Monday, July 28, 2008

Conservation Hypergeometrical Laws

Conservation Hypergeometrical Laws

In the Hypergeometrical Universe Theory there are only geometrical elements and two conservation laws.

4D Volume Conversation and 3D Volume Conservation. Of course, both are the same law but one could consider the 3D Conservation Law the law of rest mass conservation, while the 4D Volume conservation stands for Liner and Angular Momentum Conservation or for the Conversation of the Relativistic Energy-Momentum Tensor.

Since the Mass is actually the stroboscopic view of a changing displacement volume (metric modulation), this law is only meaningful (using the concept of mass) at specific phases of the de Broglie hyperspherical expansion. At other phases, one has to use the concept of conservation of 4D volume displacement amplitude, since the volume displacement not only does not conserve but changes sign (metric expansion to metric shrinkage) within each de Broglie cycle.



Sunday, July 27, 2008

The Solar Neutrino Puzzle

The Solar Neutrino Puzzle

Before I forget, let's take a look at the Solar Neutrino Problem.

Currently Physics takes a view that starting from the minute Electron Neutrinos produced in heart of the Sun by thermonuclear reactions one obtain the other much more energetic neutrinos (Muon and Tau neutrinos) because the state of the emitted electron neutrinos are a linear combination of the three neutrinos...:)

That would make a little sense but not much... Linear combinations of quantum states are also called coherences...:) and they occurs for states of similar energy (3D volume or 3D mass) or if an state of higher energy can be decomposed as a sum of lower energy states... This means that it would be appropriate to say that a Tau Neutrino is a coherence composed of a Muon and an Electron Neutrino...:) but the converse wouldn't make physical sense...:)

Let's see if this make sense within the Hypergeometrical Universe Standard Model.

First let's see those neutrinos again:

Below is the Tau Lepton Decay:

Resulting into ->
It is clear that the Tau Neutrino is a coherence between an Electron, a Muon Neutrino and an Electron Neutrino.

This means that a Tau Neutrino could dephase into an Electron Neutrino and a Muon Neutrino or be part of a coherence between itself and the other two neutrinos.

The distinction between this analysis and current science analysis is due to the weight placed on the "neutrinos" masses. The current understanding of the masses of the Electron Neutrino and the Muon Neutrino are correct in the sense that they are ejected in their lowest state. A Tau Minus Lepton can decay into a very Fat Tau Neutrino and an Electron. The Fat Tau Neutrino would have within as subcoherences four electrons and four positrons fundamental dilator chords. Those chords would eventually decay into gamma rays. The mass of the Tau Neutrino would be different with or without those gamma rays. I believe that is a suttle problem that precluded the Neutrino Oscillatory Model to be meaningful in the past.

Of course, this assignment for the Neutrinos also means that they are photo-accessible and that one could envision a "laser trap" to slow-down Neutrinos into a Neutrino Bose Condensate someday in the future..:) Just a thought..:)

Correct rest mass comparison would show that a coherence is possible without challenging energy conservation.

This would explain the missing Solar Neutrinos without having to resort to processes where a real (non-Virtual) particle with higher energy (Tau or Muon Neutrino) is created out of a lower energy particle (Electron Neutrino).

I always feel weird when I propose something that breaks down Energy (3D Volume or 3D Mass) Conservation...:)

I think that this is a better explanation.



Thursday, July 24, 2008

Sterile Neutrinos

Sterile Neutrinos

These neutrinos were hypothesized to exist and to be able to interact only through Gravitation. If they were real in any shape or form they would had modulated the development of the Universe.

Of course, they are also the reason behind weapons race associated with The Final Theory..:)

Currently, Science has the myopic view (4D Spacetime) which allows for incongruous reasonings like a circular spacetime (due to mass induced Spacetime curvature) etc. In this very primitive perception of the Universe, the existence of a new gravitationally interacting particle would change the effective gravitational mass distributed within the 3D Universe and that could induce the Universe to be a Big Bang to be followed by a Big Crunch etc...

Of course, this is meaningless and brainless in a 5DSpacetime with a 3D Shockwave Hyperspherical Universe paradigm.

