Wednesday, July 08, 2009

Universe as a Higher Dimension Shock Wave






Universe as a Higher Dimension Shock Wave




Many people might have a knee-jerk reaction to the premises of the HyperGeometrical Universe Theory of Everything (HU for simplicity)...

There are undoubtedly new ideas which are tough to digest. We are all used to think the same thoughts and new concepts are supposed to receive higher scrutiny. I will try to clarify some of the most likely contentious points of the theory:

  1. The first that comes to mind is the iconoclastic idea that we are traveling at the speed of light from the focal point of a four-dimensional space (or five dimensional spacetime) Big Bang.

The Big Bang has been proposed to be the result of a four-dimensional Big Bang in the past. Li and Wesson proposed this in his paper "The Big Bang as a higher-dimensional shock wave". In this paper the three dimensional Universe is presented as a hypersurface immersed on the fifth dimension. Solution for Einstein field equations without sources are provided including Wave-Like solutions of RAB=0. The topology is a one of a matter filed thus curved 3-D space in a flat 4-dimensional space. This means that the curvature is mass derived and the Universe resembles more an sphere inside a swimming pool. The Big Bang shock wave can be thought as 3-D shock wave crossing a page-like (flat) Universe. The crossing of the shock-wave creates what I consider an unpalatable anisotropy. Just a matter of taste.

In my theory, the shock wave creates not a flat Universe curved by its mass, but a 3-D shell-like expanding at the speed of light. It is difficult to be precise when speaking about curvature along a dimension we are not used to think about. I will only mention that there might be differences when I speak of curvature and when Relativity speaks of curvature. The other point is that the 3-D shell is defined based on the figure above, that is, X, Y and Z are perfect circles. As we travel around the Universe, we are always in the hyperspherical shock wave and if it were possible to propel oneself at speeds higher than the speed of light we would be able to go around the Universe. In fact, we would be able to get out of the Universe into the Void.

One might ask why the speed of light? The answer is simple and based on the following points:

  1. Black Holes are considered to be very curved spacetime created by accretion of mass.
  2. If we fall in a Black Hole we will be one with it, thus we will be a deformation of spacetime.
  3. If item 2 is correct, we should be a deformation of spacetime since the beginning.
  4. Light is due to alternate motion of matter (electrons), thus it should be a propagating deformation of spacetime.
  5. Light propagates at the speed of light.
  6. We are a non-constrained deformation of spacetime and thus we also should propagate at the speed of light.
  7. If we are not traveling at the speed of light, that should mean that we are traveling perpendicularly to the directions we are able to see, thus we should be traveling perpendicular to our 3-D Universe.
  8. The fact that we don't see anything from outside this Universe means that there shouldn't be any dilator (generator of spacetime oscillations) outside our 3-D shell.
  9. The topology should be hyperspherical or whatever one would call this 4-dimensional object I proposed in my papers...:)
  10. The space is naturally curved and has a radius of curvature equal to the dimensional age of the Universe (c * the age of the Universe).

It is important to notice that prior 4-Dimensional proposals of Big Bang as a Higher Dimensional Shock Wave missed the possibility that the Universe itself would be the shock wave.

Saturday, July 04, 2009

Hypergeometrical Cosmology








HyperGeometrical Cosmology




The HyperGeometrical Universe theory is a simple Theory of Everything that based on clues from Relativity and Quantum Mechanics proposes that the Universe is actually an expanding shell on a light-speed expanding hyperspherical space disturbance. That shell where our Universe lies is a three dimensional hyperspherical shell that travels outwards at the speed of light.



Simple inspection of the above figure allows for many conclusions.

