From The Alpha and the Omega - Volume III
by Jim A. Cornwell, Copyright © July 20, 2002, all rights reserved
"Volume III - Neutrinos and the missing matter"

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Volume III - Neutrinos and the missing matter

    This file created on July 31, 2003 is connected to Volume III Dark Matter for 2002-2003.

    The following is the personal notes of Jim. A. Cornwell regarding neutrinos as the missing matter in the universe and also their interaction with mass in motion.

Select one of the following to go to that subject:

||    Neutrino Introduction         ||    Gauge Theory     ||    Gravity     ||    Unified Equation     ||     Mass     ||

||    TOE - Theory of Everything, String Theory, Supersymmetry     ||    Black Holes     ||    Age of the Universe     ||

||    Quark-gluon plasma quest     ||    Higgs Field     ||    Large Hadron Collider history, new results 2010, What it might find, and String Theory's future     ||

||    Other subjects of Physics and Cosmology     ||    New Science News Articles for 2011 through 2022     ||

||    Bottom of page     ||



Neutrino Introduction.

    Mass is strictly neutral, electrically.    This net balance of positive and negative charge, the electric force is stronger than gravity.     Neutrinos are any of three electrically neutral subatomic particles in the lepton family [Italian, from neutro, neuter, from Latin neuter, neutr-].    These particles have an amazing capacity to pass through ordinary matter, closely related to the electron and heavy electron.
    Neutrinos travel at or near the speed of light.    They are produced when unstable atomic nuclei or subatomic particles disintegrate.    Neutrinos belong to the lepton family of particles, which included electrons and two heavier types called muons and taus.    Neutrinos can be transformed into charged leptons by colliding with atomic nuclei.    A type of neutrino called an electron-neutrino can only be transformed into an electron. Mu- and tau-neutrinos change only into muons and taus.    Neutrinos have counterparts called antineutrinos.    These particles also have no electrical charge and an unmeasurable mass, but they differ from neutrinos in the direction of their spin.    See antimatter.
    Neutrinos interact with matter only through a form of electromagnetic force called the weak interaction.    Because this force acts at extremely short distances, neutrinos can pass through solid matter with only a slight chance of a collision.    A beam of neutrinos can travel entirely through the earth with no significant loss in strength.
    The ability of neutrinos to penetrate matter makes them useful in the study of nuclear particles.    In particle accelerators, Physicists have learned much about the makeup of neutrons and protons by observing rare collisions between neutrinos and atomic nuclei.
    Some nuclear reactions that occur deep within the sun produce neutrinos.    Such neutrinos provide the only means of studying the sun’s interior.    In addition, scientists have theorized that neutrinos carry off much of the energy released by exploding stars called super novae.    It was Wolfgang Pauli proposed the existence of the neutrino in 1921 to account for the mysterious disappearance of energy in the atom-smashing experiments.

From notes:

    Transmitting a proton into a neutron thus involves changing an up quark into a down quark.    The successful burning of the Sun and the making of the chemical elements depended on the ability of the weak forces.    Quarks are not alone in feeling the weak force, which shared with gravity the distinction of acting on matter of all kinds.    It affected even the ghostly neutrinos, which have a special place in the story of the weak force.
    The burning and explosions of stars create more neutrinos, every time the weak force changed one quark into another it produced a neutrino.    Their existence explained why radioactive atomic nucleus, shooting out an electron, lost more energy than represented in the electron.    Neutrinos have no mass, nor charge, an electron without electricity.    It has energy and spin.    It is not a force carrying particle.    ***(Can this be true?)    It can casually appear and disappear again.    Does the neutrino feel the force of gravity?    If it does, since it travels at the speed of light, any deflection would be very slight.    Apart from gravity, the neutrino would react with ordinary matter only by the weak force, so its inertness testified to the extreme weakness of the weak forces.
    The ordinary electron, the heavy electron and the two neutrinos were all basic constituents called the electron family the “leptons.”
    One theory current in 1970, a novel version of the weak force - a form never seen before.    It would allow a neutrino to react with other matter and yet remain a neutrino.    This new force finally showed up, with a neutrino reacting without changing its identity (like seeing gravity throw an apple sideways off of a tree).    This new cosmic force was named “weak interaction via the neutral current.”
    Exploding stars were unexplained, but a possible factor that might account for it was the production of very large numbers of neutrinos caused by the final nuclear reactions and by the squeezing of the core.    Neutrinos would act on the other matter of the star, by the weak force, which was too weak to accomplish this reversal involved in breaking the star.    The new form of the weak force became respectable.    Silicon and iron form in abundance in the last stages of nuclear burning, the swarming neutrinos could now interact with the heavy atomic nuclei, exerting a pressure on a nucleus as a whole which would be much stronger than the effect of a neutrino on an individual quark.
    Neutrinos do react with nuclear matter and the new force is seen when a lone electron suddenly set in motion by the passage of an invisible neutrino.
    Weak force might be the electric force in disguise.    The weak force was far weaker than the electric force and extremely limited in its range, also it did change the charges.
    Could the weak force being carried by a force carrying particle, in much the same way as a particle of light carried the electric force.
    A neutrino (neutral electron) emitting a force carrying particle labeled W+ (W for weak) and changing into an ordinary electron.    The force carrying particle then reacts with an electron and changes it into a neutrino.    This process is reversible with a (W¯).
    If an up quark emits a (W+) and changing into a down quark.    But now the (W+) breaks up, into a neutrino and an anti-electron, giving interesting clues about the nature of the W+ particle.    The up quark could then join up with the remaining anti-down quark to make the W+ particle, but it could also consist of a neutrino and anti-electron.    The W+ particle could change its spots as it traveled along and change back again.
    This variability enabled the W particles to react with all kinds of matter.
    The W+ and W¯ force carriers carried electric charges and could account for the activities of the weak force.    Another force carrier, with no electric charge, (Wº) and would allow a neutrino to react with a quark and still remain a neutrino.    In other words, the weak force could be understood as the electric force in disguise.    If only one force carrying particle of light in 1000 behaved oddly, it would account for the weak force and all the cosmic alchemy of which it was capable.

