Prequark Chromodynamics

Copyright © 1992 by Dr. Tienzen (Jeh-Tween) Gong

In Prequark Chromodynamics, quarks are composed of prequarks [Angultron (carries 1/3 electric charge) and Vacutron (vacuum)]. This Prequark Chromodynamics provides three very important results.

  1. Many well-known processes (such as moun decay or neutron decay) can be understood in a much better way.
  2. Why does proton have an incredible longer lifetime than the age of the universe?
  3. Both proton and neutron are, in fact, universal Turing computers. That is, they can give rise to biological life.

I: Prequark representations

In Quantum Chromodynamics, the fundamental elementary particles are descirbed with the graph below.

There are also three quark colors. In Prequark theory, these three colors can be represented as three seats. For each seat, it can be either empty (Vacutron) or occupied (Angultron). Thus, only four different kinds of particles can be formed:

  1. A particle with all seats occupied by Angultrons carries one unit of electric charge, and it is named positron.
  2. A particle with two seats occupied by Angultrons carries 2/3 units of electric charge, and it is named UP quark.
  3. A particle with one seat occupied by an anti-Angultron carries -1/3 units of electric charge, and it is named Down quark.
  4. A particle with no seat occupied by Angultron carries zero units of electric charge, and it is named neutrino.

Furthermore, for a given quark, there are three ways to arrange the seating, and each way is distinguishable from others. Physicists have chosen three color labels to identify these differences. So, two quarks (Up and Down) evolve into six distinguishable quarks. The entire present universe is constructed with these eight elementary particles (six quarks and two leptons).
Again, in Quantum Chromodynamics, there are three generations of quarks. These three generations are identified with three numbers, 1, 2 and 3. The prequark representations for those elementary particles are listed in table I and table II.

Table I: Prequark Representation for Leptons
Generation Particle name Prequark Representation Colors Electric Charge
1st Electron -(A, A, A1) colorless one (1)
1st Neutrino (V, V, V1) colorless 0
2nd Muon -(A, A, A2) colorless one (1)
2nd Muon neutrino (V, V, V2) colorless 0
3rd Tau -(A, A, A3) colorless one (1)
3rd Tau neutrino (V, V, V3) colorless 0

Table II: Prequark Representation for Quarks
Generation Particle name Red Yellow Blue Electric Charge
1st Up quark (V, A, A1) (A, V, A1) (A, A, V1) 2/3
1st Down quark -(A, V, V1) -(V, A, V1) -(V, V, A1) -1/3
2nd Charm quark (V. A. A2) (A, V, A2) (A, A, V2) 2/3
2nd Strange quark -(A, V, V2) -(V, A, V2) -(V, V, A2) -1/3
3rd Top quark (V, A, A3) (A, V, A3) (A, A, V3) 2/3
3rd Bottom quark -(A, V, V3) -(V, A, V3) -(V, V, A3) -1/3

Three notions shall be mentioned here.
First, the quark color corresponds to a special seating arrangement. I have chosen the first seat to be red, yellow for the second seat, blue for the third. The quark color is identified by the seat's color which is occupied by a minority prequark. For example, V is the minority prequark in (V, A, A1), and it sits on the red seat; so (V, A, A1) has a red color. (V, A, V1) is yellow because the minority prequark A sits on the yellow seat. The prequarks (A or V) themselves are colorless.
Second, quark colors obey the complementary rules: a) R + Y + B = White (colorless), b) R + Y = anti-B, etc.
Third, the generation of a quark or a lepton is represented by a number, 1, 2 or 3. For convenience, the generation numbers are attached on the third seat. The prequarks and seats have no generation.

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II: Examples of Prequark Chromodynamics

a: Neutron Beta Decay
We all know that neutron is very stable while it is inside of a nucleus. When neutron comes out of a nucleus and becomes a free neutron, it decays into one electron, one proton and one electron anti-neutrino.
n = e + p + v(e) bar

Now, we will discuss this neutron decay process in terms of the Standard Model first.