  1. The first one is the Hubble expansion and why the Hubble constant is not a constant.
  2. The Big Bang occurred in all points of the Universe at the same time. This explains why wherever you look, if you look far enough, you will see the beginning of the Universe.
  3. In a three dimensional Big Bang a tremendous amount of anisotropy would ensue. One does not expect to find pieces of a bomb where the bomb exploded. Many "explanations" were proposed but as far as I can tell, they were not palatable.
  4. The Four-Dimensional Big Bang is the only model that allows for a smooth microwave cosmic background. It is my believe that the background is actually the Doppler shifted gamma radiation from the early few seconds after the Universe was set in motion.
  5. The reason for 2) is that at the time the Universe was set in motion (point of supersymmetry of the hyperforce), energy flew from each and every point of the early Universe. As the Universe expanded, energy that traveled the dimensional age of the Universe (circa 15 Billion Light years) will be reaching you by now no matter where you look.
  6. There is a funny corollary: Everyone is the center of the Universe (at least of the three-dimensional shell where we live).
  7. Newton proposed that a body under the influence of no force will travel in straight line with constant velocity. This model explains why it will continue moving and inspection of the figure above shows that is is never a straight line.
  8. The HyperGeometrical Universe Theory shows that non-inertial motion takes place through the change in propagation vector. Two radial trajectories (outgoing along the Radial fourth-dimension or k-vector along the Radial direction) at positions separated by alpha radians (see figure above) will run away (Hubble expansion) from each other at speed alpha * c (velocity of light). If a body starts moving from Point A with speed alpha*c, it will continue moving until it reaches a point alpha radians from Point A (Point B). Reaching that Point B the body will simply move outwards while its Hubble speed from Point A will remain alpha*C. In this model , motion is due to a change in k-vector which has a dual equivalent as a local spacetime deformation. The motion from point A to point B relaxes spacetime and make it naturally curved again. This means that the HyperGeometrical Universe Theory provides the reason for free motion and complements Newton's Law...:)
  9. Of course, inspection of the figure also indicates that opposing point in the Universe will travel apart at speed equal to Pi*C (greater than the speed of light). Of course, this is immaterial since it is impossible to cross more than a radian in any direction (at the speed of light through the duration of the Universe).
  10. Two regions of the shell separated by one radian will run away from each other at the speed of light...
  11. If you look into the sky at positions distant from you the dimensional age of the Universe, you will be looking at your very next neighboring point when the Universe was just a few millimeters wide.
  12. In summary, the Universe has a radius of curvature equal to the dimensional age of the Universe, is finite and circular and cannot ever be traversed.
  13. The answer to the Age Old question of what do we have after the end of the Universe is more Universe (you just cannot go there ever..:)
  14. The Universe is in expansion and that doesn't depend upon the Universe mass content nor Dark Energy or anything slightly shadowy... This is an expanding four-dimensional Universe. Einstein could only see three dimensions and thus was concerned with the mass content of the Universe and the mass induced curvature. In this model, these kind of considerations might have a meaning locally.
  15. The average curvature is defined by HyperGeometry (or Geometry)...
  16. Please review the attached paper HyperGeometrical Universe - Cosmology and the original HyperGeometrical Universe -Grand Unification and feel free to ask any questions or to provide any comments.

Thursday, July 02, 2009

HyperGeometrical Universe Topology









HyperGeometrical Universe




From the name of the theory one can conjure up that the Universe topology I am proposing is of a LightSpeed Expanding Hyperspherical Universe, that is, the three dimensional Universe is located in a very thin space disturbance that propagates outwards (radially) at the speed of light in four-dimensional spatial Universe. The fifth dimension is the Cosmological Time.

Since the spacetime itself is a non-compact five dimensional manifold, there is a need for the three-dimensional spatial Universe, we are so used to, to be thin along the radial dimension.

The thinness is consistent with a localized event (Four-Dimensional Big Bang) that set the Universe in Motion fifteen billion years ago. A thin travelling shell is clearly the remnants of an above dimensional threshold event (Big Bang) that generated the Universe.

This is also consistent with the lack of aberration we see in our Universe. If the Universe were set in motion by a longer lived event, there would be aberration, which is difficult to visualize.

All forces we see are actually projections of the interactions that takes place in the five dimensional space. All forces including the ones associated with the most violent events in the Cosmos are just the result of interference patterns on a Four-Dimensional Hypersphere. In the papers contained in the Yahoo Groups site, you will find how using simple intereference patterns one can replicate Gravitation and Electromagnetism interactions.

That said, it is time to introduce X Particles This is actually a solitonic normal mode of space oscillations. The soliton aspect is mentioned to emphasize its traveling and localized nature. Different particles would correspond to different modes of oscillation and rotation of the X particles.

The fact that these are four-dimensional particles allow for three axis of revolution. The particle is a four-dimensional ellipsoid of revolution. Three axis of revolutions means also that spin, which is an intrinsic motion under current Science, becomes an extrinsic tumbling.

The axes of this ellipsoid of revolution maps to the quark content of a particle. Negative quark (down quark) is mapped to a negative phase (180 degrees out of phase with the oscillations of positive axes) in spacetime oscillations.