    Question: Why does the weak force only operate at very short, sub-nuclear ranges, while the electric force has unlimited range?    How heavy are the W particles carrying the weak force?

    In order to reduce the electric and weak force to one you must first increase them to three, by adding the weak force (Mark II), represented by Wº.    The W particles had to be very heavy perhaps 50 to 70 times heavier than a proton, or as heavy as an iron atom, very short lifetime.    W particles, show discrepancy in mass, Yang and Mills developed mathematics to unify forces acting between particles, particles without mass, this would allow unification of electric and weak forces.
    Discrepancy in masses, between the particle of light on the one hand and the heavy W particles on the other, was a severe case of broken symmetry.    The weak force exhibited a broken symmetry called parity violation in that nature knew the difference between right and left.    When a radioactive material threw out electrons they were much more likely to be spinning to the left than to the right.    This is interpreted as meaning that the associated neutrino always spun to the left, and was confirmed experimentally.
    Electric forces does show broken symmetry in superconductivity.
    Broken symmetry created peculiar new vibrations or new particles.    So W particles would swallow these new particles and become heavy, while an ordinary particle of light, by spurning them stayed slim.
    Left handedness shown by the weak force meant that only these coupling particles (left-handed force carriers) could make the W particles and carry out the operations of the weak force.
    S. Weinberg’s theory to unify electric and weak forces puts light and W particles into the same package.    His theory was in the form of the variation of the weak force with the neutral force carrier Wº and said that neutrinos could react with other particles and disturb them, while remaining neutrinos themselves.
    This states that the weak forces was indeed the electric force in disguise.    The proof is in, alternating the speed of radioactive decay, or the break up of particles using a very powerful magnet.

    The following is highlights from an article written by Edward L. Wright, last updated on September 21, 1998 found at http://www.astro.ucla.edu/~wright/neutrinos.html entitled "Dark Matter and Neutrinos."
    Neutrinos are very weakly interacting, electrically neutral particles that are involved in nuclear interactions where protons are changed into neutrons or vice versa, and in other reactions as well.    An example of a weak nuclear interaction involving a neutrino is the free neutron decay.
neutron --> proton + electron + anti-neutrino
    This decay has a mean life of 887 seconds or a half life of 10.25 minutes.    The cross section for a typical interaction involving a neutrino is 5 x 10-44 (E/[1 MeV])2 cm2 which is very small when compared to the Thomson scattering cross section of 7 x 10-25 cm2.    Thus a 1 MeV neutrino could travel through about 35 light years of water before interacting.    Even with this very small probability of interactions, neutrinos have been detected coming from nuclear reactors, the Sun, and from supernova 1987A in the Large Magellanic Cloud.
    Experiments show that the neutrinos produced in muon interactions are different from the neutrinos involved in interactions with electrons.    A third kind of particle, the tau, appears to be a heavier version of the muon which is itself a heavier version of the electron.    It is assumed to have its own kind of neutrino as well.    Thus there are 3 kinds of neutrinos:
    At one time the universe at Hubble time 1/H, there was a thermal background (CMBR - Cosmic Microwave Background Radiation) of neutrinos in equilibrium with the thermal background of photons.    Since neutrinos interactions are so weak, this thermal equilibrium only survived until 1 second after the Big Bang.    The neutrino background is still present today, with about 56 electron neutrinos, 56 electron anti-neutrinos, 56 muon neutrinos, etc., per cubic centimeter, for a total of 337 neutrinos per cubic centimeter in the Universe.    Photons of the CMBR are slightly more numerous with 411 photons/cc.

    Measuring the Neutrino Mass

    Because the number of neutrinos in the Universe is so large, even a very small neutrino mass can have drastic consequences for cosmology.    There are three ways to detect a neutrino mass:
    The cosmological effects of the neutrino mass would be obvious if the sum of the masses of the three types were larger than 40 eV, so this gives a limit on all three types.