Note: This Standard Model was download from the web site in 1998.

In Prequark Chromodynamics, there are three important principles:

  1. All elementary particles (quarks, leptons and prequarks) cannot be viewed as an isolated entity. It is a part of space-time the same as the glider is a part of the Go board. That is, particles will have interaction with space-time.
  2. Vacuum can, indeed, turns into particles, but they must come in pairs, the particle and antiparticle pair to be exact.
  3. Although a u-quark can turn into a d-quark in the Standard Model via weak current, in this prequark theory, a (u - u bar) quark pair turn into a (d - d bar) pair, and vice versa.

The diagram below consists four detailed steps for neutron [ u (blue), d (-red), d(-yellow)] decay.

The above diagram not only verifies the old theory that neutron decays into a proton, an electron, and an electron anti-neutrino, but it gives much more detailed information of how exactly this process works than Standard Model does.
  1. Prequark model shows the detailed quark color interaction and quark color conservation while the Standard Model does not address this issue explicitly.
  2. Prequark model shows the detailed quark and space-time interaction while the Standard Model used a d-quark to u-quark transformation concept which is acceptable on phenomenology but undesirable on theoretical ground.
  3. Prequark Model shows the detailed internal structure of (W-) particle, including its internal color interaction and its decaying process while the Standard Model does not provide any of these.

Yet, the Prequark Model is much simpler than the Standard Model. In short, this diagram of Prequark Model of neutron decay verifies the validity of the Prequark Chromodynamics. The decay rate of this neutron decay can be calculated with Equation Three.

b: Muon decay

The generations are also colors (genecolors). They obey the color complementary rules, such as 2 is the complement of (1,3) and 3 the complement of (1,2). In the 1st order, genecolor 2 can be represented as (1,3); in the 2nd order it can be represented as (1, (1, 2)). Table III shows the genecolors representation in terms of complementary rules.

Table III: Complementary representation for genecolors
Genecolor 1st order 2nd order 2nd order (simplified)
1 (2, 3) (2, (1, 2)) (2, 1, 2)
2 (1, 3) (1, (1, 2)) (1, 1, 2)
3 (1, 2) (1, (1, 3)) (1, 1, 3)

In fact, the muon decay is caused entirely by this genecolor dynamics. Muon will decay into electron, electron neutrino and muon neutrino. That is, muon -(A, A, A2) becomes electron -(A, A, A1), electron anti-neutrino -(V, V, V1) and muon neutrino (V, V, V2). Obviously, the total Angultrons are conserved. The seemingly nonconservation of Vacutrons are also conserved because Vacutron is just a vacuum (nothingness). The most important event in this reaction is the transformation of genecolor 2 to (1, 1, 2) according to the genecolor complementary rules. Again, the Prequark Model is a better and a simpler model than the Standard Model.

III: Proton's stability and its decay mode

The greatest shortcoming of SU(5) (Grand Unified Theory) is the failure of its proton decay prediction. After 20 years observation, no single proton decay case was recorded. The low limit for the proton lifetime is now set at about 10^33 years, which is incredibly longer than the age of the universe.

It is good news that proton don't decay. Otherwise, lives would have difficulty remaining alive. But, why won't proton decay under the current condition? SU(5) (Grand Unified Theory) does not have an answer but the Prequark Model does.

Only by knowing the difference between an internal decaying process (such as the proton decay) from a spacetime vacuum energy induced decaying process (such as the neutron decay), the issue of proton's stability can be understood. One of our collaborator Dr. F. A. Gareev (of JINR, Russia) also provides an explanation.