In any event, I showed that the Electron Neutrino was associated with the 3D Rotation of the Proton-side deformation. Below is the Neutron deformation spinning double potential well:
This figure shows three coherences. The first is the Neutron coherence. Here an electron coherence is followed by a Electron-Proton Transmutation chord. This chord corresponds to a sub-coherence between states (2/3,2/3,-1/3) and (2/3,-1/3,2/3) or to a rotation around the X-axis. This occurs while the spinning perpendicular to R takes place and changes which state will be in phase with the 3D Hypersphere (our 3D Universe). It changes the in-phase phase from Electron to Proton. Later another Electron-Proton Transmutation Chord restores the Electron phase as the in-phase one.

Since there is no difference between starting from one phase or the other, the Neutron is actually represented by the two possible coherences, thus a dimer. As a dimer it has helicity, nuclear angular momentum and spin...:)

The stardard understanding of Strong Force is consistent with the fact that the interacting dilaton fields is only effective at very close distances.

My theory is based upon only a single interaction (dilaton field interacting with dilator). The Neutrino character of the Neutrino Family is due to the lack of synchronicity of those coherences with the rest of the Universe which is based upon the Fundamental Dilator. This, of course, means that there isn't any such a thing as an Sterile Neutrino...:)

The difference between Gravitation and Electromagnetism is due to the subject of the interaction and not due to a different form of interaction. This means that both Gravitation and Electromagnetism are governed by the same law...:) Due to the Quantum Lagrangian Principle, Gravitation would be null if there wasn't a curvature in the Shockwave Universe. Of course, this curvature is not due to mass distributions ..>:) it is due to the Age of the Universe multiplied by the speed of light - well, that is the radius of curvature...:)

It took me a while to chose which states would be involved with the Electron-Neutrino. Initially I considered that the Electron Neutrino should be associated with Electron States (0,-2/3,-1/3) and (0,-1/3,-2/3).

Only upon finishing the whole assignement, I concluded that it should be the opposite, that is, Electron Neutrinos are associated with coherences between Proton states (2/3,2/3,-1/3) and (2/3,-1/3,2/3). Of course, you should double check, I do my science while commuting in the subway..>:)

The Muon Neutrino can be understood from the Muon Minus decay equation:

The blue lines are Electron-Positron Transmutation Chords while the red lines are our familiar Electron-Proton Transmutation Chord. One should be able to easily recognize the coherence for the Muon Neutrino in the prior diagram just by looking at the Balls Diagram...:)

Below is the decay equation for the Pion Minus...:) It decays into an electron and a Muon Neutrino. In fact, it decays into an electron, a muon neutrino and an electron neutrino. Of course, the electron and positron fundamental dilators chords add to the decaying process an extra kick in terms of energy. That extra kick corresponds to the energy of anhiliation of a positronium (electron-positron)...:)

Neutrinos are not the same as photons.... I explained photons some time ago in terms of the waving of the wave source, that is, an spatial modulation of the source of the dilaton field. Since they have a footprint in the 3D hypersurface, they will have inertia and create their own dilaton field. The magic is that that dilaton field will have a different frequency or wavelength thus resulting in an effective zero interaction with matter or charge...:)

They will interact weakly among themselves, that is, Electron Neutrinos will interact with other electron neutrinos. Muon Neutrinos will interact with other Muon Neutrinos. There would be a null interaction among Muon and Electron Neutrinos. Of course, they will interact strongly in close range since one would average just a few cycles of the dilaton field. The fact that neutrinos correspond to rotations within the 3D hyperspherical shock wave universe of an static local metric deformation also means that their dialton near-field is significant.

The last known neutrino is the Tau Neutrino. There is a lot of confusion about the creation process of the Tau Lepton and the subsequent decay into Tau Neutrino. The most resolute data I obtained was that a Tau Lepton decays into a Tau Neutrino and 3 Pions. Here is the assignment for the Tau Lepton, its product decay and the Tau Neutrino relationship with the Electron Neutrino and the Muon Neutrino.

Below is Tau Lepton:

Next are the decay products:

There is an equilibrium between Tau, Electron and Muon Neutrinos:

That more than enough about Neutrinos..:)

Notice that electrons and positrons contained within the dilator chords anhiliate themselves in some decaying pathways impacting larger momentum to the Tau Neutrino. The Tau Lepton contains nine fundamental dilator chords thus being a 9-mer. Subsequent decay lowers the dilator symmetry.

