu du littérateur, peintre et chimiste Léonor Mérimée, et par conséquent le cousin de l'archéologue et nouvelliste Prosper Mérimée, deux académiciens également. Il entre à l’École centrale de Caen à l'âge de 13 ans puis à l'École polytechnique à 16 ans et demi (promotion 1804). En 1806, il devient élève de l'École nationale des ponts et chaussées.

Il commence sa carrière en 1808 au service des ponts et chaussées dans la Drôme ; en 1815, il s'oppose au retour de Napoléon de l'île d'Elbe : Fresnel, dont le grand-père François Mérimée est intendant au service de la famille de Broglie1, avait reçu une éducation royaliste. Il est arrêté à Valence le 9 mai 1815, puis retourne auprès de sa mère à Mathieu. En octobre 1815, il est affecté comme ingénieur en Ille-et-Vilaine. Il écrit régulièrement à sa hiérarchie afin d'obtenir un congé et poursuivre sa carrière scientifique auprès de François Arago. Il réalise de nombreuses expériences sur les interférences lumineuses, indépendamment de celles de Thomas Young, pour lesquelles il forge la notion de longueur d'onde. Il calcule les intégrales dites de Fresnel.

En 1815, Fresnel, à vingt-sept ans, s'oppose à la théorie corpusculaire de la lumière de Newton en vigueur jusque-là, et par des expériences sur la diffraction de la lumière, pose les bases de sa théorie « vibratoire » de la lumière, à laquelle il apportera compléments et corrections en 1818.

Cette année-là, l'Académie des Sciences met au concours la question des propriétés paradoxales de la lumière. Fresnel, encouragé par Arago, prend part au concours et soumet un mémoire fondé sur la théorie ondulatoire de la lumière3.

L'un des membres du jury, Poisson, est un ferme partisan de la théorie corpusculaire de la lumière : il étudie le mémoire de Fresnel en détail et cherche un moyen d'en démontrer la fausseté. Poisson croit la trouver dans une conséquence de la théorie de Fresnel selon laquelle une tache claire doit se former au centre de l'ombre portée par un corps opaque exactement circulaire, alors que selon la théorie corpusculaire de la lumière, l'ombre est uniforme sur tout un disque. Trompé par l'absence de taches de Fresnel dans les ombres de la vie quotidienne, Poisson pense bien tenir son objection à la théorie de Fresnel.

Mais le président de la commission, François Arago (futur Premier Ministre), décide de reprendre l'expérience plus en détail. Il fait monter un disque métallique de 2 mm sur une plaque de verre avec de la cire et parvient à obtenir une minuscule tache claire au centre de l'ombre portée par le disque opaque, ce qui achève de convaincre la plupart des académiciens de la nature ondulatoire de la lumière ; le jury attribue le prix à Fresnel au mois de novembre4 1819.

Fresnel confirme la théorie ondulatoire de la lumière en prouvant le premier que deux faisceaux de lumière polarisés dans des plans différents n'ont aucun effet d'interférence et en déduisant en 1821 de cette expérience que le mouvement ondulatoire de la lumière polarisée est transversal et non longitudinal (comme celui du son), ainsi qu'on le croyait avant lui.

Il est le premier à produire une lumière polarisée circulaire. Ses formules, dites de Fresnel, sur la réfraction sont toujours utilisées.

Dans le domaine de l'optique géométrique, Fresnel invente la lentille à échelon (dite Lentille de Fresnel) utilisée pour accroître la puissance de l'éclairage des phares. Elle est encore utilisée dans les phares maritimes, mais aussi dans les phares automobiles et les projecteurs de cinéma. Des modèles souples bon marché permettant une vision grand angle sont réalisés aujourd'hui à partir de la lentille de Fresnel, ou les lentilles aux caisses de supermarché pour vérifier le contenu du chariot.

Il est membre de l'Académie des sciences en 1823 ainsi que de la Royal Society, qui lui décerne la Médaille Rumford en 1824 et qui l'élit membre étranger l'année suivante. Il meurt en 1827 à Ville-d'Avray, près de Paris. 

From Wikipedia.

        In microwave communications, this is what happens:

Fade Margin

Fade Margin is a user-defined range of power defined in dB over which the communication link is required to operate over. Normally, the fade margin will be set to overcome link impairments such as multipath, diffraction, refraction, polarization and absorption losses.


Fresnel Zone & Fresnel Radius

The Fresnel zone or First Fresnel zone is a three dimensional elliptic shaped region surrounding the line of sight path from the transmitter to the receiver. If a reflective object is placed anywhere on the edge of the ellipse, it will cause a reflected signal that, due to propagation delay, is delayed 180 degrees (in carrier phase) with the line of sight signal at the receiving antenna. If the Fresnel ellipse is cut perpendicular to the line of sight path anywhere along the line of sight path, a circle is formed with a radius known as the Fresnel radius. Note that Fresnel zones and Fresnel radius are frequency dependant because they are defined by the wavelength and propagation delay of the carrier.

The level of the resultant signal at the receiving antenna from the combining of the line of sight signal and a single reflected signal will vary from an increase of up to 3 dB in power (if they are in-phase) to a deep cancellation (out of phase). The total phase difference between the line of sight signal and the reflected signal at the Fresnel zone ellipse will be determined by both the 180 degree propagation delay and the phase shift at the point of reflection. If the wave is linearly polarized and hits a surface that is parallel to the wave's polarization, a 180-degree shift will occur. If the surface is perpendicular to the wave's polarization, a phase shift from 0 to 180 degree shift will occur depending on the angle of incidence.

