Sunday, September 28, 2008

Does God Play Dice

Does God Play Dice in a Classical Sense...:) 

Of course, He Does!!!!...:)

The question that Einstein could never answer was how can a classical system be inherently statistical.  The solution is in the Lightspeed Expanding Hyperspherical Universe.

Consider a Borh atom, or a Hydrogen atom. At each and every de Broglie step in the stepwise expansion of the Hyperspherical Universe electron will change position and velocity.  The Quantum Lagrangian Principle - the one that states that a dilator will always dilate in phase with the local dilaton field - ensure that the dilator will always surf the dilaton field projection onto the 3D Hypersphere.  If you  are near-sighted on your mind-eye and only can see the 4D Spacetime - the left panel in the figure above - then you will only see the overlap of the dilaton field with the 3D space.

The dilaton field from the nucleus is circular and can be considered to be perfectly round or equivalently. Now let's consider an electron on its trajectory falling into that nucleus.  On first approximation, its dilaton field projects onto the 3D Universe as plane waves with its corresponding de Broglie wavelength.

The interference between a flat wave and a circular wave is a circle. This means that the next step on its surfing is not well defined and only can be modeled statistically.

This simple figure is what Einstein and everyone else missed when they tried to make the transition between Classical and Quantum Mechanics or to build Quantum Mechanics from Classical Mechanics.

There is no way to avoid statistics or wave mechanics.  That is what Einstein refused to accept due to ideological, religious or aesthetic arguments.

By missing a non-compact spatial dimension, Einstein and everyone else missed the opportunity of understanding how quantum mechanics could be derived from classical mechanics.

Some entertaining rap:



Hypergeometrical Electromagnetism and Gravitation

Hypergeometrical Electromagnetism and Gravitation

In the past, I corrected the Law of Gravitation. It just happens that when creating the Hypergeometrical Universe paradigm, I had to also create the link from a purely geometric theory into standard physics which has constructs like mass, force, electrostatic permittivity etc. The first thing to do was to recover the Natural Laws discovered experimentally by Newton, Gauss, Biot-Savart, Faraday, etc.

To recover those equations I had to make approximations. Here I present the correct equations for Electromagnetism. They differ from Biot-Savart in a similar manner as my Hypergeometrial Law of Gravitation differs from Newton's Law.

We recovered the Biot-Savart law for infinitesimal elements of current. This was achieved by considering the many contributions of positive and negative center charges and using the low velocity approximation. Within a Tokamak Nuclear Fusion device, currents are both positive and negative (hot plasma) and velocities are relativistic. Under these conditions one should use the non-approximated equation derived from equation (3.41):

The force between two 1 Kg dilators is given by:

To scale this force into the force between two Coulomb charges traveling with velocities v1 and v2 one just have to multiply the equation by (1C/Nqe)2:

if you remember the correct Law of Gravitation from the Gyrogravity posting:

Where C1(m1) and C2(m2) are the charges(masses) traveling at V1 and V2 and c is the speed of light. R points from charge 2 to charge 1.

You might have noticed that all forces have basically the same equation. ..J

This is called Grand Unification...:).  It is the first time one has an equation that would work for all forces of nature - according to my theory.

Of course, there have been prior theories in which "Grand Unification" was partially achieved. Kaluza-Klein achived unification of Gravitation and Electromagnetism.  That was done in a contrived non-physical manner.  It introduced an extra column in the metric corresponding to an extra dimension. This dimension, as all the other that came after, was a compact dimension. It was necessary to create electromagnetic modes or other quantum numbers.

Now-a-days, Physics is full of compact dimensions which I deem non-physical.  Every other time a new particle is discovered a new "curled dimension" is proposed.  I don't see any frugality in the creation of dimensions..:) I see dimensional inflation... :)

I mentioned "Grand Unification" because I don't see the need for Strong and Weak Forces in the description of Nature. I, certainly don't see need for none of the many curled dimensions..:) My Hypergeometrical Universe Standard model and the concept of a Fundamental Dilator seems to to be able to explain all Hyperons and their decaying reactions.  It also provides masses to all particles without the need for a God Particle or a Bosonic Field.

I will talk more about masses when I finally managed to explain how it is calculated. Of course, the particles associated with the four phases of the fundamental dilator (proton, electron, positron and antiproton) are self-evident and don't need any explanation.

Please feel free to make velocity zero and recover Gauss' and Newton's Laws or make the appropriate approximations (for small velocity with respect to c) and recover Biot-Savart Law.

Some "scientists" which are really attached to Maxwell's equations - after all one can derive the wave equation out of it and that is neat - will say that Biot-Savart Law is a lesser law.  I disagree. Biot-Savart is a law that in the small velocity regimen describes the interaction between moving charges.  In deriving it, I realized and exposed many of the approximations associated with that Natural Law.