    Technical Discussion of the Neutrino Background

    At the time of weak decoupling, about 1 second after the Big Bang, the neutrinos and the photon-electron-positron plasma had the same temperature, which I will call Tn.    All these particles were relativistic since k*Tn>1 MeV, where k is the Boltzmann constant (i.e. 1.380658*10-23 joule/K).    The energy of a relativistic plasma occupying a volume a3 ("a" will be the scale factor of the Universe) is
Q = (2\sigma/c) (gb+ (7/8)gf)a3 T4
where \sigma is the Stefan-Boltzmann constant (i.e. 5.67051*10-8 watt/m2k4),
c is the speed of light,
and gb and gf are the number of spin degrees of freedom for bosons (integral spin particles) and fermions (half-integral spin particles).
    For photons gb=2, since even though the spin is 1, there are only 2 spin states instead of 2*Spin+1,because the longitudinal EM mode doesn't propagate.
    For neutrinos gf=1, even though the spin is 1/2, because one of the helicity states doesn't exist.
    Finally for electrons with spin of 1/2, gf is 2 and for positrons gf is 2.
    Thus the photon-electron-positron plasma has Q = (4\sigma/c) (1 + 7/4) a3 T4
    As the Universe expands and cools adiabatically the entropy in the volume a3 is conserved.    Since the photon-electron-positron plasma has decoupled from the neutrinos its entropy is separately conserved.    The entropy can be found by a thought experiment of heating the volume from 0 to T and
using dS = dQ/T or S = (4\sigma/c) (1 + 7/4) a3 \int 4 T2 dT
therefore giving us S = (4/3) (4\sigma/c) (1 + 7/4) a3 T3
    In the absence of annihilation conservation of entropy gives aT = constant.
    During the period from 1 second after the Big Bang until 3 minutes after, the temperature falls to well below the rest mass of the electron.    Thus the electron-positron plasma annihilates and transfers its energy and entropy to the photons.    This leaves the photons with a temperature Tp that is larger than the neutrino temperature Tn.    Energy is not conserved in an adiabatically expanding gas because the pressure of the gas does external work, but the entropy is conserved.    Thus the entropy before from photons and the electron-positron pairs.
(4/3) (4\sigma/c) (1 + 7/4) a3 Tn3,
is equal to the entropy afterward just from photons,
(4/3) (4\sigma/c) a3 Tp3,
so
Tn/Tp = (4/11)1/3.
    The photon temperature now is Tp = 2.728 K and the neutrino temperature now is 1.947 K.


    The following are recent news article and some also listed in the file, click here to return to Volume III file "Dark Matter Discoveries in 2002-2003"     From this point on all articles on Dark Matter will be entered in the following file Science News Articles From 2011 through 2022
This will open a file as a Word Document with news articles about the latest science regarding many of the subjects above.


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Gauge Theory.

    The Gauge Theory tried to unite the weak and electric force.    Is there consistency or symmetry in time and space?    How do local events connect with distant events?
    If one charges a lohole laboratory up to a high voltage then your measurement of the force between two electrons would be quite unaffected.    The theorists are at liberty to specify circumstances for which they choose to calculate the local effects of one electron on another.    They called this choosing the GAUGE.    Conservation of electric charge and the ability of electric charges in different parts of the universe to communicate with one another help the problems of electric force.
    Virtual particles of light passed between electric charges, carrying the force and the passage of these particles of light guaranteed that any discrepancies between one part of the universe and another would be ironed out.
    Theorist ran into difficulties when they applied the gauge idea to the weak and strong forces. The snag is that the force carriers for the weak force were not nearly such perfect messengers as particles of light.    They were massive and short-lived and slow.    But consistency could be achieved provided the force carrying particles felt the force themselves.
    As the theory which the force carrying particles felt the force themselves and is used in colour force theories with quarks.

COSMIC FORCES


    Helium was lighter than four protons, so there was the loss of mass, supplying the energy.    This strong nuclear force released enough energy that the mass was reduced by more than ½ of 1%, later calculations shows more than ¼ of the energy was lost, in the form of inert neutrinos.
    Uranium can gradually rid itself of excess protons by throwing out small pieces of its nucleus.    With less opposition from the electric force, the strong nuclear force could bind the constituents more tightly, with a corresponding release of energy.    Eventually it changes to lead, the heaviest of stable elements, with 82 protons.

    When neutrinos encountered quarks, they occasionally react with them by the weak force.    Neutrinos ought to be able to generate charm (charmed quarks), reacted by the weak force with the quarks in the nucleus of an atom the neutrino changed into a heavy electron.
    A neutrino seems to charm a proton, changing it into a heavier particle that quickly breaks up into a strange particle and other normal particles.
    The only stuff in the universe that looks reasonably secure in its existence is the neutrino.
    The answer to some mathematical scheme of nature must require the large number of particles - quarks of different types and colour, and the members of the electron family to succeed in an overall unified theory.
    Although gravity is still missing from the scheme.