Let's look at an example. The figure above shows a microwave link with two objects on the First Fresnel zone ellipse. If both the transmit and the receive antennas are horizontally polarized. The reflected signal from the building is shifted 180 degrees at the reflection point because the top of the building (point of reflection) is parallel to the horizontally polarized signal. When this reflected signal is combined with the line of sight signal, the two add in-phase (reflected signal has 180 degree delay plus 180 degree shift at reflection point or 360 degrees total phase difference) and result in a combined signal that is at a higher level than the line of sight signal. The amount of the increase will depend on the amount of signal reflected off the building. If the transmitted signal hits the airplane on the right side, the surface of reflection will be perpendicular to the polarization of the signal. For the sake of discussion, let the angle of reflection be such that the phase shift at the point of reflection is 0 degrees. This reflected signal will reach the receive antenna at (0 + 180 degrees) 180 degrees out of phase with the line of sight signal. The level of the resultant signal from this reflected path and the line of sight signal will be lower that the line of sight signal. This is commonly referred to as multipath attenuation. The amount of attenuation caused by multipath reflections will depend on the size, shape and physical properties of the reflecting object.

There are also higher order Fresnel zones (2nd, 3rd, 4th…) that occur at delays that are integer multiples of 180 degrees plus the first Fresnel delay. The total path delay at the 2nd Fresnel zone is (180 + 180) degrees or 360 degrees.

Significant signal attenuation can also occur if objects are allowed within the first Fresnel zone. An object can attenuate or block the signal if it must go completely through it. Trees, rain or fog are examples of possible obstructions. Diffraction is another type of loss that occurs when a RF or microwave signal grazes the top of an object. A sharp surface will cause only minor losses up to 6 dB. However, a smooth rounded object like a bald mountaintop can cause sharp losses in excess of 30 dB.


Obstruction Free Fresnel Zone

To achieve a link that is not significantly affected by signal blockage, diffraction or multipath attenuation, all objects must be at least 0.6 times the first Fresnel zone radius from the line of sight path.

 

So, here you see how light and RF are closely linked, and how signals travel. Increase and attenuation, depending on the Quantum Cymatic positioning of antennas, following
scalar, harmonic, and fractal paths, in their propagation.

 

THE HUYGENS PRINCIPLE

  

This is the Fresnel-Fraunhofer diffraction pattern for a moving linear emitter.

On the left, there is no transverse contraction but the pattern is compressed on the displacement x axis.

On the right, the pattern is also compressed on the x axis according to Lorentz's predictions.

In spite of the Doppler effect, the pattern remains perfectly symmetrical: motion cannot be detected here.

Those diagrams are possible thanks to Mr. Philippe Delmotte's Virtual Aether.

Mr. Delmotte's program is a true virtual wave laboratory. Now this is what I call an experience.

 

So? ...  I really enjoyed this web page... Let's find out where we went wrong....

and eventually, if what We know is correct or incorrect.... practice makes perfect.....

So let's just enjoy the exercise.....

 

ERRORS TO CORRECT

 

The Time Scanner produces a special Doppler effect involving a slower frequency.

The Lorentz transformations prove to be the exact formulation for this special Doppler effect.

The electron undergoes the same Doppler effect, hence matter undergoes the Lorentz transformations.

It is just a phase and wavelength transformation, and this fully explains Lorentz's Relativity.

The error here was to think that space and time was involved. It was not that complicated!

 

Let's face it: today's physicists are still unable to explain clearly most phenomena such as light, gravity, atomic forces or magnetic fields. They simply ignore what is really going on.

A hypothesis is not a certainty; it must be proved.

The reason for this is that 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.

 

GALILEO'S RELATIVITY PRINCIPLE IS WRONG

Descartes invented the famous "Cartesian" frame of reference using three axes placed crosswise and the O origin where x, y and z values are zero. He also discovered that light is made of waves traveling through a medium which he called the aether.

 The consequence of this is that the speed of light must be evaluated with respect to the aether, which is postulated to be at rest.  So, in any moving system such as the AB axis below, the light propagating through aether cannot behave like Galileo predicted any more.  It rather behaves like planes flying through air. Obviously, in the presence of a strong wind, the complex AB'A'  motion involves a longer distance through air then the plain ABA round trip.

Michelson also discovered that axial AC'A' motion involves a longer distance than transverse AB'A', and he realized that the difference should be measurable by means of an interferometer.

 

Planes simulating waves traveling in a moving frame of reference.

The transverse AB'A' absolute distance is given by the gamma factor: ABA / (1 b 2 ) (1 / 2)

 

The axial AC'A' absolute distance is given by the gamma factor squared: ACA / (1 b 2 )

 

Clearly, a Galilean frame of reference cannot exist. Light is a force which involves energy, from radio waves to gamma rays. Matter acts and reacts using aether waves. So, from an absolute point of view, any event must be evaluated with respect to the Cartesian frame of reference, which is at rest.

Einstein postulated in 1905 that the speed of light is the same in all Galilean inertial frames of reference. Any intelligent person should realize that this is totally absurd. However, because Relativity is true and amazing, this is exactly what any moving observer should record. So there must exist a reason for this, and Lorenz explained it in a much better way than Einstein did.

 

HENRI POINCARÉ'S SYMMETRIC EQUATIONS ARE WRONG

The Lorentz transformations (1904) below are a bit complex at a first glance, but they are simply a special Doppler effect involving a slower frequency. Actually, they are much similar to Woldemar Voigt's equations (1887) about the Doppler effect.

