Balls Diagram Review

The Balls Diagram

This is a review of the Balls Diagram, which will be valuable in understanding the rest of the Hyperons....:)


As you know, didactics requires some memorable associations and I thougtht about this one while listenig to Chris Matthews' Hardball. Valentine's Day was also in my mind...:)

So let's learn some physics up, Fellas.:)

The Balls Diagram has been shown for the initial particles of the Hyperon Family and even though they should be self-evident, I thought that it would be worthwhile to spend a blog on it...:)

Let's take the Coherence Diagram for the Pion Minus for simplicity and its corresponding Balls Diagram.

Pion Minus

Below is the amazing Pion Minus chord which is composed of four chords or 16 notes.

As you should know by now, the Coherence Diagram showcases a bunch of sequential transitions among different 4D stationary deformational states. As you can see I recasted the states in terms 2/3 and 1/3 and their negative values. The meaning of these states depends not only upon their displacement axis lenght amplitude but also in the phase of coherence. This means that event though the lowest state of the left well (0,-2/3,-1/3) is being associated with the electron state (3D projection of the 4D displacement volume proportional to the 3D mass of an electron), it can also represent a positron (0,2/3,1/3).

Notice that the Zero is in bold, meaning that the axis perpendicular to the Radial Direction R and the axis X is being defined as the axis of spinning. It was choosen like that to provide the smallest 4D volume of Rotation on the Neutron Decay equation. The reasoning is slightly convoluted, but that is how complex assignments are made.

Neutron -> Proton + Electron + Anti-Neutrino
(2/3,-1/3,-1/3) -> (2/3, 1/3,0) + (0,-2/3,-1/3)
-> (2/3, 2/3,-1/3) + (0,-2/3,-1/3) + (0,-1/3,1/3)

We presented the Electron with the smallest 4D volume which would imply that the axis of revolution will be perpendicular to the smallest axis (x-axis has zero displacement axis length). Notice that the electron-proton dilator is the fundamental coherence, thus any spinning will have to keep its axis or spinning. The final assignment with respect to which spinning axis one should use is still under discussion in my mind.

An alternative assignment is:
Neutron -> Proton + Electron + Anti-Neutrino
(2/3,-1/3,-1/3) -> (2/3, 1/3,0) + (0,-2/3,-1/3)
-> (2/3, 2/3,-1/3) + (0,-2/3,-1/3) + (0,-1/3,1/3)

This assignment uses the smallest axis of the Proton instead. In fact, this seems to be a better assigment since is also makes the lowest volume for the Neutron. Although the electon would be spinning around a larger axis, the volume associated with the other two axes is zero or thereabouts. This is easy to see if you forget the 4D ellipsoid of revolution for a second and think about the particle as a parallellepiped with three axis. In the case of the electron one of them has zero lenght, thus the area associated with it would be zero, thus spinning it wouldn't give you that much volume.

This is a better assignment after all, thus disregard some bolding in the wrong axis until I correct this mistake... As you know, one has to have Balls to accepts one's mistakes...:)
Courage will also suffice....:)

Notice that the double potential well is more complex than I let you know. The choice of which axis you are spinning breaks down the spinning degeneracy of the problem further. I will overlook this now, otherwise I am sure you will blow a gasket...:)

Notice that an alternative view of the Neutron Coherence or transition state is a dilator quadrupole.

This is consistent with all the other also having the smallest 4D Rotational Volume and thus 3D masses. That is why I wrote the equation as such. Different axis of rotation would result in a different mass and be recognized as a different particle, made up by a set of different quarks by our creative scientists...:)

Now that we understand a little more about the Coherence Diagram, one can ask questions about why the two Electron states are not degenerate. They differ just by a spatial rotation (y into z and z into y)...:) The reason is simple even though state is isotropic or quasi-isotropic, there is a difference in pointing a 4D spatial deformation in one direction or another. To change the direction of deformation one has to do work, dynamically. That dynamic effort (as opposed to adiabatic work) is responsible for the dynamical symmetry breakdown. It is not a energy difference that makes this states different, it is the fact that the dilator has to physically redirect itself and that takes time. So the states (0,-2/3,-1/3) don't differ in energy (4D volume) but they are distinct.