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Gravity.

    When matter is closely packed together gravity could overwhelm all the other forces.    Natures own accelerator in the form of varying magnetic fields that caused particles to orbit and gather speed.
    Matter deforms space-time, so particles of light did not travel in straight lines.    The effects of the curvature of space are equal to the force of gravity.

    Can neutrinos be blacked out by Black Holes?
    Is space-time grainy and is that where the qualities of the particles come from?
    Could the interaction of neutrinos set these grainy particles in motion and thus this motion of matter makes so-called gravity effective to the scale of the motion and the mass involved?


The Shrinking Sun

    A theoretical source of all solar energy and an example of errant behavior.    In the string of nuclear reactions that eventually produce helium from hydrogen, a couple of elusive atomic particles, called neutrinos, are created.    They have no electrical charge and can pass through most matter almost unimpeded.    A neutrino could pass completely through the earth with only one chance in 10 billion of being stopped.
    If the sun is heated by fusion, the experiment required should detect a certain number of neutrinos per day.    What was found was only a fifth of the number expected.    Although we may not understand the physics of neutrino production or detection.    Or the temperature inside the sun and hence the rate at which the nuclear fires produce energy is much lower than we thought.    Both may be correct.
    Jack Eddy found a slight shrinkage of the sun of about 0.1% per century.    That is only about 13.7 kilometers per year.    Perhaps gravity alternates with nuclear power in providing energy.


d = 1/2at2 = distance earth falls toward the sun 1/9 inch per second.
R = 93,000,000 miles = distance from earth to sun.
G = 6.6732 c 1--8n - m2 / g2
diameter = 865,400 miles (110 times that of the earth).
Surface gravity = 900 ft./sec. (27.9 times the earth)
Temperature = 5750º A, 9900º F
Rotation = 24 days, 16 hours.

Bow Wave Equation maintains an exact 19 degrees 28 minutes and is a function of the gravitational force of the whole earth.

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Unified Equation.

    The UNIFIED EQUATION is an ultimate theory that would have only a one-dimensional constant, the Planck mass and a cosmological constant, and it must explain all natural phenomena - from galaxies to quarks and beyond.

    Planck Mass = ten millionths of a gram, which is the smallest imaginable black hole - such that the diameter of the black hole was equal to the uncertainty about the location of the mass in space.    In principle it might define the speed of light, the relationship of masses and charges in all particles, the strengths of the various forces, the limit to borrowed energy (Planck’s constant).



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Mass.

    MASS is often defined as the amount of matter in an object.    Usually defined as a measure of inertia, a property of matter.    Inertia is the tendency of a stationary object to remain motionless and of a moving object to continue moving at a constant speed and in the same direction.
    The greater an object’s mass, the more difficult it is to speed it up or slow it down.
    Force, mass, and acceleration are related to Newton’s second law of motion F = ma, where F is force, m is mass, and a is acceleration.
    Mass and Weight are not the same thing. Weight is the force on an object due to the pull of earth’s gravity.    A body weighs less the farther it gets from the surface of the earth.    But its mass remains constant, no matter where it is (weightlessness in space).    The moon has less mass than the earth, thus the reason for its gravitational pull being 1/6th of the earth.
    Conservation of Mass.    Since the discovery of the loss of mass accompanied by a release of energy in atomic bomb or nuclear reactions, it is now believed that the total mass and energy in the universe does not change.    However, the quantity of each does vary.
    Mass (matter) and energy are related by Albert Einstein’s famous equation E = mc2, E is energy, m is mass, and c is the velocity of light.    The formula indicates that large quantities of energy can result from tiny amounts of mass if the mass is completely changed into energy.
    *** Is it possible as mass is in motion it changes to energy and creates neutrinos which permeate the space-time around the mass, and result in the creation of gravity?    Some objects in motion are not affected by gravitational forces or magnetic forces.    Is this the gravitons?
    An example is the Gyroscope (a spinning wheel in a movable frame) a mechanical device that seems to defy the force of gravity.    The gyroscope (Gr. Gyros, revolution, and skopein, view, view the revolution of the earth) holds its original position in space while the earth turns under it.    It is interesting to note that the earth holds its original position in space while the universe turns under it.    A housefly’s top speed is 4 ½ miles per hour, but yet it can keep its position in space while enclosed in an automobile moving at 80 miles per hour.    When you ride a bicycle you must control gyroscopic forces in order to keep the bicycle standing.    The wheels must be kept spinning, and if you lean slightly to one side, you will not fall over, but only turn in the direction of the lean.    Bicycles show two gyroscopic forces: (1) gyroscopic inertia and (2) precession.
    Gyroscopic Inertia is the ability of the spinning axle of a gyroscope always to point in the same direction, no matter how the support of the gyroscope moves about.    It is gyroscopic inertia that keeps the bicycle upright as long as the wheels keep spinning.    Another example is a spinning football traveling straight to its target.
    Does the gyroscope weigh less while it is spinning?    If mass is constant, and weight can vary depending on it’s relative location to a gravitational force, is it possible that an object spinning or in motion can lose mass as energy (released as neutrinos).
    Precession is the tendency of a gyroscope to move at right angles to the direction of any force applied against it.    Precession makes the bicycle turn a corner when you lean to one side.    Another example is a hula hoop which is being pushed from the side against the top, it merely will turn a corner, a precesses, or turns at right angles to the force you applied against it.
    A spinning Gyroscope is not affected by the downward pull of the earth’s gravity or by the presence of a magnetic field.    On a moving ship the gyroscope always points in the same direction regardless of the ships direction.    In a Gyrocompass it always indicates true north, and is unaffected by the earth’s magnetism or by the rolling and pitching of the ship.