 

Let's just examine the first equation above. Poincaré noted that coordinates could be evaluated in light seconds and speed in light seconds per second: beta = v / c. Also, c = 1 can be removed from all equations (please bear in mind that the beta normalized speed still involves the speed of light, which is absolute because it is certainly related to some material mechanism). Finally, the Lorentz g contraction factor can replace the whole square root above, and one obtains a simpler equation:

x' = x beta * t / g

However, Poincaré showed that this equation could be reversed like this:

x'  =  (x – beta * t) / g        x  =  (x' – beta * t') / g

An amazing symmetry and reciprocity appears. Swapping x, x' and t, t' variables does not make any difference. This is indeed what any moving observer will record, but it is not what is really going on. Poincaré discovered his famous Relativity Postulate in 1904, hence before Einstein, but he did not fully realize that those equations only describe appearances.

Any mathematician should recognize that while:

x' = x beta * t / g

the correct value for x is rather:

x =  g * x' + beta * t

Such an error is deplorable. It should be emphasized that Einstein made the same mistake, and that it is a well known fact that he was well aware of Poincaré's ideas, which were somewhat different from Lorentz's. This is how one can be convinced of plagiarism: similar ideas may be just a coincidence, but the same ideas including the same mistakes surely indicate a copy. 

Lorentz performed much better. His 1904 version of Relativity is perfectly true. See "Electromagnetic phenomena in a system moving with any velocity smaller than that of the light.", Proceedings, Amsterdam Academy, May 27, 1904. Unfortunately, he changed his mind afterwards because he could not explain why matter should contract.

As a matter of fact, matter really contracts. Facts are absolute. For any moving entity, there can be only one time, one speed, and one position in the same Cartesian frame, which is at rest with respect to the aether. One cannot switch freely from x to x' and from t to t' according to a different "Galilean" moving frame of reference because Galileo's Principle is wrong.

The point is: those equations involve the speed of light, and light is not an equation. Light travels in a mechanical and absolute way.

 

THE LIGHT WAVES DO NOT VIBRATE TRANSVERSALLY

Augustin Fresnel studied polarized light. He thought that transverse vibrations could explain this and he postulated that aether should be made of "material points separated by intervals" in order to transmit them.

However he was wrong.  Composite waves emitted simultaneously by many electrons can easily transmit transverse patterns. Such waves are regular longitudinal waves, but the interference pattern may undulate and even rotate.

The light waves can carry transverse patterns. This explains polarization.

 

For example, two sources will produce the above pattern if one of them is slightly moving to and fro. If the sources axes are regularly distributed according to a 2 pi rotation for a given wavelength, this pattern will also rotate. This explains the light polarization, which may either rotate or remain stable on a given transverse axis.

 

ELECTROMAGNETIC WAVES DO NOT EXIST

Maxwell's equations only describe how energy carried out by light or radio waves will behave. They indeed yield correct results, but they are still just equations. Let's face it: James Clerk Maxwell never demonstrated that magnetic and electric fields could really travel through space.

It should be emphasized that scientists still do not understand the true nature of magnetic fields. They ignore what they are made of, and how they work mechanically.

In addition, one simply cannot check whether magnetic fields move through empty space or not because a material device must be used in order to detect them. This device may transform radio waves into electric and magnetic fields as well. 

It is a well known fact that Maxwell firstly imagined a mechanism made of interconnected aether vortices. However, he finally removed carefully any reference to a mechanism. Maxwell just elaborated a set of equations. He did not find what was really going on.

Clearly, his assumption that his equations describe moving electric and magnetic fields is highly disputable. There is a more acceptable possibility: radio waves are aether composite longitudinal waves capable of producing electric and magnetic fields while traveling through matter.

Maxwell was a great scientist. He was well aware that all this was uncertain. He wrote: "The energy in electromagnetic phenomena is mechanical energy". This means that it remains unexplained. However, physicists in radio electricity (especially Lorentz and Poincaré) became very familiar with his equations and finally, they all forgot that it was just a theory.

So there is a place for doubt. Scientists should be ashamed to be so confident, if not arrogant against searchers who still believe in the existence of the aether.

 

ONE OF EINSTEIN'S POSTULATE IS WRONG

This was Einstein's 1905 Special Relativity most important postulate:

"The speed of light is the same in all Galilean inertial reference frames."

Surprisingly, this seems to be true. Many observers moving at different speeds will really record the same speed for light. However, this severely hurts common sense. One should investigate how come it is possible.

In 1904, Lorentz published his famous transformations and he showed that they could explain such a stunning result. He especially discovered that moving matter, including the observer and his instruments, should contract. He also found that clocks should tick slower. Finally, light does not really travel at the same speed in all reference frames: those transformations simply cancel the speed difference and the observer is mislead.

 

THERE IS AN AETHER

Hendrick Lorentz and Henri Poincaré discovered in 1904 that observers cannot detect their motion through aether. For example, Michelson's interferometer yields a null result because it contracts. Or Bradley's aberration is perfectly symmetric, etc. 

This does not mean that aether does not exist.

On the contrary, Lorentz was firmly convinced that aether should exist. So he established his equations (which he borrowed from Woldemar Voigt's Doppler equations) in accordance with the speed of light, which in his picture was absolute. He finally found that Voigt's constant k should be eliminated from his own transformations, because a stunning invariance occurs when  k = 1.

Lorentz's equations where established in accordance with the postulate that aether should exist.

The point is: all happens as if aether exists.

So, today's common assumption that Michelson's experience ruled out aether and that this hypothesis has been "abandoned" is definitely wrong. Nobody ever demonstrated that aether does not exist. It remains an acceptable hypothesis.