My equations are free of those approximations and fascinatingly have v/c in it.  The derivation did start with a Lorentz transformation..:) How come one obtain a relativitistic equation out of a simple model...:)

With respect to waves, they are just declared as existing as the result of dilaton shape shifting.  One might need to add that space is elastic.

It should be heart breaking to realize that one should set aside certain things up and just keep what is relevant to evolve..:)



Saturday, September 27, 2008

Footprints in the Forest of Matter


In Giles de Viterbo’s hands, the Forest of Matter transformed Platonic philosophy into concrete images by taking words like silva and “tracking” literally: matter, silva became the Forest, in which confused Humanity hunted down the knowledge of God. He cast the goddess Diana, the huntress, as a model for the searching human soul. In the Forest, his Diana sought out of tracks or traces, literally footprints, vestigia, of God’s divine light. 
Giles wrote:
Diana is held to be a virgin, because she is herself free from silva and matter, and yet she devotes herself to holy hunting in the Forest . . . Diana practices her hunting, that is, she participates in Mind, and spends her time exclusively in hunting and understanding. To these she devotes her efforts, with all her enthusiasm and all her spirit, to exploring and pursuing the light of her homeland.
He urged his readers, in turn, to be like Diana:
[Plato] declares that the soul is happy in heaven, rejoicing not in realities, that is, in created things, but in pure essence, which belongs to God alone. For this reason he teaches that beauty is hunted out from the Forest of Matter, pure beauty, which exists without any mixture or composition . . . But come, let us track the hidden understanding from this Forest with the help that we can find in the human soul as nets and snares.
As with the image of tracking, "footprints” were a common philosophical term already in the ancient and early Christian worlds, to which Peter Lombard’s Sentences assigned a more specific theological meaning—the Dominican described vestigia as traces of divine presence in creation that took less literal form than the “image and likeness" of himself in which God had created Adam. 
But in transforming Peter Lombard’s “Sentences” According to the Mind of Plato, Giles of Viterbo worked the same magic on the original abstract formulation of vestigia that he had worked on forests and tracking——he took the words literally and conjured them into haunting images: Sometimes, however, the footprints are so hidden that the power of human intelligence cannot reach them. 
For this reason we seek help from another source, and bring in experienced dogs so that with their help we may obtain our quarry. Now we are chasing something about God out into the open from its hiding places in Nature, something that we could never succeed in capturing with Nature alone as our guide, not unless we use the demonstrations of dialectic as our dogs and the study of philosophy as our nets. 
These dogs cannot track hidden quarry except by means of footprints, clear traces of the feet, or odors. Thus in this Forest of Matter divine footprints lie hidden, but when we take notice of them by means of reason, and consider them well, we hunt out the hiding places of the divine light. Plato asserts to this in the third book of the Laws, when he teaches that one should track down musical harmonies in the manner of experienced dogs. 
As for the footprints themselves, Giles of Viterbo described these traces in the Forest of Matter as qualities: beauty, order, number. 
His Diana was destined to rush about the Forest following the tracks of beauty and light until they added up to a specific sum. God . . . created this external and secondary world according to the divine archetype, for which reason the whole world itself is a footprint of God, and all the things contained in it should be called divine footprints . . . we must pursue the tracks by which human hunting brings back the Trinity as its prize. 
At this point, enraptured, Diana, like the human soul, would rise above the Forest to become one with the Moon, lifted far above the Forest of Matter to the realm of ldeas, which Giles as a good Christian associated with the realm of the angels: The nature of intelligent creatures is split in two, for in part it pursues the tracks of divinity, but in part, clinging to heaven's palace, it has no desire to hunt down sensible things. 
Thus nature has prepared companions for our spirits, heavenly minds, and calls one Diana in the Forest, the other the Moon in heaven . . . defined now DOI in terms of number, or species, but by kind. These kinds of minds that are called by the name of the Moon have an image that is so superior to our own that they love to ini» prove ours, and bathe the shadows of our Forests with their limpid rays. On Mount Latinos the Moon is said to have loved Endymion, kissing him at night when he was asleep, and this story is not without its point.

The point of Giles's story was a radical claim that the classical gods were nothing more or less than guardian angels: to Endymion and the Moon he added Ulysses and Minerva, Aeneas and Venus, treating the ancient heroes as if they had really existed…

This is a text from the delightful book “Giordano Bruno – Philosopher Heretic” by Ingrid D. Rowland.