The Sun


Sun’s mass = 2.2 x 1027 tons (333,400 Earth mass tons); 1.98 x1030 kilograms; 2 x 1033 grams

Neutron Star = 1010 kg/m
Sun’s diameter miles = 865,400 earth diameter miles x 110 = 9.519 x 105
Pluto is 6,000,000,000 kilometers from the Sun.
Sun’s density = Earth’s density pound per cubic feet x 0.4
Sun’s density = 137.28 lb./cubic ft, 0.05 lb./cubic inch, 1.41 gram/cubic cm
White Dwarf Star density of matter = 1 x 108Kg/m

Sun’s surface gravity = 27.9 x Gravitational Constant feet per sec squared (of the Earth).
Sun’s surface gravity = 897.655 feet per sec squared, averages 900 ft./sec.2 (27.9 x the earth)

Sun’s temperature = 5750º A, 9900º F    Surface K = 5800
Sun’s rotation = 24.6667 or 24 days, 16 hours.
Sun light constant energy = 1.94 recorded at the earth in calories per cm squared/min.
Star’s orbit = 2 x 108 years;    Sun’s orbital velocity = 250 km/sec. (clockwise)
Sun’s distance to the galaxy center = 10 KPC
Sun’s luminosity = 4 x 1026joules/sec.


    Recent articles about the universe's missing mass:


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TOE - Theory of Everything, String Theory, Supersymmetry.

    In the Scientific American, January 1996 - an article “Explaining Everything” by Madhusree Mukerjee, staff writer - page 88-94.

    Renata Kalloch of Stanford University, “I want my four-dimensional canonical gravity to be one at infinity?”
    Jeffery A. Harvey of the University of Chicago ask “What does it mean that your black holes have zero mass?    Do they move at the speed of light?”
    “No, they have nothing, no momentum,” Gary T. Horowitz of the University of California at Santa Barbara replies.    No energy, no momentum, nothing there!
    These theoretical physicists gathered at the Aspen Center for Physics in the Colorado Rockies for the Theory of Everything, or TOE.    This theory must be simple enough to write down as a single equation and to solve.    The solution will describe a universe that is unmistakably ours: with three spatial dimensions and one time dimension: with quarks, electrons and other particles that make up chairs, magpies and stars; with gravity, nuclear forces and electromagnetism to hold it all together; with even the big bang from which everything began.    The major paradigms of physics - including quantum mechanics and Einstein’s gravity - will be revealed as intimately related.    “Concepts of physics as we know them today will be completely changed as the story unfolds,” predicts Edward Witten of the Institute for Advanced Study in Princeton, N.J.

    A decade ago the “string theory” promoted the idea that the most elementary object in the universe is an unimaginably tiny string, whose undulations were posited to yield all the particles and forces in the universe.    These loops or segments of strings are about centimeter long and vibrate in many different modes, just as a violin string can.    Each vibrational mode has a fixed energy and so by the laws of quantum mechanics can be thought of as a particle.    The string theory ran into mathematical barriers and diverged into five competing theories with thousands of solutions, most of which looked nothing like our universe.

    A new symmetry, called duality, is making all the different strings twine into one another, and redefining a fundamental particle - or string.    Elementary objects now seem to be made of the very particles they create.    Witten believes duality not only will lead to TOE but also may illuminate why the universe is the way it is.    “I think we are heading for an explanation of quantum mechanics,“ he asserts.    String mathematics is so complex that it left behind the vast majority of physicists and mathematicians.
    At the same time, the world of duality is getting even more bizarre.    Strings mutate with ease into black holes, and vice versa; new dimensions blow up in different realms; and not only strings but bubbles and other membranes shimmer down the byways of the universe.