This is especially important because most phenomena and matter properties are still unexplained. For example, standing waves could explain magnetic fields, but they need an aether. In addition, matter particles clearly exhibit wave properties, but scientists never dare to show those waves, certainly because they cannot imagine waves without a medium...

 

THE KENNEDY-THORNDYKE EXPERIMENT WAS WRONG

You may read in Wikipedia:

"The Kennedy-Thorndyke experiment, by using arms of dissimilar lengths, tested for the hiding of the aether effects due to length contraction and found none."

This is false. Many scientists deduced from this that aether does not exist.

Actually, there was a serious omission: the frequency reduction. According to Lorenz, the apparatus (not space) should contract; however, the source frequency (not time) should also slow down. In such a case, the number of wavelengths along a transverse axis never changes whatever the speed is, and it remains also the same along the displacement axis after a 90° rotation because of the contraction.

The consequence of this is that the second arm (shorter or not) is not useful any more. It can be removed like this: 

A simpler interferometer.

  

Let's make it clear: the Kennedy-Thorndyke experiment was a mess. Michelson's interferometer needs only one arm, not two. A second arm, shorter or not, makes no difference.

 

 PHOTONS DO NOT EXIST

Descartes discovered that light is made up of waves traveling in a medium which he called the aether.

Then Fresnel studied polarization and realized that this behavior could not be explained by regular longitudinal waves. So he supposed that the light waves should vibrate transversally.

This was the first mistake. Polarization can be explained by composite longitudinal waves, because the interference pattern can undulate transversally. This supposes that light is emitted by at least two sources, one of them being stable (for example a proton) and the other one (for example an electron) very slightly vibrating along a straight or circular path. Moreover, the electron frequency is constant, but the light frequency is that of the vibrations. Light is emitted on a secondary frequency.

Then Einstein studied the photoelectric effect and supposed that light should be made of particles because, according to Planck's constant, it always contains the same amount of energy for a given frequency.

This was the second mistake. Clearly, light is emitted by electrons. Why this constant amount of energy should be attributed to light instead of electrons? Electrons are present for both the light emission and reception. So the quantum properties of light may be allotted to electrons as well. Finally, the emitted light really contains the equivalent of a photon of energy, but it is still just waves.

And finally, Compton discovered the Compton effect. Did Compton explain how "his" photons work? No. Did he explain the true nature of electric and magnetic fields? No. Did he explain the electron mechanisms? No. All students should read how he interpreted his results. They will realize that there is a difference between a hypothesis and the truth. Nobody can transform so many uncertainties into certitude.

 

ELECTRONS DO NOT ROTATE AROUND THE ATOMIC NUCLEUS

From 1907 to 1911, Ernest Rutherford experimented fast positive helium nucleus hitting thin material such as gold foil. He discovered that some of them were deviated and even bounced back like a ball hitting an obstacle.

Rutherford did not approve Thompson's "plum pudding" atomic model and he suggested that electrons should rotate like planets around the atom nucleus. Otherwise, in his picture, protons would simply attract electrons and produce a catastrophic collision.

Scientists should be aware that this experience did not indicate that electrons really rotate around the atom. It simply indicates that a repulsion effect occurs between positive particles and that matter is amazingly permeable.

Surprisingly, since one hundred years, nobody could really detect such a rotation, which is nevertheless universally accepted by today's physicists. This theory is wrong, though, and it is now a severe obstacle for further discoveries about electronics, magnetic fields, light emission, chemical reactions, etc.

In 1911, scientists were not aware that electrostatic fields work differently at atomic scale. Many electrons closely put together behave as a whole, and this significantly reduces the nucleus attraction effect. Moreover, as a composite wave emitter, the nucleus must radiate waves according to Fresnel's diffraction. The interference pattern exhibits periodic null amplitude zones where electrons can be captured. The gray vertical lines below indicate distances according to Fresnel's number (1 on the right up to 7 on the left), and electrons captured in each corresponding atomic layer should obviously emit light waves according to the Balmer series, and also Lyman, Paschen, etc..

 

The link between Fresnel's number and the Balmer series is obvious.

 

G. N. LEWIS WAS RIGHT : THE ATOMIC EXTERNAL STRUCTURE IS CUBIC

Gilbert Newton Lewis (1875-1946), a famous American chemist, believed that electrons were regularly distributed around the atomic nucleus. This was J. J. Thompson's "plum pudding" model. In 1912, he was aware that only the external electronic layer, containing a maximum of 8 electrons, was responsible for chemical binding.

Lewis also noted that 8 electrons regularly spaced on a sphere should be placed on the 8 vertices of a cube. He investigated this hypothesis and found that it was consistent with most chemical structures. Each element can be seen as a cube with a given number of electrons on its vertices, up to 8. Then one may join two or more elements together in such a way that empty vertices in one element are filled with one or two electrons from another element.

The Lewis method is still well known today, simply because it works. This is an experimental evidence that the cubic structure is more then just a theory. However, Ernest Rutherford and Niels Bohr preferred the planet like hypothesis, which replaced Thompson's model and is still accepted today in spite of the lack of proofs. Such an error is especially deplorable because Lewis' model was based on experiments, while Rutherford's was just a guess.

Lewis also suggested that the quantum of light should be named "photon". Nobody is perfect.

 

 MATTER AND ANTIMATTER DO NOT ANNIHILATE

It is a well known fact since Murray Gell-Mann, who discovered quarks, that all complex particles including protons and neutrons are made of quarks. It is also a well known fact that electron/positron collisions produce quarks.