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IV: Experimental evidence

Predictions from the Prequark Model:

  1. Electron can split into fractional electric charge.
  2. Each electron must be aligned by three magnetic flux quanta while it is in a magnetic field.
  3. With the Prequark Superstring Model, the electron fine structure constant (alpha) can be calucated with the following equation.
    Alpha = 1/Beta
    Beta = (1+ first order mixing + sum of the higher order mixing)
    First order mixing = [1/Cos(A)]; the mixing angle A = 28.743 degree
    Sum of the higher order mixing = 2 (1/48)[(1/64) + (1/2)(1/64)^2 + ... + (1/n)(1/64)^n +...]
    Beta = 64 (1 + 1/Cos(A) + .0006561) = 137.0359
    Note: The measured Beta value is Beta = 137.0359895
  4. In Standard Model, the weak mixing angle is a free parameter. In Prequark Superstring Model, the weak mixing angle is a direct consequence of the theory and can be calculated

In 1980, Klaus von Klitzing discovered quantum Hall effect. The Hall resistance varies stepwise with changes in magnetic field B. Step height is given by a physical constant divided by an integer i. The figure below shows steps for i = 2, 3, 4, 5, 6, 8 and 10. This is termed the integer quantum Hall effect. Klitzing was awarded Nobel Prize in Physics in 1985.

In 1982, Horst Stormer and Daniel Tsui discovered the fractional quantum Hall effect. In the figure below, the dashed diagonal line represents the classical Hall resistance and the full drawn diagonal stepped curve the experimental results. The magnetic fields causing the steps are marked with arrows. Note particularly the step first discovered by Stormer and Tsui (1/3) at the highest value of the magnetic field and the steps earlier discovered by von Klitzing (integers) with a weaker magnetic field. Stormer and Tsui subsequently found more and more new steps, both above and between the integers. All the new step heights can be expressed with the same constant as earlier but now divided by different fractions.

A year after the discovery of the fractional quantum Hall effect, Laughlin offered a theoretical explanation. According to his theory the low temperature and the powerful magnetic field compel each electron to capture three magnetic flux quanta and force the electron gas to condense to form a new type of quantum fluid. This new quantum fluid has many unusual properties. One of the most remarkable is that if one electron is added the fluid will be affected (excited) and a number of fractionally charged "quasiparticles" created. These quasiparticles (consist of composite particles) are not particles in the normal sense but a result of the common dance of electrons in the quantum fluid. Laughlin's quantum fluid has proved capable of explaining all the steps found experimentally. They three (Stormer, Tsui and Laughlin) were awarded Nobel Prize in Physics in 1998.

In Prequark Model, electron is a composite of three Angultrons which form a looped superstring. At fractional quantum Hall effect condition, those looped superstrings can split and rejoin with other electrons to form a composite particle just the same as the quasiparticle in the Laughlin's quantum fluid.

In Prequark Model, electron superstring can be splitted in a two-dimensional plane in following ways.

Thus, 5/3 could be a composite of three electron strings, such as: [(2, 0), (3, 0), (0, 3)] or [(2, 0), (2, 1), (1, 2)] ..., and 4/9 could be a composite of five electron strings, such as: [(1, 2), (2, 0), (1,2), (0, 2), (0, 3)]... In fact, all Stormer and Tsui fractions can be constructed with the above electron strings or fractional strings.
That is, not only can Prequark Model provide a simpler explanation for fractional quantum Hall effect (FQHE), but the fractional quantum Hall effect is one of the most important experimental evidence for Prequark Model. Recently, several research groups have succeeded in observing these new composited electrons (with fractional electric charge) directly.

The picture below was on the cover of Science magazine (June 22, 1990 issue). It is a computer graphics visualizing the Laughlin wave function for the nu = 1/3 FQHE state. The green balls represent electrons that are pinned momentarily in the two-dimensional plane by three magnetic flux quanta which appear as black arrows. The blue mountain represents the charge distribution of one free composited electron quasiparticle moving in the presence of the magnetic field and the potential of the other (green) electrons.