Now it should be clear that X particles are spacetime oscillators that thumble (spin <>0) while traveling at the speed of light with the rest of the Universe (also composed ot X particles) along the Radial direction. Particles with spin zero do not thumble and correspond to surface modes generators of the traveling hypersphere.

This theory revises the Standard Model with some interesting results, which will be review later, if there is interest.

Now let's investigate the first assumptions of the HyperGeometrical Universe Theory.

Are we actually traveling at the speed of light?


The most obvious indication that we are traveling at the speed of light is the famous Einstein Equation E=mc^2

Relativity states that the energy of a particle with rest mass m0 and momentum p is given by:


(A.1)

where m is the mass in motion.

This equation has implicit assumptions which can be brought into light by considering it a momentum conservation equation instead:


(A.2)

This is obviously the Pitagoras Equation for moments in two perpendicular directions adding into an hypothenusa aligned resulting momentum. The p momentum is our 3-dimensional linear momentum, while the m0C is the momentum perpendicular to our three dimensional space and it has a c-speed (the speed of light).

This indicates that we can consistently travel at the speed of light perpendicular to our three dimensional space and that will explain the E=mc2 energy.

Einstein did not realize the possibility of a hyperspherical expansion. Without that insight, the E=mc2 formula has no underlying reason for being.The energy has to be stored somehow, either as kinetic or potential energy and the storage mode has no connection to Relativity, that is, Relativity provide no guidance to how Nature store the famous nuclear energy. Without guidance, Science followed the potential energy paradigm, but missed the infinitely simpler and more elegant kinetic explanation. This theory tries to correct that misdirection.

This means that the nuclear energy is explained as being of kinetic nature and that precludes any potential energy stored in the form of strong or weak forces.

Needless to say, this is a great simplification and that is why it is a good idea to take one step back before moving forward in this area. In fact, the projection paradigm presently used, can be stretched further using the guidance of the hyperspherical topology, although that doesn't seem to be the best usage of it.

TIME THE FINAL FRONTIER

Talking about the meaning of time will require a Thought Experiment and that will address only what I called the PROXY OF TIME. c.t1 and c.t2 are proxies of time in the Lorentz transformation. They are proxies because they do not reflect time flow itself but are a artifact of multidimensional wave decomposition. I call them dimensional time in my papers.

Consider yourself as Being an Amoeba Stuck to the Surface of an Upwards Traveling Air Bubble (Traveling from the bottom of the sea to its surface) to understand it...:) ... You will also have to understand the concept of Proxy....

Remember that Chemical reactions will increase their rate as the temperature increases (in general, just go along and don't sweat the fine stuff). This means that the Amoeba will speed up as the temperature increase and temperature is increasing function of height from the bottom of the sea. This means that the PROXY OF TIME will speed up as it travels upwards.

Let's say that the Amoeba knows its biological clock (rate of replication) and can measure the passage of time by measuring how its colony grows.

This Amoeba, looking on a telescope, will see another bubble with other Amoebas and conjure up some theory of how time passes as you distances from each other (vertically). A very complex theory will be derived. The theory would be simple if the Amoeba knew it was traveling upwards and the temperature profile and the rate of acceleration of their biochemistry with temperature. Notice that chemistry is what controls their sense of time. In our case, velocity (local spacetime distortion) controls the speed of all forces, which in a Grand Unification Theory as this one, is just one.

Fortunately we have a simpler problem.

We are also dealing with relative speed, height and its influence on the PROXY OF TIME passage. Similarly to the Thought Experiment, there is a height (distance traveled by the HyperSpherical LightSpeed Expanding Universe) since the Big Bang (circa 15 Billion light years) and there is a relative measurement to be made. In the Amoeba case, it was the relative distance (PROXY OF TEMPERATURE DIFFERENCE). In our case it is a relative imaginary angle difference.

Lorentz transforms are equivalent to a rotational in a four-dimensional space, but they can easily be understood as a rotation in a five dimensional space, where the new direction (dimension) reflects the existence of an absolute time and a Radial direction (c.t1). Any inertial reference frame corresponds to a rotational of an imaginary angle around the Cosmological Time Direction. Since we don't have any reference to be able to see what lies outside our thin Universe crust, we can't never see the Radial propagation or have an idea of where is this preferential direction pointing towards. We can measure only the angle difference between two bodies in this 3-dimensional crust. This means that we are in the same boat as the Amoebas Stuck Inside Raising Bubbles and can only measure relative time passage.