By stubbornly clinging to this idea that electrons and positrons put together annihilate, scientists can no longer admit that they could rather be glued together because of gluonic fields and produce quarks and other particles, hence matter. Gluonic fields contain a lot of energy, making it impossible to detect those glued electrons and positrons any more.  

There is no evidence of complete destruction when matter encounters antimatter. There is an enormous energy dispersion, though, which is likely to hide or severely mask the escaping electrons and positrons from the detectors. One should bear in mind that a proton, which mass is 1829 times that of an electron, may contain only six electrons and one positron. All the rest is energy from gluonic fields which completely transform the nucleus picture.

The assumption that E = mc2 indicates that matter can be totally transformed into energy is false. On the one hand, static energy stored inside electrostatic or gluonic fields can be transformed into kinetic energy, which is the result of Lorentz's mass increase due to motion. Actually, moving particles undergo a severe forward Doppler effect, hence more energy as a result of a higher frequency.

On the other hand, electrons and positrons are indestructible. 

 

 NON-EUCLIDEAN GEOMETRY IS WRONG

Let's make it perfectly clear: Euclidean geometry is the only acceptable one.

Euclid's geometry is based on evidences that any intelligent person should understand. There is no need for further analysis, revocation or derogation. It works. It is that simple.

So any attempt to bypass it should be seen as highly suspect.

 

SCIENTISTS ARE UNAWARE OF STANDING WAVE TRUE MECHANISM

Most physicists think that standing waves are truly the superposition of two identical opposite wave trains. This interpretation indeed works in order to display the result, but this is true from a mathematical point of view only. A twenty pixels amplitude leftward wave will periodically add with a similar rightward one and produce a 20 + 20 = 40 standing wave. The animated image below was made using this principle and all seems perfectly correct.

However, also from a mathematical point of view, it is much simpler to display the amplitude anywhere in accordance with the distance in wavelengths and a 2 * pi rotation.

The point is: it is not what is really going on. Standing waves exhibit regularly spaced antinodes where amplitude is always zero. From the medium point of view, the energy there never changes and there is no evidence of traveling waves.

Standing waves are a quite different phenomenon. The error arises from the fact that mathematics abnormally replace true experiments in physics. Scientists should be aware that any physical phenomenon has a cause. It involves mechanics. So it should be explained by mechanics, not mathematics.

 

Regular standing waves.

 

GRAVITY IS NOT LINKED TO RELATIVITY

Gravity is not the universe's "fundamental force". It is just a force like others, all of them being caused by aether waves.

There is no need to invoke Relativity in order to explain gravity, and so there is no General nor Special Relativity. Lorentz's Relativity is complete. It fully explains all phenomena related to matter motion and forces including gravity, which also works in the absence of motion.

 

RELATIVITY DOES NOT EXPLAIN MERCURY'S PRECESSION

Relativity does not involve gravity, so it does not explain Mercury's elliptic orbit precession.

It should be emphasized that this problem has been much too much publicized in the past. So small a difference (only 43" of an arc for a whole century) could be explained by a lot of minor anomalies about Mercury. Clearly, it is insignificant with respect to a theory which is supposed to be so great.  

According to Newton's laws, a theoretical elliptic orbit should be stable. Mercury's orbit is not theoretical, though.

For example, Le Verrier did not really consider the fact that the sun's mass is distributed inside a very large sphere, making atoms from its surface attract Mercury differently. Mercury's orbit is indeed very small, from 46 to 70 million kilometers. There is frequently more than a 1° angle, and the force according to the cosine is less than .9998 in this case, not 1. Moreover, this difference is not constant because the distance is not.

The sun itself is not static with respect to the whole planet system. It certainly orbits around a center of gravity which is that of all the solar system. Jupiter and Saturn for example are huge planets containing a large amount of matter, and Le Verrier did not take their influence on the sun into account. He was not that meticulous. In addition, Jupiter and Saturn are periodically on the same side of the sun, and this happens for several of Mercury's orbits. A resonance effect could occur.

The solar wind is rather strong near Mercury and its effect may not be negligible for a whole century. It is slightly oblique because of the sun's rotation, and the 11 years cycle could cause a resonance. One could also examine the radiation pressure from the sun, which is 9 times stronger than on earth, and study how all that heat should be radiated from Mercury. Astronomers are now aware that Mercury is slowly rotating in a very peculiar way. Newton's action and reaction law should apply.

The true effect of motion on gravity is still not well known. The sun's rotation could produce a torque effect. Gravity may not be fully additive, that is, gravity from Jupiter and Saturn could decrease when they are behind the sun. There are strong magnetic fields around the sun, which are also present in the solar wind around Mercury. The planet contains iron and may react just like a big magnet. Another cause could be the tide effect, which is severe on Mercury; if its orbit was a bit smaller, the forces involved could even destroy it. 

Scientists should realize that a century is a very long period of time as compared to a 43" of an arc shift. The point is that Mercury is a very small planet which is likely to react to dozens of small abnormal causes, certainly making Le Verrier's calculus inaccurate. Slowly but surely, searchers will examine all of them and finally find which ones have the most significant influence. Einstein did not examine any of them, and so his calculus is likely to become highly disputable.

 

GRAVITY DOES NOT BEND SPACE

Gravity does not decrease according to the well known square or the distance law for any matter very close to the sun. It is null right at its center. This indicates that a calculus according to Einstein, that is an artificial space bending, would be preferable and may replace Newton's gravity law for small distances.

However, this is only a method, not a physical explanation.

Any intelligent person should realize that gravity cannot bend space.