A New Symmetry

    Two theories are said to be dual is they are apparently dissimilar but make the same physical predictions.    For example, if all the electrical and magnetic quantities in Maxwell’s equations for electromagnetism are interchanged, one nominally obtains a different theory.    But if in addition to electrical charges, the world is presumed to contain magnetic charges (such as the isolated north pole of a bar magnet), the two theories become exactly the same - or dual.
    Duality makes elementary and composite objects interchangeable: whether a particle or other entity is irreducibly fundamental or is itself made up of even more fundamental entities depends on your point of view.
    The first signs of duality appeared while physicists were working on quantum-field theories, theories that describe particles as quantum-mechanical waves spread out in space-time.    In the field theory called quantum chromodynamics, or QCD, quarks are elementary particles that have a kind of charge, much like electrical charge, called color.    Color makes quarks attract one another very strongly, clumping into pairs and triads to form larger, composite particles such as protons.
    In the world there are no particles with magnetic charge, there are no particles with color magnetic charge.    In 1974 Gerard’t Hooft of Utrecht University in the Netherlands and Alexander Polyakov, then at the Landau Institute near Moscow, describe how fields making up quarks might knot into small balls endowed with color magnetic charge.    Such clumps - which are visualized as spheres studded with arrows representing vectors - are called solitons and behave like particles.    The theory of quarks with color charge now implied the existence of solitons with color magnetic charge, otherwise known as monopoles.    Monopoles are composite particles, derived from the fields of more elementary quarks.
    In 1977 David Olive and Claus Montonen, working at CERN near Geneva, speculated that field theories involving color might be dual.    Instead of quarks being elementary and monopoles composite, perhaps one could think of the monopoles as being elementary.    Then one might start with a field theory of interacting monopoles, finding that it gave rise to solitons that looked like quarks.
    Elementary String, on closer inspection, turns out to be an intricate, composite object, woven from the very particles and strings to which it gives rise.

    Diverse Modes of vibration can be induced in any string.    Quantum mechanics allows the waves to be interpreted as particles.    If loops of string about 10-33 centimeter long are fundamental constituents of matter, then their vibrational energies are the masses of elementary particles such as electrons, quarks and photons.


    Duality a type of symmetry, allows a view of composite entities as equivalent to fundamental particles, and vice versa.    For example, a quark has a kind of charge called color (red).    Moving electrical charges generate magnetic fields; likewise, moving quarks generate color magnetic fields (blue).    Sometimes many quarks can tangle into composite object, called a monopole, that has a color magnetic charge (top tight).    Because of duality we look at a monopole as a fundamental particle (bottom right).    Monopoles can clump to form quarks - which are now composite objects (bottom left).    The arrows (black) signify properties of the particles that are vectors, such as angular momentum.
    Angular momentum the vector product of the position vector (from a reference point) and the linear momentum of a particle.    The vector sum of the angular momentums of each component particle of an extended body.
    Establishing the mathematics came in February 1994, as Ashoke Sen of the Tata Institute in Bombay, India, showed that on occasion, predictions of duality could be precisely tested - and were correct.
    Meanwhile Nathan Seiberg of Rutgers University was developing an extremely helpful calculational shortcut for studying QCD.    His work was based on supersymmetry the idea for each kind of particle that constitutes matter, there should be a related particle that transmits force, and vice versa.    The symmetry has yet to be found in nature.    Seiberg used supersymmetry to constrain the interaction between particles, and with Witten went on to demonstrate that versions of QCD that include super symmetry are dual.

    Symmetry is an exact correspondence of form and constituent configuration on opposite sides of a dividing line or plane or about a center or an axis.

    QCD is difficult to calculate with because quarks interact, or “couple,” strongly.    But monopoles interact weakly, and calculations with these are easy.    Duality would allow theorists to deal with monopoles - and automatically know all the answers to QCD.
    Armed with duality, Seiberg and Witten went on to calculate in great detail why free quarks are never observed in nature, verifying a mechanism put forth in the 1970s by ‘t Hooft and Stanley Mandelstam.
    The validity hinges on the assumption that supersymmetry exists.    In duality something thought of as composite becomes fundamental.    Seiberg speculated that quarks are solitons, duals of some other elementary particles that are even smaller.