This is Giles de Viterbo interpreting Platonic Philosophy in such a literal manner that it can be read as if Diana worked in the Large Hadron Collider and were investigating the tracks left by particles in a Cloud Chamber looking for angels (ideas) whose sum would add up to God - Absolute Understanding…:)

The Forest of Matter is the Forest of Hadrons, with an ever more confusing description based upon quarks, Higg’s Bosons etc. The hunting is literally the hunting for clues, footprints..

Fascinating enough, my theory provide just that, a Fundamental Dilator whose footprints in our Universe are seem as Matter and form the Forest of Matter where we live.

The Fundamental Dilator steps (de Broglie steps) as it moves as a flash of light since the beginning of times. At each step it leaves a note, a dilaton field, as if it were singing a song or saying a name…:)

In this Forest of Matter, angels are ideas and they sum up to God – The Absolute Understanding…:)

The world created by a divine archetype (The Hypergeometrical Universe) where beauty, order and numbers point the way to the divine footprints (dilators). Sometimes these footprints are so hidden that the power of human intelligence cannot reach them…:)

Again, Plato is as inspiring to me as he was to Giles de Viterbo.



Wednesday, September 24, 2008

The Pioneer Anomaly

The Pioneer Anomaly

People have been mesmerized by some extremely strange results... wait a second, I take it back...  Just a few nerds from NASA are really concerned about this.  These days, we are scared by the End of the World in the hands of CERN and the Large Hadron Collider...:) 

This minor scientific puzzle refers to an unaccounted deceleration  observed on the trajectory of the Pioneer spacecraft on their way outwards our solar system.

There is a very small, very, really very small deceleration (8.5e-10 m/s^2), unaccounted after considering its distance from the Sun, interaction with planets, solar wind etc. The deceleration is very well defined and steady and can be seen in 
the Pioneer Anomaly paper.

In the prior blog, after presenting the Hypergeometrical Law of Gravitation ...which corrects Newton and Einstein's works ... I suggested that this new equation would explain the Pioneer Anomaly...:)

Silly me...:)

Of course, I was wrong - this is a simpler problem.

The solution can be derived directly from the topology. It is our current understanding that only matter curves spacetime, this means that locally the curvature is quite well defined by the inexistence of localized matter between here and where the Pioneer spacecrafts are, thus rendering spacetime curvature equal to zero..:) that is, we believe that Pioneer spacecrafts exist in a locally flat space to a high approximation -of course, since this is an unaccounted decelerations, this statement cannot be taken absolutely.... that is the space curvature due to surrounding masses cannot explain.

Of course, if you consider our topology, it is clear that there is a curvature and that is equal to 1/R0. This is because in my theory, there is a fourth non-compact spatial dimension and our 3D Universe is curved in a lightspeed shockwave 3D Universe.

Below one can see two green circles representing two epochs (cross-sections on the 4D spatial manifold). The largest circle corresponds to our current time and B is our home on Earth. Light and matter travel at the speed of light within the expanding hypersphere. This means that light always travels along a diagonal path, oriented at 45 degrees off the perpendicular to the hypersphere. I am representing plane wavefronts reaching point B. It should be clear that different observed wavelengths will result from the observation of light from different epochs. This clearly illustrates the observed red shifting from peering into the sky and looking as far as you can. Hubble discovered this effect and proposed his famous Hubble Law. In the past, I corrected that law by explaining that it is a law applied to average velocities from the different epochs or regions of space.

Figure 1. Looking deep into the past.

Similarly, the wavelength of light depends upon what is the angle beta of observation. This is the physical reason for the red shifting.

This picture is quite telling. It shows the L0 radius of curvature of the time when the first stars lightened. At that time and at that radius of curvature, There was light…:)
 It is important to notice that light always travels at 45 degrees with the Fabric of Space – 45 degree with the tangential line at point A. This is because light is modeled as a origin modulated dilaton field traveling together with the expanding hypersphere.

At the time of the Big Bang, Beta is zero and the distance AB is Ro or the radius of the Universe.

Now lest consider the near field problem, that is, light propagation among things close, in our neighborhood… solar system, galaxy… Under those conditions, beta is equal to 45 degrees and point A is almost right radially aligned with B. The two hyperspheres look like two hyperplanes and can be represented by the figure below:

Figure 2. Pioneer Radar Gun Experiment. Looking into a few minutes in the past.

I hope nobody would be silly enough to consider that I wrote radar gun experiment on a non tongue-in-cheek manner….:)

We can rewrite Hubble Law as

L       (sorry the formula was missing L)

This also means that Hubble constant should depend upon how one calibrates it. Calibration is done using parallax or stellar candles for longer distances and the red shifts. These two calibrations are inconsistent since they look at different angles. One should use the near field calibration and then extrapolate it using the hypergeometrical argument.

Under near field conditions - relatively short distances with respect to the radius of the Universe - 

Let's analyze how one measured the Pioneer deceleration.