This is definitely a weird idea. 

 

GRAVITY DOES NOT ATTRACT LIGHT

The sun's gravity cannot deviate light because it is made of waves. However, space around the sun is filled with particles which can produce a lens effect. The result is the same, but the cause is not. It is a well known fact that light is severely deviated in the earth's atmosphere, even at very high altitudes.

This occurs because there are still some air molecules and other particles there. It should be the same around the sun, especially because it is much bigger. The same phenomenon should also occur around galaxies, which are surrounded with gas areas, but the lens effect there is certainly not perfectly regular because the gas distribution is not. 

The Fizeau experiment showed that moving transparent substances such as water could modify the light speed or produce a deviation. The point is that the solar wind particles are faster when their density is higher. Actually, they are sometimes very fast. This may partially cancel the deviation difference, but not exactly. So the deviation is certainly not constant, and the difference should become perceptible using more and more precise instruments.

This will indicate that Einstein's theory about a so-called space curvature is wrong.

In addition, blue light deviates more drastically than red light inside normal optical glass, but the difference becomes smaller for very light glass such as quartz or fluorite. It is even smaller for gas, and especially rarefied gas. So red and blue light deviation should be almost identical, but not exactly. The difference should become visible using sophisticated devices, and this would also indicate here that Einstein's ideas are wrong. As a matter of fact, space could not bend differently for red and blue light...

Any experimented astronomer should admit that Addington's results were highly disputable. In 1919, they should have pointed out that his small Newton telescope, suffering from unacceptable coma, could certainly not record so small a deviation. However, more recent results indeed indicate a deviation, but they are strangely reported in a mystic manner. Such people bowing very low in front of their Einstein prophet should be considered with suspicion. We need more objective data, which should not be constant. They will certainly not match exactly Einstein's predictions, which were probably influenced by previous astronomic observations.

And finally, gravity cannot change the light wavelength either. Matter undergoes severe constraints on a very large star. This certainly changes the way light is emitted, and especially its wavelength. The whole process may even be fully compromised under more severe conditions, making any light emission impossible.

 

NEWTON'S LAWS CAN BE UPGRADED

Most of today's physicists believe that Newton's laws are still valid to a first approximation, but that they otherwise must be totally replaced by Einstein's Relativity. This is definitely wrong. Newton's laws can be upgraded in accordance with the Lorentz transformations, making them perfectly correct and much simpler.

Henri Poincaré discovered that the laws of physical phenomena are the same for an observer at rest and for an observer moving at a constant speed, making it impossible to determine whether he is moving or not. He was well aware that this should be the starting point for some new mechanics

From any observer's point of view, moving matter and all related phenomena undergo (or seem to undergo) the Lorentz transformations. A contraction occurs, the mass increases, the time there seems to slow down and the clocks do not indicate the same time on the displacement axis.

The goal is to take those phenomena into account in order to reformulate Newton's laws. For example, the mass gain is given by the gamma factor: gamma = 1 / sqr(1 v^2 / c^2). Then kinetic energy, which is related to this gain, can easily be deduced from it. Finally, kinetic energy is not linked to Relativity any more; it is just a consequence of the Lorentz transformations. The formula below for kinetic energy is already well known and replaces Newton's inaccurate E = m v^2 / 2:

E = gamma * m m

A simpler example is the action and reaction law. It will be fully accurate if one postulates that the field of force, which is located between two material bodies and responsible for this, is considered at rest. Then there are no action and reaction any more, just two opposite and equal actions. Suppose that a billiard ball hits another one. The calculus becomes simpler if both balls are considered to be in motion. If their mass is the same, they will simply bounce back at the same speed according to the formula above. The final step is to recover the observer's frame of reference. This means that Newton's action and reaction law must be upgraded to a double opposite and equal action law, which is true only if the field of force, not the observer, is considered to be at rest.

Finally, the new mechanics initiated by Henri Poincaré is just an addenda to Newton's discoveries, while Einstein's Relativity proves to be complicated and unexplainable. It is also centered mainly and wrongly on gravity, while Newton's laws are simpler and involve the whole matter mechanics.

 

THE ACTUAL BIG BANG THEORY IS DISPUTABLE

A Big Bang hypothesis is highly plausible because of the expanding universe, but actual descriptions of it appear quite imaginative, if not ridiculous.

The goal here is not to explain how the universe was created. This is beyond our knowledge, but we should ultimately be able to make an acceptable portrait of the situation in its very first moments. However, scientists definitely cannot succeed while most physical phenomena are still totally unexplained. The first question they should answer is: what is matter? So the past remains even more obscure as long as this question remains unanswered.

Obviously, the existence of an expanding aether would explain the expansion of very distant galaxies, whose speed is almost that of light. They may still be at rest with respect to the surrounding aether. Otherwise, because of the Lorentz transformations, they should be severely contracted in such a way that most of the universe matter would be concentrated near a sort of spherical "space wall". No matter could exist beyond this wall because it cannot reach the speed of light. In such a case, Hubble's constant could not really be constant, and so the theory of an expanding aether appears more acceptable.

What is matter? Well, matter is solely made out of electrons, which are spherical standing waves. Electrons and positrons can join together and transform into quarks, then into protons and neutrons. So, in the beginning of times, one can postulate that there was nothing but a very concentrated aether filled with waves. From a mechanical point of view, this appears quite possible.

This is a very alluring hypothesis because it is simple.

  

LIGHT GOES FREELY THROUGH OBJECTS

Most comments about this on the web are followed with the unavoidable "lol", which as far as I know means "Laugh out loudly".

