So much for Wikipedia


Wikipedia Entry Set for Speedy Deletion -

I considered writing a small posting on Wikipedia to explain the Fundamental Dilator Paradigm. This is a fundamental part of my theory and the link (hidden variable) that allow one goes from Classical Mechanics to Quantum Mechanics...:)

I wrote the following little thing:

== Fundamental Dilator in the Hypergeometrical Universe Model ==

In the Hypergeometrical Universe Model,“particles” are considered to be coherences between 4D stationary states of metric deformation. These coherence can have spin (rotation along any axis perpendicular to R), and nuclear angular momentum (rotation around any axis in the Fabric of Space).

The Fabric of Space (FS) is defined within the Hypergeometrical Universe Model as the lightspeed traveling locus where all the dilators are located. This corresponds to a 3D hypersurface on non-compact Cartesian four-dimensional space. This lightspeed expanding hypersurface contains our 3D Universe.

Local deformations of the Fabric of Space are achieved by dilator dilaton field interactions which result in acceleration and eventually in constant velocity lateral travel. The inertial motion is how the Fabric of Space relaxes. Dilators will travel until they reach their Hubble angle. This is the Hypergeometrical Universe Newton’s First Law.

Since the boundary where the Universe (3D) is located is moving at the speed of light along R, the Hypergeometrical Universe Model does not contain the concept of particle since that doesn’t include the inherent lighspeed motion and has inherently some immutability assumptions.

The dilator is by definition mobile and always tunneling back and forth. It can have non-zero spin. In the Hypergeometrical Standard Model presented in the Hypergeometrical Universe blog, all particles models are shown to be decomposable into variations of the fundamental dilator. Different phases of the fundamental dilator correspond to Proton, Electron, Positron and antiproton.

There is an obvious analogy to musical notes. Each dilator phase (proton, electron, antiproton and positron) can be thought as dimensional notes (notes that modulate the space metric as opposed to air density).

Electron Model

Figure 1. 4D Stationary Deformation State diagram for electron

The coherence four notes repeat forever.
Where p=(2/3,2/3,-1/3), p*=(2/3,-1/3,2/3),e=(0,-2/3,-1/3),e*=(0,-1/3,-2/3) are a subset of states involved in the most common “particles”= proton, electron and neutron, isotopes, hyperons.

Below is another representation of the electron and positron. Notice that the first and last elements of the coherence chain are the same and that the coherence repeats itself for its lifetime. In the case of a proton/electron, that lifetime is infinite, since that coherence is between two ground states.
Figure 2. Dimensional notes associated with Electron and Positron.
Yellow (ligther)= positive charge.
Green (darker)= Negative charge.
White = Invisible in 3D due to 4D orientation – perpendicular to the Fabric of Space.

This is an effort to represent a tumbling 4D object, which changes shape as it tumbles. Notice that the sidewise states have no FS overlap. Interaction or “Existence” depends upon FS overlap and the frequency matching with the other dilators. This is the reason behind representing all “particle” in terms of the Fundamental Dilator or the Hypergeometrical Standard Model.

Since in the theory, there is an absolute time, one can define an absolute phase and that is what distinguishes an electron from a positron. Later it will be clear that more complex coherences involving the p* and e* state (neutrino states) will result in a phase shift of the tunneling process with respect to the tumbling process, thus modifying which state is in phase with the shock-wave universe.

The colors are shown only for states that have both a FS overlap and the same frequency as the fundamental dilator.

Another important element of the model is the bolding of the third axis length (e.g. p=(2/3,2/3,-1/3)). This means that the spin is a tumbling process around and rotational axis perpendicular to both the radial direction (perpendicular to all three spatial coordinates and the z coordinate). This defines a 4D angular momentum, which has to be conserved. More complex coherences like the ones associated with Delta and Sigma particles differs just by the final spin and thus by how the sub-coherences tumbles to make up the final amount of spinning.

Proton Model

Similarly for a proton:
Figure 3. 4D Stationary Deformation State diagram for proton

The coherence’s four notes repeat forever, thus the fourth state is represented connecting to the initial state emphasizing the closing of the coherence cycle. Belly up states represent anti-states (anti-proton or positron states).