The same is valid for the muon and tau neutrinos associated with the proton side. I did not refer to them yet since I did not mention any decaying particle that emits muon and tau neutrinos. I will do so later.

This dynamic state change takes time and that is happening while the dilator is rotating (spinning) on the 4D space.

This complex coherence or chord can also be shown as a Balls Diagram:

Let analyse events Ball by Ball or note by note, if you so wish...:) Let's start with the electron chord. Starting from the top as a musician would say..>:)

The Pion chord is composed of two electron chords, one positron chord, one eletron-positron transmutation note, one positron-electron transmutation note, one eletron-proton transmutation note and finally a proton-electron transmutation note.

If you look close enough at the Coherence Diagram, you will be able to see which states are involved with each of these transmutation notes.

Let's start with the Electron-Positron transmutation note. This note corresponds to two arrows in our coherence diagram. The first arrow starts at the (0,-2/3,-1/3) and ends on (0,-1/3,-2/3). The second arrow starts at (0,-1/3,-2/3) and ends back on (0,-2/3,-1/3). This transition has the physical meaning of a spatial rotation in 3D and has angular momentum associate with it.

The time it takes to make this 3D spatial rotation is such that the tunneling goes from contraction to expansion, that is, the displacement volume goes from (0,-2/3,-1/3) to (0,2/3,1/3), or the state goes from electron to positron and it is also the time or thereabouts it takes to do a 180 degrees spinning 4D rotation. This has to be the case otherwise one wouldn't see that positive charge component of the chord. The meaning of thereabouts is because the 180 degrees 4D spinning cycle is not the same as the 180 degrees 3D rotational cycle. This causes the positron to be crocked...:) As you know, this is a local deformation of the fabric of space and corresponds to a virtual velocity. These virtual velocities are the spring that stores the nuclear energy. It is not necessary fields, gluons and any other sticky crap...:)

One should eventually define the exact shape of this potential well and the "Schrodinger" equation for the dilator. I will do that in the appropriate time and this is quite a simple task within this logical framework.

Now let's set our sights back onto the Balls Diagram. The first four balls are the four notes of the electron chord. The blue line between the last electron ball and the first positron ball is blue for a reason....:) It is blue because it corresponds to a transmutation note and it is equal to the positron-electron transmutation note. Symmetry tells me that they are identical, that is, it takes the same time to make each 90 degrees spatial rotation.

I should mention that upside particles are normal particles while upside down are anti-particles (dilators with a 180 degrees dephase). This means that one electron contracts 4D space while a positron expands 4D space.

There is an important feature that people might be missing. Sidewise particles are not seen on the 3D Universe. These states have little aberration (height) along the radial direction, so when they spin sidewise, they have no interaction with the 3D Universe.

Of course, eventually the energy stored in those motions survive in the form of flying products. The energy is stored in the Fabric of Space twisting, the transmutation chords (an electron-positron plus a positron-electron transmutation notes together make up a neutrino chord).

The electron-proton plus proton-electron-proton notes unravel together with the extra positron-electron pair such as to deform space enough to propel the remaining particle at their emission speeds.

That is the meaning of the Balls Diagram and a more detailed explanation on the nature of matter.

If you want to understand someting deeper, read my old blog on the Meaning of Material Existence.

Feynman created his Feynman diagrams, Einstein left us with Einstein's equations, Newton left Newton's Laws... I am starting to worry about my legacy...:)

Good forbid it from being my .... :)

Cheers,

MP

Brief Review on How We Know What We Think We Know

Comments #3 Brief Review of How We Know What We Think We Know

I said...

How do we know what we think we know?
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Without the benefit of seeing the skinny fourth spatial dimension, we couldn't really measure those 4D volumes and very small angles, so we concocted the concept of Mass (the 3D projection of a 4D Volume).

If you don't know that you are traveling radially at the speed of light, your 3D observations and body of knowledge will have to be adjusted to consider lightspeed to be the limiting speed on the 3D sliver of Universe you live. That entails stretching proper time, contracting space, etc.

I don't know who else did it, but I certainly did notice that Lorentz transformations is equivalent to a rotation by an imaginary angle and that time is imaginary in Physics.