Figure 2 shows what is happening according to the Hypergeometrical Universe model. Pioneer flies away in our 3D Universe represented by the Green Circles which is expanding at the speed of light radially.

Our measurements are modeled as if taking place in a flat 3D Universe. The curvature (1/R0) is not taken into consideration and that is the cause for the deceleration. As the craft travels at constant speed along the green curve, it travels a longer distance than the one traveled by light (shown as two straight lines at 45 degrees on Figure 2). This means that the light or radio measurement underestimates the actual distance and that underestimation increases as time goes by due to the curvature of 3D hypersphere. The difference in velocity is due to the centripetal acceleration and it is equal to . This acceleration (deceleration) has to b scaled by the underestimation factor of .

Thus .

The observed deceleration is 8.5e-10 m/s2, the speed of light = 299792458 m / s. This yields a value for R0= 15.82 Billion Light Years.

The actual age of the Universe is 15.82 Billion Years. This is the best measurement possible for the lifetime of the Universe. It doesn't depend upon the precise view of the furthest star.

As you can see, a very small and almost irrelevant piece of knowledge contained a key to a precise measurement of the lifetime of the Universe - something one could never hope to see with our very own eyes or instruments...



PS- As expected, all pieces of the puzzle fit together and support the proposed topology and thus the Grand Unification approach. The moving shockwave creates an illusion of faster than the speed of light motion due to the light traveling within a moving framework (the hyperspherical lightspeed expanding 3D shockwave Universe). The wavefront would seem to be traveling at SQRT(2)*c from the absolute referential where we look at the Universe.


My gravitational law also has a negative component which depends upon v/c times the current gravitational acceleration. The spacecraft is likely to be traveling around 10-20 km/sec (Earth scape speed) which is around 10^8 the speed of light.  If the gravitational acceleration where the spacecraft where larger than 0.1 m/s^2 one would have to take that in consideration. Pioneer perceived deceleration is around 8.5 10^-10 m/s^2.  That is certainly not the case.

Sunday, September 21, 2008

Miguel de Unamuno

"Only he who attempts the absurd is capable of achieving the impossible"
Miguel de Unamuno

There is some truth to this. Who would guess that there is a way to derive the Laws of Nature - The Laws the govern those mysterious forces that mesmerized us since our days hiding from Sabertooth Tigers and nit picking (literally)...:)

I realized that instead of having postulates, Laws of Nature there could be a way to understand the Universe. 

It turned out that there is a model that will fit everything quite well.  I created that model. The question is if the model new conclusions can be supported by the observation of natural phenomena, namely, if my Hypergeometrical Law of Gravitation can describe what is happening in the Cosmos...:)

Hypergeometrical Law of Gravitation

This is the Hypergeometrical Law of Gravitation which tells you what happens when bodies are in motion.  Newton's Law is only strictly valid when the bodies are at rest... :)

My money, time and effort is that it will find support and explain things that are out there better than the current straw grasping approach that science has taken.

To the folks of NASA an email was sent...:) hopefully it will survive spam killer programs and the natural disbelief on a claim that someone corrected Newton and came up with a new formula for gravitation.  This is a path full of danger, risks but also of possibilities.  I am in a position where I can't force people to read or understand my theory and where I cannot publish it.. exactly because of the claims inherent to it.  It is difficult to make out of  fully-grown men or women into students while asking them to cast aside all prejudice.  There has been a tremendous investment on the current paradigms.  It will take time.

In any event, as Miguel de Unamuno used to say:
"Only he who attempts the absurd is capable of achieving the impossible"
Miguel de Unamuno

I did my part.  The theory is derived and all steps are there to be discussed, judged.  No hidden variables nor hidden assumptions nor mathemagic..>:)

If you believe that censorship by Los Alamos Arxives is not warranted, please contact its owner - Paul Ginsparg and tell him that there is a worthwhile idea that hasn't been properly evaluated.  I would be happy to add my pdf to that repository...:)



PS-  After this digression I should come back to finish the Hypergeometrical Standard Model and show how to calculate the masses and what is the topology of matter.  As you should be able to see, when projecting dynamics from a Four dimensional spatial manifold into a 3D hypersurface things become ill defined...:) - dilator 4D dynamics in a 4D space will be projected as a 3D Lissajous figure within the 3D shockwave universe.  Also missing is the manner to directly manipulate the Fabric of Space...:) 

Double-click the Bird below to find out more about censorship of this theory..>:)

Thursday, September 18, 2008

Gyrogravity and Antigravity

Gyrogravitation and AntiGravity

When I replicated Newton's Law of Gravitation using my model - which is more fundamental than the current perception of Nature - I was happy. Now that I improved upon Newton's understanding of Gravitation, I am ecstasic.