However, it is a well known fact that most radio waves, and also X-rays and gamma are not stopped by matter the way light is. Because light is an exception, it would be simpler to postulate that those waves always go freely through matter. Then, in order to explain why light seems to be stopped, deviated or reflected, one can show that electrons react to light and emit some new light which phase is opposite.

Firstly, because its phase is opposite, this new light will interfere with the other one and produce a shade behind opaque objects.

Secondly, this new light will also produce a reflection in accordance with Huygens Principle.

An thirdly, because transparent material such as glass produces reflections through more than a full wavelength, their sum is null and the wave energy is transmitted from one electron to another. Then some new light is emitted on the other side. This phenomenon is possible only inside very homogenous substances.

The shade behind any opaque object can be calculated using Huygen's Principle:

This is the shade of a 1mm wire at 4 meters (about 13 feet).

This is possible if matter emits some new light which phase is opposite.

 

Now we can also use Mr. Delmotte's Virtual aether, which is a true laboratory for studying waves. The program below is in French, but I plan to translate the whole series into English:

Ether20.exe    Ether20.bas

And here are the results below. The upper opaque screen simply stops the waves, and a shade appears. The lower one rather emits new waves which phase is opposite. Surprisingly, the result is exactly the same. Both systems produce perfectly identical diffraction patterns. 

Plane waves come from the left.

The upper opaque screen is 10 wavelengths high. It stops the waves and produces a shade.

 The lower image rather shows a 10 wavelengths source emitting waves which phase is opposite.

Surprisingly, the result is exactly the same.

This indicates that light may propagate freely through matter.

 

 THE LORENTZ TRANSFORMATIONS ARE JUST A DOPPLER EFFECT

The Lorentz transformations were intended to correct the Doppler effect in order to make Maxwell's equations invariant in any moving frame or reference. Lorentz was strongly convinced that matter should contract. He was well aware that a time shift should occur, and also that clocks should tick slower.

Unfortunately, Lorentz's original equations do not yield correct results from this point of view. They rather indicate an expansion. They can be reversed, though, by swapping the x and x' variables:

x' =  g * x + beta * t

t' = g * t beta * x

Then they produce the correct results. So the program graphics (see below) use the reversed equations, and one can easily see that all happens the way Lorentz predicted.

Surprisingly, the same formulas also produce a special Doppler effect involving a slower frequency. Here is a program showing this:

Doppler_Voigt_transformations.bas      Doppler_Voigt_transformations.exe

I am of an opinion that Lorentz's Doppler equations should always be present together with his original ones, in order to justify the correct contraction and the time effects.

It should be emphasized that the Lorentz transformations are the greatest of all laws about matter's mechanical behavior, making Relativity much less important. After all, Relativity is just a secondary result, that is, the result of any moving observer's errors.

Now, Relativity can be verified.

These conclusions are not disputable. Since one century, physicists wrote tons of weird ideas about the Lorentz transformations. Please bear in mind that those transformations belong to Lorentz, who was a great scientist. They should be explained the way Lorentz did. But they are not. Look at this:

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

Isn't this a shame? Fortunately, this is likely to change because computers cannot handle so inane ideas. If you are a pro in computer programming, you surely can check this. You will finally admit that Lorentz was right about matter contraction.

My own 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

In addition, I invented a device which reproduces the Lorentz transformations in a mechanical way. I called it the Time Scanner. Surprisingly, besides the contraction and the time shift, this scanner also displays a Doppler effect:

 

The Time Scanner produces a Doppler effect on regular outgoing concentric waves.

This indicates that the electron, hence matter, should transform the way Lorentz predicted.

 

 

You should doubt this.

This was Descartes' recommendation. You should be extremely careful analyzing any of my hypotheses. But, reciprocally, you should also doubt all pseudo-certitudes which are common today.

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 to obtain lucrative college and university degrees, but it is nevertheless the best one towards error.

For instance, scientists very rapidly reject my discovery that light is made of composite waves traveling through aether. This happens because of three superimposed errors. Firstly, they think that light is made of photons. Secondly, they think that moving transverse magnetic and electric fields are involved because of Maxwell's equations. And thirdly, they think that aether does not exist.

However, I know a lot about waves, and this web site proposes more and more flawless demonstrations. If you did not examine them, you    are not entitled to reject them.

If you still believe that today's ideas are perfectly correct, then you are not a true scientist.

Think about it.

 

 

Here there is only one plane, and this leads to a half wavelength central core. However, more waves coming from many
        directions would produce a full wavelength core instead.

 

The electron creation.

Just a few waves can produce a spherical standing wave system. 

Then this system completes itself, and it can be stable because it is amplified by aether waves.

 

RIPPLES  ON  WATER

One can produce ripples on water by throwing a pebble into the calm waters of a lake. In this case, the waves are outgoing because they go away from the center.

One can also produce ingoing waves by using a large hoop. These waves will culminate at the center then go back, becoming outgoing waves and meeting the ingoing waves.

The following animation shows how the superposition of ingoing and outgoing waves produce a well-known undulatory structure: standing waves.

 

 This concentric spherical standing wave system was first proposed by Mr. Milo Wolff.

 

The Doppler effect.

If the hoop is slowly moved forward while producing such standing waves, they become compressed forward and dilated backward. This is the Doppler effect, which acts in the same way on ingoing and outgoing waves.

This produces a very special wave. Let's call it a pseudo-standing wave, because it is not a "standing" wave any more :

 

The spherical non concentric system.

Please note that this wave system is moving to the right.