The other conclusion is that Lorentz transformation corresponds to a rotation by an imaginary angle between the reference frame and a Radial Direction and that any system in this Universe would be traveling at the speed of light radially.

This means that the cross section of the Expanding Hyperspherical Universe can be thought according to the figure below:



Figure 1. Shows the cross-section XTau for the expanding Universe. The Universe length along X is represented by the band. X (or Y or Z) is displayed along the perimeter of the circle. Also shown in the diagram is PSI (Cosmological Time) and Radial Time R.



It is clear that space is curved in this model and that the radius of curvature is the dimensional age of the Universe (age of the Universe times the speed of light).

From Wikipedia

Wikipedia description of a Lorentz transformation. It relates coordinates (x1,y1,z1,ct1) to (x2,y2,z2,ct2)

Notice that it corresponds to a rotation of an imaginary angle around a direction that is perperndicular to x2 and t2, not unlike a rotation around F the Cosmological Time coordinate.

Notice that the concept of time flow depends upon the angle between c.t1 and c.t2, which are represented by tau and tauPrime in the diagram.

Sunday, June 28, 2009

Hypergeometrical Universe





The HyperGeometrical Universe





I finally decided to blog my theory into existence...

In this Blog, I will present the Theory of Everything which I aptly named The HyperGeometrical Universe.

For a deeper analysis, please visit the yahoo group site with the papers and FAQs. Here I will just explore the more interesting aspects of the theory.

The origin of the name is not the Hypergeometrical Function, but the fact that all elements of the Universe are described geometrically as solitonic states or deformation waves of a flexible five dimensional spacetime.

The added dimension in this space is non-compact and this new simple topology explains everything better that present compact topologies.

The theory is composed of four parts:
a) Grand Unification Theory
b) Cosmology
c) Cosmogenesis
d) HyperGeometrical Standard Model

Here I will present the first two parts and that will be enough to answer the following transcendental questions:
Q1. How was the Universe created ? -
This is answered by the Hypergeometrical Cosmogenesis Theory.
Q2. What lies outside the Universe?
Q3. What is the shape of the Universe
Q4. Why can’t one see the absolute past or the future?
Q5. Where did the Big Bang occur?
Q6. Why is the Universe so isotropic and homogeneous?
This is a late line of questioning originated from the measurements of the cosmic microwave background. The cosmic microwave background is considered to be the result of Big Bang and it is puzzling isotropic and uniform.
Q7. What is the origin of the Microwave Cosmic Background?
Q8. Why isn’t the Universe more like the result of any other three dimensional explosion?
Q9. Why is the Cosmological Constant so close to zero?
Q10. Can we travel at speeds higher than the speed of light? Are there objects moving at those speeds in the Universe?

I will also be happy to tell you What Time is and that Time is both ABSOLUTE AND RELATIVE.

Time has always puzzled Mankind. Newton, Einstein and Mach (and others) have their interpretations of time.

You will have to go through a Thought (Gedanken) Experiment of Being an Amoeba Stuck to the Surface of an Upwards Traveling Air Bubble (Traveling from the bottom of the sea to its surface) to understand it...:) ... You will also have to understand the concept of Proxy....

The nuances will be a little toughter to understand but stick to it and it will be rewarding.
________________________________________
Now let's start....

Development in this area are currently driven by two forces:
a) group theoretical considerations and
b) the attachment to the prior formalism (e.g. Maxwell Equations in Kaluza-Klein Theory,etc.), that is, one would like to recover asymptotically those equations from whatever Theory of Everything one can concoct.

These two forces are really one. The group theoretical considerations are used to keep only topologies that are consistent with prior developments.

In summary, we are attached to form as opposed to content.

It turned out, that those are unnecessarily restrictive constraints. In my line of thought, I revised the whole formalism by keeping only the reasons behind it. This will become clearer in subsequent blogs.

This theory is a simple theory of everything, simple enough to be the framework where one can describe all known (known to me) physical phenomena (nuclear scattering, electromagnetism, radioactivity, gravitation) and it is complete (account properly for all the energy bits that are contained in matter).

From Wikipedia - The "Plato's Allegory of the Cave"

I will start this Blog with the description of the situation as I see it. The best description is given by the Allegory of the Cave direct from Wikipedia, and reproduced below:

Imagine prisoners who have been chained since childhood deep inside a cave. Not only are their limbs immobilized by the chains; their heads are chained as well so that their eyes are fixed on a wall.