This is a very important blog..:) The new understanding was derived using the same reasoning I used to derive Biot-Savart Law. As you know, Biot-Savart Law describes the forces among charged particles in motion. I derived the same law for non-charged particles in motion or the Hypergeometrical Law of Gravitation.

It points towards the existence of Antigravity right there... in Gravity...:) where you least expected..>:)

It also points to the demise of the paradigm Einstein made popular. The one where mass just deforms spacetime...:) Now that model would have to include quite a bit of complication due to the velocity dependent spacetime deformations. I believe that would be unnecessary and obsolete due to my theory. It doesn't provide such a beautiful picture as it did just a second ago..>:)

Much has been said about antigravity and its role in the Universe expansion. Of course, there is no need for antigravitational forces for the expansion of the Universe given my proposed Hyperspherical Lightspeed Expanding Shockwave Universe.

Despite of that, there is such a thing as an antigravitational component to Gravity. Below is the derivation also shown in my papers.

3.3 GyroGravitation

Similarly one can derive the Gravitational Biot-Savart equation by simple analogy to our derivation of the Gravitation Law.

Equation 3.41 providing the displacement has to be modified for attraction between spin zero dilators and simplified:


The limit with zero velocity independent term corresponds to the steady state gravitational field (Newton's Law).

Of course, any change in the formula for gravitation to include velocity dependent terms would deem General Gravitation paradigm incorrect and unworkable. The paradigm I am addressing is the deformation of spacetime by mass distribution.

Again, the total gravitational force between two 1 kg test Mass is given by:

We obtain:

Using equation (3.25)

We obtained the correct Law of Gravitation:




From equation (3.26) it is clear that R points from position 1 to position 2, F1 is force acting upon body 1 under the influence of body 2. There is an inherent asymmetry due to the usage of a third inertial reference frame which is inertial. Any reference frame based upon either body would be non-inertial. This equation was derived under the regimen of weak (normal) gravitational pull. It would be easy to derived the same equation for conditions in the surroundings of a Black Hole. One would just not use the derivative approximations.

This means that there is AntiGravity right within the Law of Gravitation. If for a moment one sets the referential frame on body 1, thus having V1=0, the Gravitational Force on F2 becomes:


That is, the force decreases as the velocity increases, thus Gravitation produces an outwards acceleration. This is what one would expect from Antigravity.

This is a much more complex view of Gravitation and it is the only view derived from a more fundamental model. It reduces to Newton's Law at zero relative velocity.

This equation is likely to explain Pioneer anomaly, jets emanating from Black Holes since it produces an element of antigravity which depends upon the state of motion of the Black Hole or the Sun in the case of the Pioneer anomaly.

This is a much more complex view of Gravitation and it is the only view derived from a more fundamental model. It reduces to Newton's Law at zero relative velocity.

The second term in equation (3.49d) corresponds to the Antigravitational Force. It negative sign means that it is a repulsion or lessening of attraction.

Pioneer anomaly and Black Hole emanating jets are easily explainable using this equation. A non-approximated equation is easily derived following the ideas in my paper. Integration of this law within an stellar body will bring about a much more complex interaction that the one expected from Newton's Law of Gravitation.



PS-  I polished the pdf a little bit.  I tracked down two (1Kg) factors hidden in the definition of epsilon zero and mu zero (vacuum magnetic susceptibility and vacuum electric permittivity). 
Without them the formulas for epsilon zero and mu zero seem to have the incorrect units.  I also made the wavevectors to be (1x5) vectors instead of (5x1), otherwise it seems that I don't know how to make a matrix multiplication..:)  

I took the initiative to send an email to the good Nasa folks behind the Pioneer Anomaly paper.  I don't have the time nor the data to use this equation on planetary dynamics or Pioneer anomaly.

The other great news is that I was able to engage Ernest S. Gullible (not his real name) to be kind and take a view on my theory and provide some fierce critique.   Despite of this name, the man is known or should be well known for being someone with a keen eye for crappy science...:)

If he provides any critique I will be happy to post here and correct anything he might find incorrect.:)

Tuesday, September 16, 2008

Pion Glutonic States

Pion Glutonic States

In the prior posting, I presented the mathematical derivation of the Fundamental Postulate of Relativity- The one that says that the speed of light is the same in all inertial reference frames and thus it is the limiting speed in this Universe.

Some place, Einstein should be turning around in his grave...:)

That in itself would be interesting.  The other result is that I set forth new formulas from Gravitation and Electromagnetism which lacks poles... that is, they don't blow up as the distance between charges or masses goes to ZERO...:)  

At this moments, string theorists, Standard Modelers should be in their high excited states since now the can redress my simple theory with whistles and strings ...  I suspect that is unnecessary and undesirable.

