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CHAPTER TEN

Quantum Field Theory


Quantum field theory is the study of the quantum mechanical interaction of elementary particles and fields. Quantum field theory applied to the understanding of electromagnetism is called quantum electrodynamics (QED), and it has proved spectacularly successful in describing the interaction of light with matter. The calculations, however, are often complex. They are usually carried out with the aid of Feynman diagrams, simple graphs that represent possible variations of interactions and provide an elegant shorthand for precise mathematical equations. Quantum field theory applied to the understanding of the strong interactions between quarks and baryons and mesons is called quantum chromodynamics (QCD )

10.1  Fundamental Forces and intermediaries

Particles that transmit forces

Name

Force
Type

Relative

Strength

Range

(m)

Spin

Electric
charge

Mass
(GeV)

Observed?

Graviton

Gravity
Force between masses

10-41

 

2

0

0

Not yet

Photon

Electromagnetic Interaction
Between Electric charges

 

 

10-3

 

 

1

0

0

Yes

Gluon g

Strong Interaction

Between quarks

1

10-15

1

0

0

Indirectly

W+

Weak Interaction between neutrino and nucleus

 

 

10-16

 

 

10-17

1

+1

80

Yes

W-

1

-1

80

Yes

Z0

1

0

91

Yes

Higgs

 

 

 

0

0

> 78

Not yet

In 1966 Peter Higgs (University of Edinburgh) proposed that the universe was full of a field called a HIGGS FIELD. Disturbances in this field as particles move through it cause objects to have mass. The field consists of countless Higgs Bosons that act like a kind of cosmic fluid  and Higgs particles that 'cling’ to the objects that move through space they    drag which is what appear as mass.

As we go up from the gross mass into elementary particles and sub-elementary particles the strength of the force increases rapidly.

10.2  Vacuum Zero Point Sea

One of the early consequences of Quantum physics was the prediction of   an underlying sea of zero-point energy at every point in the universe.  All of space must be filled with electromagnetic zero-point fluctuation creating a universal sea of zero-point energy. This is an enormous amount of energy, which cannot be easily used.  One way to avoid this infinite amount of energy in QM calculation was the renormalization process where this constant energy was subtracted and used as the reference level.  The presence of zero-point fluctuations has been verified experimentally with very accurate measurements of the Lamb Shift (http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/lamb.html ), other atomic energy level shifts, the magnetic moment of the electron, and the recent measurement of Cassimir force.(http://physicsweb.org/article/world/15/9/6)
The energy fluctuations in quantum vacuum are converted into particles of matter called virtual particles.

10.3  Vacuum Fluctuations, Virtual Particles  and the Origin of the Universe

“There is a still more remarkable possibility, which is the creation of matter from a state of zero energy. This possibility arises because energy can be both positive and negative. The energy of motion or the energy of mass is always positive, but the energy of attraction, such as that due to certain types of gravitational or electromagnetic field, is negative. Circumstances can arise in which the positive energy that goes to make up the mass of newly created particles of matter is exactly offset by the negative energy of gravity of electromagnetism. For example, in the vicinity of an atomic nucleus the electric field is intense. If a nucleus containing 200 protons could be made (possible but difficult), then the system becomes unstable against the spontaneous production of electron-positron pairs, without any energy input at all. The reason is that the negative electric energy can exactly offset the energy of their masses.

In the gravitational case the situation is still more bizarre, for the gravitational field is only a space warp - curved space. The energy locked up in a space warp can be converted into particles of matter and antimatter. This occurs, for example, near a black hole, and was probably also the most important source of particles in the big bang. Thus, matter appears spontaneously out of empty space. The question then arises, did the primeval bang possess energy, or is the entire universe a state of zero energy, with the energy of all the material offset by negative energy of gravitational attraction?

It is possible to settle the issue by a simple calculation. Astronomers can measure the masses of galaxies, their average separation, and their speeds of recession. Putting these numbers into a formula yields a quantity, which some physicists have interpreted as the total energy of the universe. The answer does indeed come out to be zero within the observational accuracy. The reason for this distinctive result has long been a source of puzzlement to cosmologists. Some have suggested that there is a deep cosmic principle at work, which requires the universe to have exactly zero energy. If that is so the cosmos can follow the path of least resistance, coming into existence without requiring any input of matter or energy at all. (Davies, Paul. 1983. God and the New Physics  London: J.M. Dent & Sons.)

Steven Weinberg of Harvard and Ya. B. Zel'dovich in Moscow suggest that the universe began as a perfect vacuum and that all the particles of the material world were created from the expansion of space out of the vacuum fluctuation where virtual particles materialized to form the cosmos we now know as universe.  

1.4  String, Super String, and M-Theory

The large number of classifying and unifying the elementary particles with their properties gave rise to the  String Theory.  Here the myriad of particle types is replaced by a single fundamental building block, a `string'.

These strings can be closed, like loops, or open. . As the string moves through time it traces out a tube or a sheet, according to whether it is closed or open in time. The strings can vibrate freely.  In a closed loop however,  certain modes can exists without decay forming real particles. In these systems one mode of vibration, or `note', makes the string appear as an electron, another as a photon and so on.  The first great achievement of String Theory was its ability to explain to quantum gravity.