Behind the prisoners is an enormous fire, and between the fire and the prisoners is a raised walkway, along which shapes of various animals, plants, and other things are carried. The shapes cast shadows on the wall, which occupy the prisoners' attention. When one of the shape-carriers speaks, an echo against the wall causes the prisoners to believe that the words come from the shadows.

The prisoners engage in what appears to us to be a game - naming the shapes as they come by. This, however, is the only reality that they know, even though they are seeing merely shadows of images. Suppose a prisoner is released and compelled to stand up and turn around. His eyes will be blinded by the firelight, and the shapes passing will appear less real than their shadows.

Similarly, if he is dragged up out of the cave into the sunlight, his eyes will be so blinded that he will not be able to see anything.

At first, he will be able to see darker shapes such as shadows and, only later, brighter and brighter objects.

The last object he would be able to see is the sun, which, in time, he would learn to see as that object which provides the seasons and the courses of the year, presides over all things in the visible region, and is in some way the cause of all these things that he has seen (The Republic bk. VII, 516b-c; trans. Paul Shorey).

This part of the allegory, incidentally, closely matches "Plato's metaphor of the sun" which occurs near the end of The Republic, Book VI.


Once enlightened, so to speak, the freed prisoner would no doubt want to return to the cave to free "his fellow bondsmen". The problem, however, lies in the other prisoners' not wanting to be freed: descending back into the cave would require that the freed prisoner's eyes adjust again, and for a time, he would be one of the identifying shapes on the wall. This would make his fellow prisoners murderous towards anyone who attempted to free them.

This is what I faced when I tried to publish this theory and this is the reason why I decided to have a broad review of my ideas in a public setting.

I will start building the framework of the theory next.

Sunday, June 14, 2009

The W-Minus Particle



The W-Minus Particle

Last week I had the pleasure of sharing the company of a very bright young fellow from the D0 project during a trip from Brazil.

Of course, we know how they work. In the case they are caught, Fermilab will disavow any knowledge of their existence and they would have to take the cyanide pill – You know, one should keep appearances…J

We discussed many aspects of my theory while he grilled me and reached conclusions based upon the little knowledge I was able to impact during our brief conversation.

He proudly showed me that he worked on the measurement of W-Minus boson mass and that he is what physicists called a Theorist's Theorist (Theorist Squared), that is, the highest level of abstractionist possible while still being called a physicist…J some called them mathematicians behind their backs..:) ( I am one of those…J)

D0, which I will call Rafael as a homage to the Illuminati painter ..:) for sake of keeping the innocent safe, told me several things.

The Sistine Madonna, details of the angels (1513-1514) by Raphael

One of them is that they had just measured the mass of W-.

D0 (DeltaZero) mentioned that he did not see value in my theory bridging the gap between Classical and Quantum Mechanics and even mentioned that that bridge is a simple graduate school class exercise.

He failed to realize the meaning of the word Principle in Equivalence Principle. A Principle is proposed when there is no way to derive the result from a previous theory. It is the basis of the subsequent theory or logical framework – in this case Quantum Mechanics.

It is not correct to say that since particles have to be described by functions and functions can be described by Fourier transforms then p -> -ihbar Delta.

In saying that one is imposing the hidden hypothesis that particles have to be described by continuous functions as opposed to state variables (position, mass, momentum) which are just numbers. Of course I mentioned Rafael that Albert Einstein spent his whole life trying to figure out how to link Classical and Quantum Mechanics. That would normally be enough to establish that understanding how the classical view of the Universe and the quantum view of the Universe link together is relevant.

I also mentioned that the fifth dimension (R) and the Quantum Lagrangian Principle and the Fundamental Dilator Paradigm naturally introduce the spatial uncertainty and wave character to the dynamics of dilators.

D0 is just an outstanding graduate student but the failures of basic understanding are common to all practitioners in love with form while not paying enough attention to the underlying physics. Of course, theorist's theorists are to blame if one needs to name names…J

Of course, W- is the particle that "carries the Electroweak Force" and it is responsible for the Neutron decay etc.

Here we described Neutrons as well as any other particle as being coherences between deformational states of a 5-Dimensional Metric. Since many of the particles interact, they are described in terms of the Fundamental Dilator coherence, as a result of a simple Fourier integration consideration. All interacting particles should have non-zero interaction integral, that is, one cannot have non-correlated dilator coherences and have a non-zero interaction.