V: Prequark Superstring Model gives rise to biological life

All lives need a bio-computer (a universal Turing computer) to process information. John Conway and others proved that the glider of Game of Life could be the base for building a Turing computer. If glider is also a graphic representation of some basic building blocks of mater (such as: proton or neutron), then laws of physics can give rise to biological life.

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VI: Why Prequark Superstring Model

If Prequark Superstring Model cannot provide any additional insight more than other known theory or a combination of theories, it has no real value while it is true.Thus, why Prequark Superstring Model? Because, it provides the following additional insights.

  1. It contains and unifies mutually exclusive theories. Quark theory and traditional Superstring theory are mutually disconnected on the conceptual level, but Prequark Superstring Model unifies them. Quarks and leptons are superstrings in Prequark Superstring Model, and all quarks and leptons can be expressed in terms of Prequarks.
  2. Not only can Prequark Superstring theory duplicate the known results of other theories, but it provides simpler and better descriptions of nature, such as:
  3. Prequark Superstring Model arise from Equation Zero which also give rise to a new Gravity theory, that is, the quantum theory and gravity are unified.
  4. Prequark Superstring Model makes contact with a new discipline (Artificial Life). That is, it shows that biological life could be the direct consequence of physics laws.
With Prequark Superstring Model, a true TOE (Theory of Everything) can be constructed.

Frequently Asked Questions
  1. Q: How prequark seats are arranged in space? If the seats are arranged in a straight line, it would means that color symmetry is broken. If they are arranged in a triangle with equal sides, then one cannot find any difference among 3 colors.
  2. Q: In Standard Model, neutron decay is mediated via weak current (W- boson), and W boson has been observed. Why does W boson not appear in the prequark representation of neutron decay?
    A: During the -(V, A) exchange, this mixture is W boson. Prequark model gives much more detailed and clear picture.
  3. Q: Proton is not composite of only three quarks but includes gluons, spin, electric charges, weak charge, etc.
    A: Spin and electric charges are carried by Angultron. The gluons are consequences of SU(3) color symmetry. As long as the SU(3) color symmetry is preserved in the Prequark theory, the gluons are imbedded in it, of course, with different expressions.
  4. Q: Does prequark theory predict any new particles?
    A: Prequark Superstring theory see quarks which are composites of prequarks. However, prequarks are not particles in the traditional sense, such as proton or quark. As for the traditional particles, prequark theory does not predict any new "elementary" particle.
  5. Q: Is prequark a particle?
    A: No. Prequark is not a particle in any sense. How can a vacuum (Vacutron) be a particle? Prequark itself is not even a superstring; quark is. Prequarks are attributes of the space-time world sheet. We can view Vacutron as the valley bottom of the space-time world sheet, Angultron the summit of the hill. When the two sections (two seats) of a space-time superstring lay on the summit of two hills and one lay on the bottom of the valley, this superstring is a up-quark. If the first section (seat) is on the bottom of the valley, it is a red up-quark, etc.. When all three sections (seats) of a space-time superstring lay on the summit of three hills, it is an electron. When all three sections of a space-time superstring lay on the bottom of three valleys, it is a neutrino.
  6. Q: How can this space-time world sheet house three generations of particles?
    The space-time equation (Equation Zero) demands that time superstring (a time-sheet itself) to include the imaginary time. It also demands that time quanta cannot be reduced to zero length (a continuous point) because of being a superstring. That is, this time sheet is, in fact, a donut which has one hole at origin and another hole at infinity. See graph on the left.

    Equation Zero again demands that this time quanta moves in an Archimedes spiral fashion to form a time cone which again is a donut. See graph on the right.That is, the space-time world sheet is formed by two donuts.
    Every donut has the following topological properties:
    The graph on the left shows the space-time world sheet. It can be viewed as a ball which contains two donuts. The tube itself is the first donut, and its internal surface contains three quark colors.
    The tube "forms" a second donut, and its internal surface cannot truly be seen, contrary to the graph. The internal surface of this second donut contains three genecolors.
    The visible space-time world sheet is the external ball surface which needs four (4) colors, the ordinary 4 space-time dimensions.
    The holes link this world sheet to Nothingness which must also be counted as one dimension, the colorlessness demanded by the color complementary rule. Thus, the space-time world sheet has a total of eleven (11) dimensions (4 visible space-time dimensions, 3 quark colors, 3 genecolors [generations], and one colorlessness dimension).