In reality both the pion decay leading to a muon and muon neutrino (plus the yet undetected electron neutrino) also leads to a Tau Neutrino. The difference is the energy available. The Tau Lepton contains much more energy and thus was recognized as a different neutrino, but the Neutrino that comes out of a Pion decay and the one from a Tau Lepton decay should be the same entity, just with different energies.



ps- This means that the experimental mass measured for the Tau Neutrino is misleading. I considered an equilibrium but one could also consider an oscilation between the Tau Neutrinos and (Electron Plus Muon Neutrinos) states. Of course, one could create a Neutrino Laser using these energy levels...:)

Since these are very non interacting dilators the coherence length might be substantial. Sorry for the confusion, data about the Tau Neutrino or Tau Lepton is confusion at best.

Sunday, July 20, 2008



Don't quote me on that...:) During my vacation I read a very interesting book : The Final Theory by Mark Alpert. That would be a book I would like to be able to write, but I can't describe (paint) events to such level of detail..

In this "Science Fiction" book, the author writes about Einstein's effort to create a paradigm for particles that would be self-sustained within a 4D spacetime and produce interactions (Gravitation, Electromagnetism, etc)...

In my theory, I don't have the straight-jacket of a 4D Spacetime. I use a 5D Spacetime with a Lightspeed Expanding 3D Shockwave Universe and a Fundamental Dilator Particle Paradigm.

Geons are supposed to be micro-black holes where spacetime is so curved that future and past circles around...:) (in fact, the linear solution to this problem doesn't offer a steady spacetime deformation - it results in a leaky solution where the deformation decays in time, but let's stretch Science a little and consider the best this paradigm could provide...)This is used as a particle paradigm and as the source for the Hidden Variables that Einstein sought for so long to explain Quantum Mechanics. Hidden Variables in a Quantum Mechanical observation would explain Why in the Heck one has to use a probabilitstic model for interactions.

As soon as he delivered the Annus Mirabilis papers, Einstein was out-of-tune with the observed reality that the microcosmos is Quantum Mechanical, i.e., processes have to be described by wavefunctions and probabilities. Ironically, his paper on the Photoelectric effect launched the same revolution (Quantum Mechanics) he later fought against.

Coincidently, my theory was created one hundred years after his Annus Mirabilis....You can only imagine how much trouble I faced in trying to publish a theory of everything on that year (2005)...:)

His Classical Mechanical Mind demanded the existence of a hidden variable, something we are not measuring that would modulate inter-particle interaction. The GEONS paradigm fudges this hidden variable into being time itself (local time). The circular local time means that one can never know what time it is for each particle...:) and thus one has to average its dynamics... That would also mean that the particle would never leave its place and it would live in a Ground Hog Universe...:)

The Fundamental Dilator Paradigm eliminates this problem.
The above figure shows the spinning dynamics of the Fundamental Dilator, only horizontally lettered states are in phase with the 3D Lightspeed Expanding Universe. This means that for a particle to transmutate into another particle one has to provide a delay between tunneling and 4D spinning. This is done through 3D rotations, but it could be done by other means.

Interaction (Gravitational or Electrostatic) only happens when the dilator is fully overlapping the 3D Universe. Of course, mass (charge) is proportional to that overlap and thus interaction only occurs when the overlap is maximum. On those phases, the dilaton field is an interferogram and the next position of the dilator is known to be within the closest interferogram maximae. This closest interferogram maximae will have a 3D shape that depends upon the number of interacting dilators. The interferogram is actually three-dimensional..>:)

This uncertainty is the topological hidden variable that elluded Einstein and all Science until now...:)

By the way, Einstein was correct in demanding a hidden variable and considering wavefunctions (as a matter of fact) intellectually unsatisfactory. With the Hypergeometrical Universe Theory one can go merrily using Quantum Mechanics tools while having a deeper understanding of reality.

It is quite refreshing to be able to take a positive and supportive view of Albert Einstein's inquisitive mind...:) Most people in the fringes of Orthodox Science are viscerally against anything established. The same happens after his Annus Mirabilis. As soon as his Opus was done, people took him of his pedestal...:) Iconoclastic behavior....:)

I mentioned in the beginning of this blog that my theory grew out of my attempt to understand what my predecessors did right even when they didn't know why they were doing...:) e.g. Bohr in Quantum Mechanics, Newton in Dynamics and Gravitation, Gauss, Faraday, Newton and others on Fields...