In addition to the standard spacetime (locally Lorentzian or Minkowiskian), there is a tremendously big extra dimension measured by its radius of curvature as the dimensionalized age of the Universe (lightspeed time the age of the Universe). The exact age of the Universe was calculated from the Pioneer anomaly discrepancy in another page of this blog.

Dr. Illuminati above shows two cross-sections in the place of his eyes. Those cross-sections are where our beloved 3D Universe is at..:) Where you read X, you could read Y or Z. For bodies without orbital angular momentum, there is a complete symmetry and X,Y and Z can freely rotate with respect to R (the radial direction). Angular moment breaks this symmetry. Later I will explain how to solve all our energy problems and interstellar travel problems using this little bit of information…J My bright D0 (DZero) fellow should be able to understand this obscure statement... Well, perhaps not, since it doesn't come as a symmetry but instead as a breakdown of symmetry…J (Don't try to use Noether theorem here..)…

I've been very critical of theorist's theorists since they cannot understand the value of physical insight. That said, I certainly value their abstraction capabilities. In my time, we used to propagate Green's functions by hand… now-a-days the same equations are propagated by Mathematica, Matlab, R or Maple packages. This makes life easier, people more productive but also makes physics less visible. All of this doesn't make the people less brilliant, specially Rafael who is a brilliant person. As you know, a brilliant man or woman will reach the correct or wrong conclusion faster than a less intelligent person. The quality of the conclusion (right or wrong) depends on which hypotheses one chooses to begin one's reasoning…J

Well, if that is the case that will yield a very clear prediction within my theory.

My theory contains only four experimental parameters. One is the Planck constant which relates mass to wavelength projections onto the 3D hypersphere surface. The second is the speed of light. The other two are angles associated with the Electron-Proton and Positron-Electron transmutation notes.

There are other minor parameters (moment of inertia) which can be derived from first principles and geometry.

Let's review the neutron description:


This description shows the two red lines corresponding to the Electron-Proton transmutation notes.

This diagram leaves W- without a description. It just happens that before the electron and anti-neutrino appears a Boson (W-) has a brief existence. Of course, this is not a problem. Below is the channel containing the famous W- boson.

To understand what this means one has to look into the state description of the Neutron.



Heisenberg in 1932 stated that Protons and Neutrons were just degenerated states of the same "nuclear" potential or Gauge field. Of course, this hypothesis failed to meet the requirement of being geometric. It introduces willy-nilly another gauge field…J and doesn't make a simple model for charge. In my case, charge is just the relative phase of dilation of the dilator's coherence. Notice that the Proton and the Electron differs only by the phase of the initial state. The electron starts on the top state (electron state) and the proton starts from the bottom state (Proton states). Also notice that the two states associated with each particle is clearly defined. They differ just by orientation, that is, a transition between (2/3,2/3,-1/3) and (2/3,-1/3,2/3) corresponds to a 90 degrees rotation around the X-axis.

Of course, for someone to define a phase one has to define a Universal Clock. How can one have a Universal close and still be consistent with Strict Relativity. Again, look deep into the eyes of Dr. Illuminati and see that the local time tau and the local direction x are free to rotate (local deformation of the Fabric of Space) all the way to 45 degrees. The hyperbolic nature of our local time is due to the choice of equations of motion and how we describe force and mass – non-geometric concepts. In my theory, dynamics is ruled by the Quantum Lagrangian Principle and interaction has no poles…J thus no infinities, renormalization/regularization etc…

These are dynamic differences despite of the fact that they are represented similarly to energy differences. I had to create this splitting because it takes time to rotate and during that time the dilator continues spinning within the 4D spatial manifold while propagating at the speed of light along the radial direction. Sub-coherences between these states correspond to rotations within the 3D space and change the phase relationship between tunneling and spinning. This shifts which phase will be flush with the 3D lightspeed expanding hypersphere. Only phases overlapping the 3D Universe at the appropriate phases interact or exist. I used "I interact therefore I exist" paradigm.

In the W-Minus coherence, it is clear that the electron coherence is flanked with two electron-proton transmutation notes. Those notes have the effect of rotating the local metric deformation within the 3D hypersurface thus introducing a dephasing between spinning and tunneling. If you are spinning perpendicularly to R and X, after two 3D rotations you would be rotating around R and –X, thus alternating spinning direction at each de Broglie step. This means that the W- would behave as a BOSON, that is, it has zero effective spin.