    The graph below is the summary of above concepts

  7. Q: How can this space-time world sheet make up with or by two donuts? Can these 11 dimensions be visualized in terms of geometry instead of quark colors?
    A: First, a garden hose is a donut. When we wind this garden hose into a ball, it actually form another donut.
    Second, a garden hose (or a donut) has (or needs) 7 dimensions. A garden hose has two spaces, and they cannot know each other. Every point on the garden hose needs two sets of coordinates. For observer standing outside the garden hose, he sees a point on the garden hose with a set of coordinates (Xe, Ye, Ze). The same point viewed from the inner space of the garden hose has (or must use) a new set of coordinates (Xi, Yi, Zi). Then, the empty space around the garden hose is not part of the garden hose world sheet, and it has no coordinate. All points of this empty space cannot be distinguished among one another, that is, they can be viewed as the same point. However, this empty space point must also be one dimension, E (nothingness). Thus, a garden hose (or a donut) has (or must have) 7 dimensions.
    Third, when this garden hose winds itself into a donut, the external coordinates further divides into two sets (Xei, Yei, Zei) and (Xee, Yee, Zee). This garden hose world sheet now has (or needs) 10 dimensions -- (Xi, Yi, Zi), (Xei, Yei, Zei), (Xee, Yee, Zee), and E (nothingness).
    Fourth, the above garden hose world sheet is a static world sheet. On the contrary, the time quanta is a dynamic garden hose, and it has a clearly defined moving direction. This must be also a dimension, T the ordinary time.
    Finally, the space-time world sheet has (or needs) 11 dimensions. Note: Some physicists try to reduce those additional dimensions to 4 ordinary space-time dimensions. But, those internal dimensions cannot be reduced.
  8. Q: Why should the time quanta be like a garden hose?
    The Schrodinger equation has the space symmetry. When Dirac rewrote it into two first order equations, he predicted the anti-particles. If (of course , it was a big if) Schrodinger equation also has time symmetry, the imaginary time must be introduced. Again, if (another big if) time is a quanta, it cannot be reduced to zero, a continuous point, that is, the origin of time sheet must have a hole. The graph on the left shows that time quanta must be like a garden hose. How about these two big if? The theory developed by these two big if has worked out very well, not only makes contact with the established physics but makes many more predictions and connections.
  9. Q: Regardless of what prequarks really are, they form a great notation system for quark model. But, what is the benefit to have a new notation system for an old model?
    A: One of the 11 dimension of the space-time world sheet is E (nothingness) which is not clearly identified by and with Quark Model, but the Vacutron (the vacuum, the nothingness) clearly represents it in Prequark Superstring model.
  10. Q: Can we, then, reduce Prequark system (V, A) to a simpler binary (0, 1) system?
    A: Vacutron is identical to 0. However, Angultron is a bit more complicated than 1. Angultron is a trisecting angle. It will take forever to trisect an angle. Thus, Angultron is a dynamic process which causes everybody's head spin. Very funny, we do call it spin. When this spin h(bar) moves with light speed in time, it expresses electric charge. When a superstring lays on 2 or 3 of them, that superstring becomes a particle. The residual binding energy (resulted from mixing angles) of those prequarks is expressed as mass, although the mass of prequarks cannot be defined.
  11. Q:What are new in Prequark Superstring theory comparing to the other theories?
  12. Q: Can Prequark Superstring Theory be shown in a simple graphic way?

    Quark as Prequark Superstrings

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