The point is that by discovering Lorentz transformations we postponed another 100 years the discovery that we are all in motion at the speed of light. Were I am certainly being optmistic in believing people will eventually discover my work..:)

I appologize for being loud and sometimes outrageous or at least defiant in my corner of the internet... It is very, very quiet here and sometimes one has to scream to check to see if anyone is listening...:)

Next, I've just copied a prior blog - sanitized from some of my sense of isolation - in preparation for better blogs about the Hyperons... The Hyperon work was done last year end, during my vacation....I was pleasantly distracted and had only some of my attention on the problem.... so they might be perfect or not... I didn't reconsider the assignment problem to check for mistakes... I welcome any suggestions, corrections..

In my paper, I expressed Newton's equation as:

This is already a geometrization of Newton's equation but it is still impure, since it contains spurious concepts like Mass. The concept of Force as being any interaction that twists alpha (twists the Fabric of Space) is already present!!!!!!

To achieve the appropriate paradigm just divide both sides by the mass and you will have acceleration.


Similarly one has an acceleration for the left panel:
First think about what an equation is. If you place two identical objects separated by an equal sign (e.g. 2=2) you end up with an equation but it contains no information. It is a simple tautology.

For an equation to be non-trivial it has to relate two different paradigms (e.g. 1+1=2). This contains information about the addition of integers, or unitary segments, or unidimensional vectors) etc...

Newton's equation does just that, it maps a vector Force (which lives in a different space from Mass and Acceleration) and maps their products in a Natural Law. Mass is a scaling factor (extensive property) in the same way that a Strain is scaled by the area where that strain occurred to give the causing Stress.

In the Hypergeometrical Universe, the Force (Stress) is the same on both panels. This paradigm can be easily modified if we realize that Force (Stress) causes the rate of deformation of the local Fabric of Space, being the Mass an scaling factor. Under this paradigm, instead of acceleration we have Strain which eventually should be scaled up by the appropriate "area" to yield the total Stress.

The equation below showcase this paradigm: This is Newton's equation in a purely geometrical perspective. There is still a generalized force (stress) which is alright, since the stress is explained by the Quantum Lagrangian Principle governing the position of dilators to follow the constructive interference of dilaton fields.
I will write the equation 4D Stress as:
with strain given by:
notice that the proper time is dimensionalized by its scaling with c (lightspeed). As you can see, Mo is the projection of an unitary 4D area (or 4D Displacement Volume). If you call 3D Stress as F you would have recover formally Newton's Second Law. F and M are just Words nothing else.

In my paper, I used the Stress4D to calculate both Gravitation and Electromagnetism. Where you see Area4D= One, I read Area4D= One Atomic Mass Unit (a Hydrogen atom for Gravitation or the Fat Electron for electromagnetism).

If you remember that all maximae displacement volumes of the fundamental dilator are performed in phase with the dilaton field, it becomes clear that the displacement at the Proton phase adds in phase with the displacement at the Electron phase, thus the dilator has a Area4D equal to an Hydrogen Atom (a spin zero Hydrogen Atom).

This might make your Brain spins but take my word for it, or better don't take my word for it and check the logic for inconsistencies. A clean mind is a sign of mental disease...:)

There is a reason for Newton's madness. He lived in a World of charges, masses, forces. Specially charges are evil...:) One cannot write from Gauss Electrostatics equation a simple equation for acceleration that doesn't depend upon the probe charge. This is solved by the Fat Electron paradigm working together with the Quantum Lagrangian Principle. With those simple concepts, I created the equivalent 4D-Mass or Area4D of an electron or proton to be one a.m.u. which was used within the left panel to calculate force. Thus the 4D Mass of an electron is the same as the 4D mass of a proton: one a.m.u.

Refinements are associated with the rotational motion and were considered in the paper (gyromagnetic ratio comes out of that refinement).

Well, that is that. Newton's Second Law, a Natural Law has a different interpretation in the Hypergeometrical Universe.


Cheers,

MP

Comment #2 on the Silver Surfer

Comments #2 on The Silver Surfer and The Hypergeometrical Universe

Anonymous said...

Ok, I see it. I guess it explains the lateral motion. But what about the radial? If one was to take a "surfer" analogy literally, one would have to assume a presence of a force perpendicular to the plain of "surfing". I.e. the only reason a real surfer can move forward is because of a gravity pulling him perpendicular to the surface of water, water resisting it, and a moving wave. So, if we live on the edge of a 4D shockwave, then there should be some force pulling us in the fifth dimension, shouldn't there?