Here is the representation of a proton and an antiproton.

Figure 4. Dimensional notes associated with Proton and anti-Proton.

The fundamental dilator is the paradigm behind the Fat Electron (4DMass=1.004145287 a.m.u. electron) used in the derivations of Electrostatic and Biot-Savart Laws in the Hypergeometrical Universe Model.

3D and 4D Masses

The Hypergeometrical Universe Model is a purely geometrical theory. This means that there is no concept of Mass, Charge, Force. Instead of Mass one has 4D displacement volumes (4DMasses) and their equivalent 3D FS Overlap displacement volumes (3DMasses).

This means that the dilaton field (lighspeed traveling dilatons) are coherently generated by all the four phases of the fundamental dilator and thus sense the equivalent volume of a proton and an electron. This means that the 4D Mass of Proton,Antiproton,Electron and Positron are the same.

Newton’s :Law of Gravitation, Gauss Law of Electrostatics and Biot-Savart Law of Magnetism were rederived from first principles as a law guiding dilator motion subject to a four-dimensional dilaton field. A Quantum Lagrangian Principle was proposed based on the minimization of virtual work done by constraints (FS). This QLP states that a dilator will step through the de Broglie expansion always in phase with the surrounding dilaton field.

Hence, 3DMass is the overlap of the fundamental dilator displacement volume with the FS.

The 4DMass can be understood as a mass proportional to the 4D volume associated with a dilator cycle. In a dilator cycle one has the two phases of an electron and the two phases of a proton, thus resulting in a coherent displacement 4D volume of a proton and an electron. The ideal 4DMass would be 1.00785 a.m.u.. The discrepancy is the result that the 4D space is not totally isotropic, that is, the shock-wave universe creates a small anisotropy that makes radial and FS orientations different in terms of displacement volumes of coherent states.

Below is the corresponding Balls Diagram for the Neutron and the Hydrogen Atom.

Figure 5. This figure displays the Neutron and Hydrogen Atom diagrams. Notice the red lines corresponding to the transmutation notes. These transmutation notes correspond to 3D rotations of the 4D displacement volume at specific phases of the dilator coherence.

The Hypergeometrial Model is based on the following diagram:

Figure 6. This figure shows the two cross-sections representing the Hypergeometrical Universe Model. The 3D Universe topology is one of a four-dimensional shockwave traveling at the speed of light perpendicular to our space.


Quantization in Astrophysics, Brownian Motion, and Supersymmetry (2007) editors: Florentin Smarandache; V. Christianto ISBN 819021909X


{{subst:Newdelrevpg=The Fundamental Dilator in the Hypergeometrical Universe Modelreason=UNDELETE_REASON}} ~~~~

== The Fundamental Dilator in the Hypergeometrical Universe Model ==

Below is the original discussion for the Hypergeometrical Universe Theory which has been published and peer reviewed. Please follow the links associated with the Quantization in Astrophysics book. The Hypergeometrical Standard Model will be published by the end of October in a Hadron Physics book. None of them were initiated by me. These are peer-reviewed books.

[ Quantization in astrophysics, Brownian motion and supersymmetry: by Florentin Smarandache; V Christianto]

[Amazon Description of the Book Contents]

Mr. Bachmann set my new page into a speedy deletion process which let no space for reviewing prior comments directed at my theory. He did not make any substantiate comment. He stated that my work was a HOAX, which did not stand scrutiny.

Below are some of the comments which are obviously out of place since the theory has been peer review and published. Snide comments such as "Quaint or WP:BOLLOCKS" have no merit since the theory is peer reviewed and published and show lack of civility unworthy to Wikipedia.
They did not have any merit at the time of their issuance. Any disagreement with the content of the work should be directed to a journal or at least should be made clear to me.

'''There is no copyrights violation in this page since all work is mine.'''