 

The above images are displayed using an artificial 3-D effect in order to produce a more intuitive view. However, unlike waves on a flat surface, this wave rather extends into a three-dimensional space. It is made out of spherical waves. It is represented in its own moving frame of reference, where it does not seem to move. But in fact, it is a highly mobile wave system and it may change its speed and direction.

 

from : Gabriel LaFreniere studies, Bois-des-Filion in Québec. 2002

http://oriharu.net/SPHERICAL_STANDING_WAVES/matter.htm

all 33 chapters

Anyhow, optics and geomentry, simply show, whilst numbers and words, translate into equations and operations, or language,

our explanations. There is nothing wrong in reaching the truth following the wrong way, or a particular language, as long as You reach it.

Every path is a personal one. Mistakes are there to teach us. Ultimately, conscience, may arise from ignorance, when the seeker starts following

the harmonic path: so, chaos, giving birth to order, says that nothing in the Multiverse is apart, but belongs to the whole picture,

and You shall find things exactly where they should be. If they are not there, then, someone probably gave You the wrong coordinates,

position, location, name, equation, formula, explanation, ndication, direction, instruction, education..... and so on....

 

and here again, what I just predicted and explained....

 

Discovery of Fractal Lasers

Within an Anglo-Dutch research collaboration (involving the University of Salford, Imperial College London, and the University of Leiden), we discovered that certain types of laser designs output fractal light patterns. This work concerns fractal formation in linear systems, and is quite distinct from  our later studies predicting the emergence of spontaneous patterns in nonlinear systems.

Popular accounts of the fractal laser research:

Science background of fractal light discovery

The original aims of this work were focused on the excess noise properties of microlasers. A scaled-up experimental prototype of a microlaser is shown in figure 1. Such small lasers benefit from optimising their light amplification by employing so-called 'unstable cavities'. Within this type of  cavity geometry, the circulating light expands to allow high overlap between the amplifying medium and the light itself - see part b) of figure 1. Since the light is repeatedly magnified inside the laser, there will be strong aperturing effects. This is because, as the light beam gets wider, some part  of the laser cavity will act as an aperture on the circulating light. The role of the shape of this aperturing part is thus expected to be important for the microlaser output characteristics - see part c) of figure 1.

Fractal Laser Experiments

Figure 1 - a) Experimental configuration of the fractal laser, b) magnification of the circulating light, c) shapes of the aperturing element.

For each shape of cavity aperturing, there was a comparison of theory and experimental results for the laser output. We were rather surprised when a detailed study of the light intensity patterns was undertaken. The columns of figure 2 show transverse laser light profiles when the aperturing element  has the following shapes: triangular, rhomboid, pentagonal, hexagonal and octagonal. Looking down each column, one sees progressive development of additional small-scale details as the aspect ratio of each cavity is increased. Some of these output laser modes looked strikingly like 'laser snowflakes'!

Fractal laser modes

Fractal Laser Modes

Figure 2 - Cross-sections of laser beam profiles. Colour-coding is used to distinguish different light intensities.

Of course, real snowflakes are fractals (patterns with proportional levels of more detail when one looks closer and closer). Some further analyses of the laser patterns confirmed that these cavities did indeed result in fractal laser modes . In fact, the underlying principle of fractal linear  eigenmodes, in systems with magnification greater than one, may have much wider applications. For example, workers at the University of Glasgow were quick to spot that a similar principle could be employed to generate fractal patterns in video feedback systems, and that exact self-similar fractals were  possible.

Further developments (fractal light research)

In more recent developments, the experimental group in Leiden extended their studies to examine cavity designs that permit a very wide range of fractality - i.e. a greater extent of smaller-scale details. At Imperial College London, further investigations have included gaining a much better  understanding of the role of the cavity and the mode characteristics in determining the fractal dimension of the resulting laser light. A key limitation in our earlier theoretical investigations was that both semi-analytical and full-numerical modelling had been limited to relatively small aspect-ratio  cavities (and hence examination of limited ranges of the fractality of the light). The central problem there was in the mathematical description of diffraction from many two-dimensional apertures of widely-varying size.

Magnification of fractal modes

Magnification of Fractal Modes

Figure 3 - New compact formulations of Fresnel diffraction now allow us to calculate fractal laser modes to an arbitrary level of accuracy. This figure shows: cross-sections of laser beam profiles (top row), and magnified central portions of these mode profiles (bottom row).

At the University of Salford, we subsequently derived two new compact formulations of Fresnel diffraction arising from closed apertures of arbitrary shape. This overcame the earlier modelling limitations, and has allowed us to calculate fractal laser mode patterns with an arbitrary level of detail.  The detail permitted is only limited by the Fresnel conditions themselves. Figure 3 shows results from some sample calculations, involving the following aperture shapes: triangle, pentagon, hexagon, and decagon. In each case, one can magnify the central details of the laser mode to see even more of the structure present (shown in the frames below).

 

So, counting the steps... particle, wave, scalar, harmonic, fractal, quantum cymatic...and plenty more paths, all integrated within each other, without exclusion...

This attitude is Scientifically speaking, Consubstantial. Try this approach. Comprehend and practice intuition, insight, deduction and retrodeduction, and do not forget

to reach "Surgence", that shall allow You to see things in conjunction with others, relatively to, partecipating with, mutual function etc...

 

We shall call this state, or level of understanding: "Surgence Empathy Perception", and shall reach or use this method every time the Optative one shall fail to solve things.

Oversimplification, and reductiveness, only being the cause of postponing karmic consequences some time in the future. 

 

  

 

Jedi, with love...