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First of ALL, let me thank you for asking me such meaningful and thoughtful questions.

This is a wonderful question, Anonymous...

I prayed everyday for such an event, and finally got my prayers answered ...:) He sent me a real Surfer (I mean, a Real Physicist...:)

First, let me remind you that the force on a Surfer is also trying to reach equilibrium or relaxation and that althought there is a Force and there is motion, if one disregards friction between the surfboard and the water and changes in height, there isn't work been done. The Force is just a boundary force or virtual force not unlike the force the ground exerts on us. The same is valid for the hypersuperficial force :).

First I will give you the short answer :

Radial (and lateral) propagation is driven by restoring metric forces (I calculated the 4D space deformation spring constant in my Grand Unification Paper). One can surf a transversal sea wave (where Gravity is the restoring force) or a shock wave (longitudinal wave) from a Supernova explosion (pressure being the restoring force). There are dissipation, acceleration and masses in these analogies, but in my theory there are only dilatons (traveling metric modulations) and dilators (coherences between 4D stationary deformational states). NO accelerations or masses.

This means that we don't necessarily live on the edge of a wave as opposed to being one with the wave. This means that dilators also propagate as any solitonic wave, carrying angular and linear momentum with itself. The breakdown of a Zero Angular and Linear Momentum (at the Beginning of Times) into a very large number of dilators with nonzero Linear and Angular moments is not much different from the problem of searching for your Soulmate...:) or other half... Fortunatelly our other half would be in the other side of the 4D Hypersphere...:) (due to linear momentum)...

I created the Silver Surfer analogy to make it easy for people to understand how motion and tilting of local space are related...It is a usefull paradigm to exemplify my correction to Newton's First Law.

What makes the 3D Hyperspherical Universe and its contents (dilators) to propagate radially is the 4D metric restoring force. There it is, you have what you were looking for... a force after all..>:) But there is no mass to go along with that force... just volumes (displacemente volumes) and no accelerations - just a constant propagation velocity (c)...>:)

Now the long answer.

Let me give you a map of my reply - today I have the Flu and my long answer will be short

As a guide for you to understand better the theory here are the key words:

a) Hypergeometrical Universe Newton's Second Law
b) Quantum Lagrangian Principle and the Wisdom on a Grain of Sand
c) Mention the Hypergeometrical Standard Universe

In the paper about the Hypergeometrical Universe Grand Unification, I used my version of Newton's Second Law to recover all the Forces of Nature (which is just one). At that time, I didn't mentioned the energy from space deformation because I wasn't ready to explain the Hypergeometrical Universe Standard Model.

The Quantum Lagrangian Principle goes hand in hand with the Pseudo Quantization of Time.

The standard model replaces the Quark representation of matter with a Dimensional Chord Representation of Matter. There are several levels of complexity and I have been delving little by little into higher and higher complexities.

If I get better, tomorrow I will post the Twisted Delta Triplets (Delta Hyperon Particles having the same decay channels and different levels of Twist - spin..:)

It is fun.. I hope you will enjoy.

Cheers,

MP

Comments #1 on The Silver Surfer

Comments on The Silver Surfer and The Hypergeometrical Universe

Anonymous said...

Say, there are two observers A and B separated by distance X. The observer A starts motion in direction of B with such an impulse, that by the time he reaches B, his velocity will match the Hubble velocity. What will the observer B see? Will the A continue his motion? Will he slow down and stop?

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To answer this question the first thing to notice is that one can see A and B on both cross-sections shown above. We will use just the left panel RXYZ cross-section to answer this question.

Let's first check the initial condition where the Fabric of Space is relaxed on both A and B positions, reminding that the Fabric of Space is the wave we ride - where the 3D space and all dilators (matter) are located.

At first sight you might think that the objects on positions A and B are at rest with respect to one another. This would be the case if the 3D Hypersurface were not expanding at the speed of light. In reality they are traveling away from each other at their Hubble velocity. Be their distance X, then they are running away from each other by X/R*c

This can be easily derived if one considers that the radial expansion takes place at the speed of light and the geometry of the figure.

That is why one can only see thing up to one radian in each direction.