By the way, there is and there wasn't any copyright violations. Five dimensional spacetimes are common (normally they have compact dimensions like Kaluza-Klein). There has not being published a single model in which the 3D Universe is a shock-wave traveling at the speed of light. That hypothesis together with the Fundamental Dilator model allow for the unification of Gravitation and Electromagnetism. Had the reviewer noticed that detail, he/she would not mention that my work has been done before. The other comments deserve no reply, but if you need answer to any of my prior reviewers please let me know.

The Fundamental Dilator is a departure from the concept of Particle. Electrons, Protons, Antiprotons and Positrons are all modeled as different phases of the same 4D deformational coherence. This means that in this theory, those four particles displace the same 4D volume as they travel along the radial direction, thus having the same 4DMass.

This theory is an extensive theory and thus can only be published in books due to its scope. It is difficult for me to cover all the details in this communication, but I will be more than willing to explain anything to anyone.

If you have any questions or issues with respect to the page, please let me know. I will be happy to clarify anything.


Marco Pereira


The Fundamental Dilator in the Hypergeometrical Universe Model

It is nice that you people are having a little more appreciation towards my theory. I thought that Dieter calling it a HOAX or someone else calling it from Star Trek a little childish.

As I mentioned, I appreciate your efforts to keep crackpots from Wikipedia. I understand the risk, personal risk, you people face by being too much of an inclusionist. I am sure you understand that managing risk is a matter of equilibrium. If you keep novel ideas out, you prevent the dissemination of what might be a great idea. Science as it is today is very reactionary. My theory is currently 80 pages long and cannot be defended in chunks of 5 pages. It is a broad theory with the unification of Gravitation and Electromagnetism and a replacement for the Standard Model- a pillar of support of what that we hold near and dear.

I have to confess that the breadth and innovation that my theory brings is a hindrance to its dissemination. People like to see a constant build towards something. I analysed all physics and restructured it. The theory starts at a Classical Relativistic level with the proposition of a new topology for the Universe (a ligthspeed outward traveling shockwave 3D Universe embedded in a four dimensional Cartesian spatial manifold). It introduces absolute time and reference frames which are not observable within the 4D relativistic spacetime.

Einstein sought throughout his life the hidden variable that would make the transition between classical and quantum mechanics. With the introduction of the fundamental dilator paradigm, particles became shape shifting 4D displacement volumes -corresponding to the coherence between stationary 4D metric deformational states. Proton, antiproton, electron and positron are modeled as just phases of a 4D volume that spins while in contact with the 3D Fabric of Space. The displacement volume is modeled as a quantity proportional to our 3DMass. From that proportionality relationship I was able to assign a 4D mass for the fundamental dilator equal to the sum of one electron and one proton (1.00785 a.m.u.).

Using simple logic, I derived Newton's Gravitational Law, Gauss Electrostatics Law and the Biot-Savart Law. The non-metaphysical character of my theory becomes evident when I calculate from first principles two Cosmological Constant: vacuum permittivity and vacuum magnetic susceptibility.

The equations are shown below:
Mu0 DerivationEpsilon0 Derivation
  • N=1000 Avogrado’s Number/m=5.97523117131E+26fundamental dilators.
  • m = 1.00785 corresponding to the scaling factor from one a.m.u. dilator to the real dilator ‘s 4DMass.
  • c_ = speed of light
  • h = Planck’s constant
  • Lambda1 = h/c_/N where m is our proper estimate of the equivalent mass of a fundamental dilator. Mass difference from 1.00785 a.m.u. is within the error of the estimation (0.045%)
  • Lambda2 =Compton wavelength of N dilators (1 Kg)= h/c_
  • P = number of cycles covered at each de Broglie step of the Hyperspherical Universe expansion= 3.5 for spin half dilators (Fermions) and 3 for spin zero gravitational matter.




4DMass Proton=4DMass Electron



Avogrado's Number





number of wavelengths per de Broglie step



Dilator Units per Kg



C (electron charge)












1Kg Compton wavelength











Mass, g

Mass, amu










Hydrogen Atom





















The spreadsheet with the calculation can be found here:
The numerical value for m (the 4DMass of the fundamental dilator) that corresponds to the perfect Epsilon calculation is 1.0083077 a.m.u. or an error of 0.045%. Since the formula uses inputs with significant uncertainty, 0.045% error is certainly more than expected.