Stringing Strings Together

    The concept of duality grew out of the field theories, and is natural in the string theory.    Duality can unite strings of different kinds, existing in different dimensions and in space-times of different shapes.    A peculiarity of string theory - it is consistent only if strings originally inhabit a 10-dimensional space time.    The real world has four dimensions, three of space and one of time.    The extra six dimensions are assumed to curl so tight that they pass undetected by large objects such as humans - or even quarks.
    From a distance a garden hose looks like a one-dimensional surface, like a line, but as you get closer it has a two-dimensional surface, with one dimension curled up tight.    To string theorists the extra six dimensions can curl up in very many different ways.
    A type of duality called mirror symmetry found in the late 1980s has helped lessen this problem by merging some of the alternative solutions.    Mirror symmetry revealed that strings in two different curled spaces sometimes yield the same particles.    For example, if one dimension becomes very small, a string looped around that dimension - like a rubber band around a hose - might create the same particles as a string moving around a “fat” dimension.
    The size to which a dimension shrinks is rather similar, in string theory, to another parameter: the strength with which particles interact.    In 1990 Anamaria Font, Luis E. Ibanez, Dieter Lust and Fernando Quevedo, collaborating at CERN, suggested that something like mirror symmetry also exists for coupling strengths.    Just as large spaces can have the same physics as small ones, perhaps a string theory with large coupling could give the same results as another having small coupling.
    Strings look like particles, so that duality in string theory implies duality in field theory, and vice versa.    Each time duality was tested in either case, it passed with flying colors and helped to draw the two realms closer together.
    As duality emerged from supergravity, a unified theory attempt to stretch Einstein’s gravity to include supersymmetry.    String theory tried to modify particle theory to include gravity.    In 1986 Michael J. Duff of Texas A&M University was able to derive a picture for super gravity that involved vibrations of a new fundamental entity: a bubble.    Whereas strings wiggled through 10 dimensions, this bubble floated in 11.    Duff continued to work on closed membranes.    He found that a five-dimensional membrane, or a “five-brane,” that moved through a 10-dimensional space could serve as an alternative description of string theory.
    The five-brane could wrap itself around an internal curled space, like a skin around a sausage.    But if this internal space shrank to nothing, the bubble ended up looking like a string.    Duff suggested that this convoluted string was actually the same as the ones in string theory, positing a “string-string” duality.    Christopher M. Hull and Paul K. Townsend also were working with generalizations of duality in string theory independently of Duff.

    December 18, 1994 Looking into fourth dimension.    Princeton, N.J.--a discovery by Nathan Seiberg, a professor of physics at Rutgers University, and Edward Witten, professor of mathematical physics at the Institute for Advanced Study, makes solving equations in four-dimensional space as easy as solving them in two-dimensions.    Einstein showed that we live in a four-dimensional world and these two professors believe they have solved a decades-old puzzle and unlocked some of its mysteries.    For physicists, the discovery offers insight into the strange behavior of subatomic particles called quarks, the smallest building blocks of matter.
    Building on discoveries made in the 70s and early 80s they took an extremely complex equation of the behavior of quarks, simplified it and solved it.    Quarks are the particles at the heart of the atom that bind together to comprise all matter.    Experiments seems to indicate that quarks cannot be individually extracted: the harder you try, the more fiercely they stick together.    Physicists have methods to describe this behavior but until now, no way to calculate it.
    The Seiberg-Witten breakthrough will allow us to understand more things about four-dimensional spaces.    It will be compatible to inventions on the scale of lasers, magnetic resonance imaging equipment and the data compression methods.

Explosions of Dualities

    In March 1995 Witten at a conference at USC pulled together evidence for duality from diverse realms.    He recognized that Hull, Townsend and Duff were all talking about the same idea and went on to conjecture that Duff’s bubbles in 11 dimensions were solitons of a particular string in 10 dimensions.    Witten believes the five string theories involving 10 dimensions that now prevail will all turn out to be reflections of an ultimate, supreme, quantum string.


    Reducing dimensions of a space can be achieved by pasting its edges together and shrinking it.    For example, (1) a two-dimensional sheet of rubber is first curled into (2) a cylinder, and the curled dimension is then shrunk.    (3) when thin enough, the cylinder looks like a (one-dimensional) line or hose.    Twisting around this length of “hose” and by sticking its ends together, one gets (4) a doughnut shape.    The radius of the doughnut can be shrunk until it is small enough to approximate (5) a point - a zero-dimensional space.    Such changes could explain why the extra dimensions of space-time that string theory says must exist are too small to be detectable.
    Duff even proposed a “duality of dualities” - the duality between spaces, and that between elementary particles and composite objects, might turn out to be connected.    Among the most peculiar predictions of such ideas is that the size of a curled space influences the strength with which particles interact, and vice versa.    So if an internal dimension is big, coupling between particles might also be large.
    If a curled dimension blows up, in a far corner of the universe, space-time acquires a new fifth dimension.    Where it squeezes tight, as in our immediate environment, quantum effects appear.    Indeed, the fundamental scale associated with quantum theory, called Planck’s constant, is intimately entwined with duality: it relates, for example, the mass of a particle or string with that of its dual.    This is the most compelling evidence that string theory might teach us about quantum mechanics.

Black Holes

    In April of 1995 a connection emerged between strings and black holes - promising to overcome a major embarrassment in string theory.    Strominger, Greene and David R. Morrison of Duke University found that black holes help connect thousands of solutions to string theory in a complex web.    If enough mass accumulates in one place it collapses under its own gravitational pull to create a black hole.    But as Stephen W. Hawking of the University of Cambridge has argued, a black hole - which absorbs everything, even light - may also radiate particles, slowly losing mass and shrinking.    If the original mass were made up of strings, the decay would ultimately lead to an object with zero size - an “extremal” black hole, looking in fact rather like a particle, or black bubbles or black sheets - may simply be clumps of string fields, otherwise know as solitons.    As seen on the previous page a black hole can be a dimension of space-time which curls up very tight, as taking an infinitely long hose, looping it around and sticking the ends together so that it resembles a doughnut.    Both dimensions of the surface of the hose can be shrunk, creating a much smaller space.    If the doughnut becomes very thin at one point allowing it to become massless, and can be included in the calculations as quantum mechanical waves.
    When an electron falling into the point charge of a proton gives you infinities.    Only when you add quantum mechanics do you see that the electron goes into orbit.