These poles are the reason why Renormalization was created. Quantum Chromodynamics had to add infinities and makes that infinite collection of infinities equal to a constant...:)  Using my theory would save a lot of embarrassment and the sinking feeling that things are not quite right...:) despite of sayings to the contrary..:)

Below I turn to a lighter subject...:) The End of The World..>:)
The large Hadron Collider is warming up its engines..>:)  Ready to create powerful collisions that will surely destroy the planet...:)  Of course, NOT....

Everyday cosmic rays with immensely larger energies collide with our planet and ourselves and nothing happens.

The question is what happens when Electrons, Protons, Isotopes are placed into a collision path...:)

Let's start with the simple collision of an Electron and Positron.  Later we will see what happens when a Proton and an Antiproton collides...:)

Below is the process of creation of a pion plus and pion minus out of an electron-positron collision.

It is easy to recognize the Pions from my prior Pion assignments as well as the First Glutonic State of the Pion ground state or third glutonic state of an electron or whatever you might want to call it...:)  

The concept of Glutonic states is relevant because they differ when starting from an electron ground state by an Electron-Positron pair as if the electron has swallowed it.  Of course one can envision higher order glutonic states.  The catch is that these glutonic states increase the deformation of the local fabric of space by the period mismatch between the fundamental dilator coherence and this higher order coherence.  Stability and existence depends upon the rotation to be within certain range to be described further when the model for mass calculation is set forth.
Below is the first glutonic state of pions...:)

Of course, if you never saw these diagrams (Balls Diagram) you might be confused.  They always for a loop representing an lifetime lasting coherence (lifetime is equal to the lifetime of the particle they represent).  In the case of electrons, protons, antiproton and positrons, the coherences is the ground state coherence (coherence between two ground states in a double potential well, which spins in a five dimensional non-compact spacetime, traveling together with the lighspeed shockwave 3D hyperspherical universe).

The lettering represents spinning angles in this 4D rotation.  Red and Blue lines represent transmutation subcoherences which also represent rotations, but this time, those are rotations within the 3D shockwave hyperspherical universe.  A rotation within our hypersphere or universe changes the phase relationship between spinning and the tunneling from one state of deformation to another, thus changes which state is in phase with our Universe and produces a transmutation.

Similar states will result from a Proton-Antiproton collision.  I will show them later... As you know, I do this is my spare time and that is quite short these days...:)



Saturday, September 13, 2008

The Image in the Mirror

More than a hundred years ago, Einstein and his lady were watching a sunset in a romantic setting in Austria...:)

Einstein, despite of his nerdy looks, was an effective ladies man and was working hard to impress the pants off that unsuspecting beauty..:) (a figure of speech...:)

As usual, he tried to impress her with his tremendous intellect and brought in the big guns..:)
He asked her:

Fraulein, Would you be able to see yourself in the mirror inside a spaceship traveling at the speed of light????
That would normally mean that by the time Fraulein comes back to her senses he would be enjoying some Liefraumilch...:)
Well, I am just kidding, the setting where this question was presented is quasi-fictional but the question itself is relevant. It tells you about the nature of time and the nature of Light.
In the next few paragraphs, I will explain how Time is currently modeled and how my Grand Unification Theory replaces it as the proxy for the slowing down of dynamics with increasing speed of the spacecraft. For the first time ever..>:) a new paradigm is proposed which replaces Newton's Law of Gravitation, Gauss Law of Electrostatics and the Biot-Savart Law of Magnetism while restricting the highest speed of a body to the Speed of Light.
This might sound like a great achievement but it pales when one realizes that the proposed interaction on which this model is based, restores the concept of a linear spacetime, that is, a spacetime in which Lorentz Transformations don't play the role of a metric.  
In this spacetime, Absolute Time propagates linearly (free flowing).  Dynamics, that is, the change in the state of motion of dilators under the influence of other dilators is shown to slowed down as the dilator reaches the speed of light. Thus it is not Time that stands still, but the standing still is built in the the Laws of Physics governing the deformations of the Fabric of Space.