Starting from that perspective it is quite difficult to feel comfortable as an iconoclast...:) I am just someone who came afterwards and paid attention to details..:)

Not unlike in Mark Alpert's book, my pursuance of the theory of everything brought me in closer proximity to an excentric billionaire...:) Due to my reading of the book, I cancelled my visit to the Castle... (just kidding).... I decided that there was too much noise and stayed in London instead...:) Venice was great.... I loved the Fragosa, Fuiti di Bosco Gelati... Rome was amazing... Went to Cesar's house...:)

Later I will talk about Sterile Neutrinos..>:)



The Holographic Principle

The Holographic Principle

S<= A/4

This is almost correct. If you remember that the Hypergeometrical Universe has one extra non-compact dimension (R) and that the position of each dilator is "ALMOST" perfectly defined by its local dilaton field, one would be tempted to extrapolate this equation into its hyperspatial equivalent.

That would mean that the total information (Entropy) about the particles in a volume of our 3D Hyperspherical Ligthspeed Expanding Universe is contained in the dilaton interferogram on the next de Broglie step. In fact, this is true to a certain point. One cannot forget the ALMOST in the prior statement. An dilaton interferogram will have an infinite number of points spaced with a minimum deviation from the current particle position. At each de Broglie step, the uncertainty on the particle trajectory increases due to non-uniqueness associated with the interferometric process.

If time weren't pseudo-quantized through the Fundamental Dilator Paradigm, the dynamics would be certain and there wouldn't be any quantum mechanics effects.

I suppose that the smaller sign takes care of the interferometric uncertainty (Quantum Mechanics) contribution to the entropy.



Einheitliche Fieldtheorie

Einheitliche Fieldtheorie

This is a Theory of Everything but it is not an Einheitliche Fieldtheorie. The emphasis is not in the creation of a field that would result in a Quantum Universe where all Forces were unified but in the creation of an Unified Description of Interaction and Dynamics.

One has been told many times to keep the Eyes on the Prize and an Unified Description of Interaction and Dynamics is the Prize.

The Einheitliche Fieldtheorie is just an historical artifact from science going in the wrong direction and missing the forest by the trees. One can never compete with the formal beauty of a Field Theory but Science is only a beauty pageant for the shallow scientist...:) Forgive me Dirac but it was shallow to say that for a theory to be correct it has to be beautiful...:) since beauty standards change with time...:)

Instead, I observed the implicit hypothesis contained in the concept of Field. A field is an extensive property of the number of particles. This means that metric deformations associated with each particle should add coherently such as to produce a field whose intensity scales with N (Number of Particles) as opposed to the other possibility which is to vanish by incoherent averaging all phases.

This means that instead of creating fancy fields one should use the fact that Gravitational Field and Electromagnetic Field are concepts supported experimentally thus creating experimental support not for the existence of a Field but for the existence for what supports the concept of a Field.

This is, of course, the Quantum Lagrangian Principle proposed in my work. Each dilator step through the Lightspeed Hyperspherical Expansion always in phase with the local dilator field. It is not the field that adjusts to the position of the dilators but the converse. The dilators choose to position themselves where they do the least work against the metric....(zero work).

Of course, doing zero work also means that Gravitation or Electromagnetism are not dissipative, i.e., do not decay in time just because there are other dilators in its range.

The scale of the dilaton field metric deformations is unknown to current science. Why would a metric ripple with the wavelength equal to the Compton wavelength of a Hydrogen Atom be so preeminent in any ones theory. If you didn't hear about such very fine ripple is because nobody ever thought about it.

In fact, by doing a simple search I found a book that almost got it right

In 1958, the author L. S. Levitt noticed the relevance of my dilaton field, but without understanding four dimensions and the Fundamental Dilator paradigm he missed and proposed that the metric grating had a spacing equal to the Compton Wavength of a Proton as opposed to a Hydrogen Atom... :) Of course, they are very close. Nevertheless it was quite a keen observation. He proposed the quantization of space to be equal to the Compton wavelength of a Proton. Others BS about the Quantization of Time...:)

The problem with straightforward quantization of (local) time and (local) space is that they are relative and thus cannot be quantized. The impossibility for one to conceive an absolute reference frame precluded all these pioneers from discovering my topology. The Shockwave nature of the 3D Hypersurface makes it thin thus making it impossible to refer to the preferential direction or to measure the passage of the Absolute Cosmological Time...:)

Science will slowly understand what I did here but that could be expedited if Censorship weren't so prevalent.