The first thing to notice is that it is not clear how to measure the local deformation of the Fabric of Space. This topology (hyperspherical expanding 3D Universe) is connected to the 4D Big Bang proposed in the Cosmogenesis paper.

Under that assumption (Big Bang = 4D explosion), the average velocity on any region of the 3D space is the Hubble velocity, that is, farther regions contains celestial objects that on average run away from us at the Hubble speed. What one can distinguish from one region to another is the width of that distribution. When most of the interactions had taken place a long time ago, the distribution will be sharper. A sharper distribution of receding velocites means that the objects are close to their Fabric of Space relaxed positions.

The comment requires that object A, under the action of an impulse, to reach its Hubble velocity at position B. Velocity is a tilt in the local Fabric of Space and that tilt should make the local normal to be parallel to the Fabric of Space normal at position B. The diagram that would reflect that condition would be the following:

For the distance between the objects to diminish, the tilt (velocity) has to be larger than the Hubble tilt (velocity) between the two objects, thus the proposed experiment doesn't make sense and that is the reason for the paradox.

For sake of simplicity, I made B to be at rest with respect to the Fabric of Space, otherwise both objects would be moving to their resting positions. Notice that this is exactly what the reader asked. This is the relative resting condition, object A has the same inclination (velocity) as it would have at position B (Hubble Velocity). This is the condition for spatial resting that is, one is at rest with respect to the other object.

Other initial conditions or kinematics can be easily inspected by realizing that any local tilt of the Fabric of Space will travel until it relaxes, which is the reason for motion or the Hypergeometrical Universe Newton's Second Law.

If the impulse is such that their paths crosses, their trajectory would be represented by the next diagram:

Object A will pass by object B and will asymptotically reach the positions depicted by A' and B' when the Radius of the Universe reaches infinity or earlier if there were any dissipative process.

There both regions of the Fabric of Space will be relaxed and the objects will run away from each other at their Hubble speed. Notice that their relative speed is always their Hubble speed. The only difference is the unobservable relaxation state of the Fabric of Space.

Up to now the Q (quality factor) of the Fabric of Space has been considered to be infinite.

Cheers,

MP

Encounters of the 4th Kind....:)

Encounters of the 4th Kind....:)

I might have a less than perfect personality, some weakness for chocolate, popovers (Popover Cafe in 87th Street and Amsterdam)...:) but one thing I can never be called: not persistent ...:)

Below is another attempt to an encounter of the 4th Kind and the opening of a communication channel with intelligent people.

Dear Professor Hawking,

I know how to read and read your request for not submitting ideas or crazy theories…

I also know that scientist are extremely impervious to someone’s else ideas.

I also read once that if a “scientist” reads an idea that makes sense its truthfulness will become evident immediately…J

My theory is quite simple, but extensive (it is an extensive argument which includes a new standard model in addition to a Cosmology, Grand Unification and Cosmogenesis). To make life easier, I normally focus my argument only on the Grand Unification and Standard Model.

The theory proposes the 3D Universe as being a lightspeed traveling shock-wave
expanding radially (at the speed of light). Our 3D motions are the just lateral motions and are induced by interaction between dilators. The fourth dimension is not compact. The 3D hypershell is thin, thus no aberration is observed.

Dilators are modeled as coherences between stationary 4D deformational states (on a rotational 4D double potential well). Spin is not an intrinsic degree of freedom, and it is instead considered to be the rotational perpendicular to R (the radial direction) and X(Y or Z).

Electron and Proton are modeled as two phases of this fundamental coherence and they are called the Fundamental Dilator. Neutrons, Hyperons are more complex chords of dimensional notes.

I hope your curiosity would be peaked enough to lead you into inspecting my work.

The work is presented in this blog

http://hypergeometricaluniverse.blogspot.com/

The Grand Unification paper was published in this book:
http://www.amazon.com/Quantization-Astrophysics-Brownian-Motion-Supersymmetry/dp/819021909X/ref=sr_1_1/002-0388091-0808040?ie=UTF8&s=books&qid=1174235841&sr=8-1

The pdf for Grand Unification is below
http://www.geocities.com/ny2292000/1.pdf

Any feedback, channel of communication or questions would be greatly appreciated.

Thanks,

MP

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