Under the current interpretation of light, a paradox is created. The paradox is created by the hypothesis that the velocity of light is always c, independent upon the inertial reference frame.
There are two interpretations of the process. I will start with the simple-minded one which is used by current science. In this interpretation "TIME within the spacecraft" stands STILL for any referential frame other than the one of the spacecraft.
Any external observer wouldn't see anything happening (e.g. reaction to her image in the mirror) while Fraulein would see herself without any problems and proper time within the spacecraft would flow just fine...:)
Of course, in principle, external light could hit that mirror and reach us, thus showing that light is still bouncing back and forth...:) If Fraulein had a camera and tried to take a picture of herself, in principle she should be able to create the photochemical reactions from her image reflected in that mirror...:)
Einstein and the current Science stops right here where TIME is the proxy for all the events. Einstein did not have the insight to delve deeper than the superficial mathematics. Despite of that he was able to achieve that day's objective...:)
TIME as it seems today is both a coordinate around which mass can bend spacetime, a flow that can be locally stopped by speed. In some crazy scientists mind, it can be even bend in a circle creating a Groundhog Day's...:)
Let's go into the Deep End...:)
In my theory, there is a Cosmological Time, through which we flow, in the same way we flow through the spatial counterparty R (the fourth non-compact spatial dimension which is missing from all theories).
The four-dimensional spatial manifold (RXYZ) is a linear vectorial space. The four-dimensional spacetime cross-section (PsyXYZ) is hyperbolic due to the choices we made when describing interaction among objects, particles- Newton's, Biot-Savart and Gauss Law in the current format. The need for Lorentz transforms and relativity is due to how those Laws were written and for the non-inclusion of the four spatial dimension in the development of our scientific knowledge.
I recasted the four Newton's, Gauss and Biot-Savart Laws in this five dimensional spacetime and provided purely geometrical interpretations.
Now let's go back to the Image in the Mirror. The first thing to notice is that there are different results depending upon where the illumination is coming from. Light from the spacecraft is Doppler shifted into DC (direct current- just an static electric field)...:) Well, let's step back a little and consider that the spacecraft is a tad slower than the speed of light... Under those circumstances we are left with some microwaves instead of visible light emanating from the mirror under spacecraft based illumination.
Conversely, any external light would be considered depending upon the angle of incidence, as Gamma Rays by the travelers.

Now let's consider what is happening in the ship from the point of view of someone on Earth. Well, they are illuminated by microwaves and somehow microwaves will eventually create photochemically an image on the film in Fraulein's camera...:) or in her eyes..:)

That means that the meaning of "SEEING" has to be reevaluated. How could the linear motion of a rocket change all the quantum chemistry associated with photochemistry. Of course, this is an even worse problem if one considers that motion takes place along a single axis, thus space compression occurs just along one of those axes. If you think about quantum wells, just one of the dimensions is affected... which may or may not affect their resonance frequencies...:)

This means that space compression does not provide a suitable explanation for the whole photochemistry to shift towards microwaves...:)

Due to the current Newton's Laws, there are no simple way to explain the SEEING yourself in the mirror through space compression. Again, TIME (Dilation) comes to the rescue...

A dilated time will slow down motion as seen from Earth and thus will slow down observed resonance frequencies and thus photochemistry.

You might be able to see the paradox. Currently we have to use TIME and only TIME to justify dynamical changes in a moving referential frame. The other effect of motion is space compression. 

One would expect that moving that dependence into the laws of motion while keeping an absolute time would be a feasible theoretical task.  It is feasible but not easy since nobody ever considered doing it...:) I did that!

The question is if such a change would bring about novel insights. 
It does!
In my theory, Newton's Second Law is recasted as a Stress-Strain relationships within the two cross-sections presented in each and every blog of this site.
Newton's Second Law is derived from the consideration that the stress associated with dilator interaction is the same on both cross-sections. The resulting strain is different since one cross-section represents a linear vectorial space and the other represents an hyperbolic vector space
The Natural Laws are derived on a zero Fabric of Space deformational state for simplicity. Zero Fabric of Space deformation means zero velocity with respect to the Fabric of Space. The same laws derived from a non-zero velocity with the Fabric of Space on an hyperbolic vectorial space would result in an asymptotically smaller smaller effect due to an hyperbolic cosine modulating the volume of the 3D Strain within the PsyXYZ cross-section.
Since PsiXYZ is an hyperbolic space, the resulting Strain will be different depending upon the initial level of deformation or absolute velocity. It turns out that there is an absolute reference frame in Relativity - the reference frame traveling at the speed of light. That is also the case in my theory, different reference frames measure relative tilting of their local Fabric of Space. There is an asymptotic deformational level and that is 45 degrees. The Fabric of Space cannot be tilted beyond 45 degrees. At that point, the 3D displacement volume would become infinite.
Of course, this sounds like a premise and not like a conclusion. Not unlike having the speed of light being the limit as proposed in Relativity.

It just happens that the rewriting of Newton's Four Laws provides the mathematical logic for that to be the case.