There is nothing special about being a boson or not. Certainly there isn't anything about carrying a FORCE be it strong or weak. The mismatch in period introduced by the red lines (Proton-Electron transmutation subcoherences) results in the finite neutron lifetime. Different particles have different period mismatches and thus different bandwidths. This mismatch is what induces the local deformation of the fabric of space and thus the exiting speed.

I noticed that D0 failed to keep his editorial prerogative. Rafael mentioned that since he was not convinced with my arguments (limited by my care of not upsetting my judge and by good manners) he would not redirect others to my blog. The fact that he mentioned it to other members of the D0 group is that Batavia, Illinois (Fermilab) has been among my latest readers. They read it before, but I am giving Rafael the benefit and considering that he was able to see beyond the simplicity of my theory the strength of my ideas.

Of course, Quantum Chromodynamics has predictions which are accurate. This only means that it should reduce to my theory if one makes the appropriate assumptions.

One that should be evident from reading the about my Quantum Lagrangian Principle is that the wavefunction present in all quantum mechanics equations corresponds to the metric deformation projected onto the 3D hypersphere. Gauge invariance just means that the Quantum Lagrangian Principle should be independent upon the initial state of the Fabric of Space.

In my theory, the Universe is criss-crossed by a dilaton field with a wavelength equal to the Compton wavelength of a Hydrogen atom (Fundamental Dilator). This very fine grid is not detectable because of the Quantum Lagrangian Principle. It states that at each de Broglie step of the Lighspeed Expanding Universe all particles dilate in phase with the surrounding dilaton field, thus it produces no scattering whatsoever.

Despite of that unsatisfying conclusion, the physical hypothesis (The Quantum Lagrangian Principle) is trivial to understand and from it one can easily reach the no scattering conclusion.

I mentioned Rafael about the zero amplitude dilator and its realization by the grains of sand on a drum. A zero amplitude dilator would always move to the nodes of the drum's normal modes. If one substitute those zero amplitude dilators by unit amplitude dilators, they would all move into the normal modes' peaks. Out of phase dilators would move out of the surface (out of our 3D Universe) and never come back. Since we don't see a dilaton field emanating from these out of our Universe, one should conclude that all dilators were created in phase or where phased at the beginning of times…J

Please feel free to ask questions.

Cheers,

MP


PS- I tried to cover a lot of my theory in this blog as a brief review of the theory for newcoming DZero theorists. Details can be found in the PDF links on the blog margins.

I will later ellaborate on some requests Rafael made which he deemed necessary for my theory to be considered by the academia. One of the requests is to obtain Dirac Action for the electron.

Upon that request, I provided an Action for the dilator. I mentioned that Nabla of the dilaton field equal to zero defines the condition for the dilator and dilaton field to be in phase and thus defines the equations of motion for the dilators.

He looked puzzled for sometime. I supposed he realized that that condition is equal to the covariant matter-free Action if one replaces Nabla by a covariant derivative, square the resulting vector and integrate the result through space. Of course, that has to be the case. The Lagrangian Principle estipulates that dilator always dilate in phase with the surrounding dilaton field, thus not interfering with the dilator field. This means that whatever controls the dilaton field also controls the dynamics of the dilators. In fact, reality is slightly more complicated than that but I will leave at this at this time.

Equating the Nabla of the dilaton field to zero (or covariant derivative of the dilaton field to zero) at the de Broglie steps of the lightspeed expansion of the 3D Hyperspherical Universe actually yields an equation of motion. Time is quantized since the Lagrangian is applied only when there is interaction - specific phases of the dilator spinning.

Recently, Dudley Herschbach published a paper entitled "Simple and surprisingly accurate approach to the chemical bond obtained from Dimensional Scaling". In this paper, he calculated the bond energy of the ground and many excited states using an specific style of dimensional scaling. In his paper, the effect of using a large-D (dimesionality) for the classical H2 equations of motion is to keep the dihedral angle quantum while reducing all the other parameters into classical variables. This is what one would expect from making the electron dilators to move into the positive interference patterns (Lissajous) on a molecule with cylindrical symmetry.

Of course, these interference patterns become increasingly more complex as one considers more complex molecules. The simple solution is just to use Schrodinger equation given that I already identified the wavefunction with the dilaton field emanating from the electron dilators.