If you are a physicist, you might realize that there is not formula in any theory (physical or metaphysical) that calculates the value of epsilon. Of course, I also can calculate G for that matter.

Needless to say, the fundamental dilator concept is also the basis for the smooth transition between classical and quantum mechanics- the solution to the hidden variable problem that Albert Einstein failed to solve.

There are many other fascinating results I published in the Quantization in Astrophysics book and some that will be published on the Hadron Physics book due in November. The latest version of the work is in this link I am writing it because Geocities is having some glitches in the redirectioning of links.

I created a site for discussion and invited scientists, banker, bakers, PhD students or anyone to criticize (positive or negative criticism). I rarely receive any criticism and certainly I've never received any criticism which I couldn't solve, clarify or remediate. You are welcome to bring your questions, critique and that includes literary critique.

Now, returning to the posting in question. I demonstrated that the theory has been published, people had the opportunity to criticize it and chose not to. The reason why I tried to post it in Wikipedia is exactly because of this intellectual inertia or reactionary attitude (demonstrated clearly in the comments by your peers).

It is difficult to accept that a new and great idea might come from someone you never heard of...:) but not to allow that idea to be disseminated or discussed would be a crime against Science.

This is site where statements will be edited, discussed, ideas will come to life. I believe this is the best place for the Fundamental Dilator Paradigm to be presented.

I would appreciate if the summary deletion were considered in view of the new facts.

Thanks for your attention,

Marco Pereira

I will try to lead you through the above discussion. I replicated the original posting where I mentioned the Fundamental Dilator Paradigm. I briefly mentioned that the Hypergeometrical Universe Model is supported and support this paradigm.
Dieter Backman or something like that immediately call the theory a HOAX...:) Faced with the fact that the theory has been published and that it has been posted here for years without any substantial criticism... despite of my efforts to bring it on..:) (From time to time, I made outrageous statements - which I believe it as true, noneless still outrageous - like I solved the riddle of Time, or Due to the Quantum Lagrangian Principle - dilators surf 4D dilatons and because of their position in the horospherical referential frame, they also surf the 3D de Broglie wave projections. That means, that the two slit experiment can be explained by the real aspect assigned to the dilator field projection (3D de Broglie waves) and by the QLP that states that dilators will surf those waves...:) This means that the two slit experiment interferometric electronic deposition can be explained also by considering the electron to pass through a single slot while its horospherical dilaton will pass through all slots and interfere with itself on the other side of the blocking plate. This means that the electron will surf the interference pattern on the other side of the plate and deposit itself accordingly.
This is a challenge to the standard staple of Quantum Mechanics lectures..:) I am sure Feymann gave this lesson and most likely didn't believe it...:) Richard Feymann was smart enough to know that there was something fishy on the state of the art. Creating a new quark for each new particle or set of them was never a pleasant thing to see.
I recreated all hyperons and all isotopes with just a fundamental dilator and two transmutation subcoherences...:) That is a real economic model...:)
I guess I will keep posting my challenges to my audience always in search for some interesting discussion.
NOW, returning to the Wikipedia effort, well... it was a failure... complete failure... By the end, I was succeding in all possible aspects of the debate. I showed that there was a book with my work on it. I couldn't tell them if there was any reference to my work by a third party. I don't follow the literature and have the faintest idea if people will say anything about it. Pleople are very shy and will running from taking sides as much as they can...:) It is just natural..
I also couldn' provide a balanced discussion about the Fundamental Dilator Paradigm.... I didn't realize that there was this technicality - which was used by the ultrafast, and I mean it bureaucrat to eliminate my posting and all vestiges of my argument... You will never find anything in Wikipedia about the Fundamental Dilator nor the Hypergeometrical Universe Theory.
In fact, there is a way, someone will have to understand the theory and post something there...:) I will not hold my breath until this happens..;)
It was a valient effort. It was done. I failed and I will never try it again.
I had to try as usual for the reason that I believe that IDEAS are IMPORTANT...:)

That said, one can only make one's best effort.
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