I reduced the Grand Unification problem as being the problem of dilator interaction. When they interact, dilators adjust their position (at time quantized steps due to dilator four dimensional spinning dynamics) such as to be in phase with the surrounding dilator field.
A body interacting with a single dilator can be thought as an spatially decaying oscillatory dilaton field with wavelength equal to its 4D Mass Compton wavelength. A larger body would have an smaller 4D Compton wavelength.
At each de Broglie step of the lightspeed expanding hyperspherical shockwave universe, dilators have to find their new position with respect to the Fabric of Space with which they propagate.
If they are not subject to any force and are initially at rest with respect to the Fabric of Space, they will still be at rest with respect to the Fabric of Space and just displace along a Radial line.
If interaction is taking place, at each de Broglie step, they would shift by a distance consistent with the angle of local Fabric of Space deformation (due to Stress) or strain. The maximum distance they could propagate at any step is equal to the same distance they propagate radially. Remember that in my theory dilators propagate inertially radially and non-inertially due to interactions with other dilators within the shockwave universe.
Since the dilator surfs the total dilaton field, which are basically homogeneous in wavelength (wavelength equal to the Compton wavelength of a Hydrogen atom), interference processes would provide maximum displacement if two dilaton fields interfere perpendicularly. Under those conditions, dilators would be traveling at the speed of light within the 3D shockwave universe.
Another way to see this is just by checking equation (3.9) on my paper and following the simple derivation of the Postulate of Lightspeed as the Limiting Speed in this Universe:
The dilaton for a single particle can be represented by:

  • || means absolute value

  • P (absolute value of the phase volume) is 3.5 for a particle with spin half and 3 for neutral matter. The meaning of P is that for one de Broglie wavelength traversed path by the hyperspherical universe, a propagating spacetime wave spread along by a factor of P2π (7 π for charged particles and 6 π for neutral-zero spin matter).

Similarly, for a 1 Kg body located at position:
where the effect of the 1 kg mass is implicit in the k2-vector and expressed by the factor N. The wave intensity scales up with the number of particles (N). One kilogram of mass has 1000 moles of 1 a.m.u. "zero-spin neutrons", or |k2| = 1000.Avogadro. |k1|=N. |k1|, where
M=1 for neutral matter-matter, matter-antimatter or antimatter-antimatter interactions or opposite charge interactions
M=-1 for same charge interactions
To calculate the effect of gravitational/electrostatic attraction, one needs to calculate the displacement on the crest of each particle or body wave due to interaction with the dilatons generated by the other body.
This is done for the lighter particle, by calculating the derivative of the waveform and considering the extremely fast varying gravitational wave from the macroscopic body always equal to one, since the maxima of these oscillations are too close to each other and can be considered a continuum.
The total waveform is given by:
The term contains the treatment for retarded potentials, but for simplicity we will neglect differences in dimensional time between and .
Why is the lightspeed c the limiting speed in this Universe?

The reason can be seem from equation (3.9)
Taking the derivative and equating it to zero, yields:
where I considered the condition of saturation of space deformation for the larger body source of dilaton field.
As interaction increases, r shifting asymptotically reaches some , that is, is achieved at saturation.
This means that the limiting angle of acceleration is 45 degrees or the speed of light. This also means that as that angle increases towards the asymptotic maximum, the change due to interaction diminishes. This means that dynamics slows down. Not due to some logical construct (TIME), but due to natural changes described by the interaction equation. Time flows just fine...:) The change due to interaction diminishes thus resulting in a slowed down dynamics.
This is the only theory that was able to present a physical model from which one could derive the postulate of having the speed of light as the limiting speed in this Universe!!!!!!!!
This has been explained before in the posting As Time Goes By...:)
Notice that there was no use of any postulate as in the Theory of Relativity. This speed limit is the direct result of the choice of interaction and the proposed topology.
This is the only known (to me...:)) theory in which the speed of light is derived to be a limit, as opposed to be postulated to be a limit...:)
Feel free to ask any questions...:)


ps- Pictures from the latest Illuminati meeting. As you can see, now Dr.Hawking and I are friendly again...:)

By the way, the Illuminati ambigram shown above is from that great book from Dan Brown (Angels and Demons). Quite an exciting reading, even more after I visited the Castello de Santo Angelo...:)
There are still a few things I still want to explain to you:
  • How to calculate the masses of everything?
  • Gyrogravity - The effect of rotation on the gravitational field of a celestial body..:)  
  • How to control gravity
  • How to make antimatter..>:)
  • How to create a Fabric of Space particle accelerator...:)
It will take some time for me to be able to blog everything, but it will be worthwhile.
PS- We were not really in a Illuminati Meeting nor were we together... but I thought it was a funny picture...:)  By the way, Steven now that you believe in Godel arguments and concluded that you cannot ever conclude anything... even number theory is not self-consistent...  Just pass me your wallet...:) without Number theory you would never know how much money you have anyway...:)
I believe we can know many things and that might be enough to get by...:)