The original String Theory could explain on the particles with integer spins or Bosons  Hence additional introduction on Supersymemtry gave rise to the Super String Theory with more degrees of freedom ( ten dimensions in all) and hence were able to accommodate Fermions also.  It is also possible to mix up fermions and bosons to produce Heterotic String Theories.  A mother of all theories of string could then be developed called M-theory in eleven dimensions of vacuum from which all other forms of string theories could be obtained as subsets.

Thus in String theory  in the framework of quantum field theory  particles are no more points but strings in multidimensional space. Then all fundamental particles can be considered to be modes of vibrations in the string and the particles' intrinsic charge, mass and spin arise as features of the world at various dimensions of the existence of the string. Thus the gross matter is nothing but the conglomeration of modes of vibrations of the vacuum.

 

Many people especially the media went ballistic on this “Theory of Everything”.  But those who are involved in the research are aware of its vast limitations.

“The TOE phrase is very misleading on several counts. First of all, the theory is not yet fully formulated, and when it is (which might still take decades) it is not entirely clear that it will be the last word in fundamental physics.

Furthermore, even if the theory is a complete description of quantum dynamics, it seems unlikely that it will also provide a theory of initial conditions, which is another key ingredient required to explain why we observe the particular universe that we do.
But even if a theory of initial conditions is also obtained, there will still be much about this universe that cannot be explained. Many things, such as our very existence, are a consequence of the inherent quantum indeterminacy of nature. I believe that cannot be overcome. Maybe that is just as well, because if we had old-fashioned classical determinism, the future would be fully determined, which would undermine our humanity.”
http://www.theory.caltech.edu/people/jhs/strings/string11.html
John Schwarz

10.5  The Word Became Flesh

To summarize: In Elementary Particle Physics uncertainty offers explanation for reaction between elementary particles by means of virtual particles. The virtual particles are subatomic particle whose existence violates the principle of conservation of energy but is allowed to exist for a short time by Heisenberg's uncertainty principle. In intense fields virtual particles will materialize to give real material particles, which have extremely short lives and abnormal properties. These are observed in many cloud chamber and liquid chamber experiments. Intense reactions are permissible in nature provided they are within the space of uncertainty.  The extra energy required for these processes are available from the vacuum.  In fact the modern tendency is to assume that the elementary particles are the vortices and disturbances in this sea.  In this model matter is nothing but the presence of waves, vortices and disturbances in the Vacuum.  This reminds us of creation in Genesis.

Gen 1:1  In the beginning God created the heaven and the earth
 
[776  'erets  eh'-rets:  from an unused root probably meaning to be firm; the earth (at large, or partitively a land):--X common, country, earth, field, ground, land, X natins, way, + wilderness, world.    Fermi Level?]

Gen 1:2  And the earth was without form8414  ;
[8414  tohuw  to'-hoo: from an unused root meaning to lie waste; a desolation (of surface), i.e. desert; figuratively, a worthless thing; adverbially, in vain:--confusion, empty place, without form, nothing, (thing of) nought, vain, vanity, waste, wilderness.]

and void922  
[922  bohuw  bo'-hoo: from an unused root (meaning to be empty); a vacuity, i.e. (superficially) an undistinguishable ruin:--emptiness, void. Calmness over the Fermi Sea?] ;
and darkness  was upon the face of the deep. And the Spirit of God moved upon the face of the waters

Gen 1:3  And God said, Let there be light: and there was light.

In the String Theory we have a clear exposition of how vibrations are the root form of creation of particles. Word indeed is foundation of cosmic realities.

Thus the creation was the process of Word becoming flesh.  Ongoing creative process were also the vortices being created by the Word within the vaccum and the various fundamental and higher harmonics of strings form the building blocks of all matter.  Unlike the indication of Sound as Word, the biblical Word is the translated in the New Testament Greek as of Logos and John describes the same as:

Prajapati vai idam asit:
In the beginning was God
Tasya vag dvitya asit;
with whom was the Vak (Word)...
Vag vai paramam Brahma;
and the Vak (Word) is Brahman"

"All things were made by him." (John i. 3.)
"By the word of God the heavens were of old." (2 Peter iii. 5.)

"By the Word of God were the heavens made, and all the host of them by the Breath of his mouth." (Ps. 33: 6.)

Thus it is the vibratory consciousness of God that created everything by creating the vortices and waves in the Fermi Sea and the music of the universe created the universe.

This was the basic teaching of St.Thomas the scientist disciple of Jesus.  It was Thomas who  wrote AUM the trinity symbol in all the eight churches he established in Kerala.  It has become the center of all Indian tradition even today.  

Man being made in the image of God is given the same creative power, which can cause vibrations and waves in the fermi sea and causes events to be created by collapsing the state function.

All religions recognize these phenomena of coherence of consciousness.  The mystics among them particularly concentrate on this effect.  In Christianity the creation is entirely through the Word of God.  It is the reverberation of the cosmic vacuum that appears as matter in creation.

History describes such intense periods of activity when abnormal events took place. We look back into history and wonder at the occurrences of such impossible events. These strange miracles and crisis points are the materialization of the virtual so that it produces a new situation, which changes the history of mankind. It is not difficult to see such crisis situations described in the Bible. The first crisis situation was the fall. The tower of Babel, the Universal Flood and finally the Cross-, followed the fall in succession. Other situations like Sodom and Gomorrah, the liberation of Israel, the Captivity of Israel etc. are of less intense local situations. 

Signs, wonders and miracles are therefore possible if one can create a vortex or disturbance in the Fermi Sea.   A whole teaching of faith in action follows this line of argument.

 



 

Vortex Formation in a Fluid