The Theory

    The ultimate theory is still far off.    A problem is that there may never be any experimental tests for strings.    No one can even conceive of a test for something so minute: modern equipment cannot probe anything smaller than centimeter.    Hopes that the Large Hadron Collider at CERN in 2005 will discover supersymmetry.    In the real world the four dimensional space-time is flat, an imperfect supersymmetry attributed to nature, which makes space-time curl up impossibly tight in all dimensions.    Witten plans on getting around this impasse, which relies on duality between theories in different dimensions.    Beginning with a universe in which only three dimensions are initially flat - one of the four we know is still curled up, then induce the fourth dimension to expand, leading to a world like the one we know.
    The peculiarity of gravity also raises many difficult questions.    Einstein found that gravity arises from the curvature of space-time.    Therefore to quantize gravity is to quantize space and time, which may emerge as some approximate structure at large distances.

The Mathematics of Duality

    Free-flowing mathematics inspired by nature allowed physicists to solve some long-standing problems in classical mathematics.    They are also forcing open a new branch of mathematics, called quantum geometry.
    In 1990 Edward Witten of the Institute for Advanced Study in Princeton, N.J., was awarded the Fields Medal - the Nobel of mathematics - for the manifold ways in which he had used theoretical physics to unravel mathematical puzzles.    A key concept from physics, supersymmetry, turns out to connect intimately with modern geometry.    The latest triumph of supersymmetry is a means of classifying four-dimensional spaces, the real world, are also the most complex.
    In 1982 Simon K. Donaldson of the University of Oxford had shown how to use quantum field theories to count the number of holes in a four-dimensional space and thus to classify it topologically.    (For example, a sphere, a doughnut and a pretzel all belong in different categories of two-dimensional surfaces because they contain different numbers of holes.)    But the calculations were horrendous because of the intractable nature of the field theories.
    In 1994 Nathan Seiberg of Rutgers University and Witten pointed out that the results of one supersymmetric quantum-field theory could be provided by another, vial a symmetry called duality.    They provided a set of numbers that could calculate almost 100 times faster than the “Donaldson numbers.”    Seiberg-Witten theory allowed us to answer most of the outstanding questions completely.
    Duality of a different kind, called mirror symmetry, is used to solve the question, “How many curves of a given complexity can be drawn in a particular space?,” especially for convoluted curves.    Brian R. Greene of Cornell University and Ronen Plesser of Hebrew University of Jerusalem found that strings inhabiting two apparently unrelated spaces can yield the same results.    Using mirror symmetry, Philip Candelas of the University of Texas at Austin and others were able to tell the results of virtually impossible calculations in one space by looking to the mirror space - thus deriving the long-sought numbers.
    Quantum effects make it possible for spaces with different numbers of holes - such as a doughnut and a sphere - to transform smoothly into one another, a no-no for mathematicians.    (The standard rules for manipulating spaces allow them to be stretched or compressed, but no holes can be opened or closed in them.)    The study of such spaces is becoming the brand new field of quantum geometry (reviving algebraic geometry and number theory).


    Eliminating holes in closed spaces was thought impossible in mathematics, but physicists have found a way.    A doughnut and a sphere are both ways of curling up a two-dimensional surface, but they differ in the number of holes they contain.    (A doughnut has one; a sphere has none.)    If part of the doughnut thins to a point, however, the rest of it can be separated.    The doughnut can then be remodeled into a sphere.

A new page on Volume III - String Theory Equations, History and Concepts.



And also new page on Volume III - M-Theory Equations, History and Concepts.


    Recent news articles:


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Black Holes.

    May 26, 1994 Black hole proof said found. Washington - Researchers say they have proof for the existence of a super-massive black hole, an extremely dense galactic body that is gobbling up nearby stars.    Holland Ford of John Hopkins University and Richard Harms of Applied Research Corp. in Landover, Md., announced that in Hubble Space Telescope images of Virgo galaxy M87 they found a spiral disk rotating at about 1.2 million miles an hour around a center point.    A huge black hole containing a mass equal to more than 2 billion suns would have the gravity to keep such a fast-moving disc from braking apart.

 

    The existence of a black hole was predicted in the general theory of relativity.    M87 is a giant among a cluster of galaxies about 52 million light years (light year = 5.87 trillion miles) away from Earth.    The Hubble pictures of the center of the galaxy revealed a spiral formed by fast-moving gas clouds being drawn toward the center, rather like water going down a drain.    M87 contains a mass 2.3 billion suns in an area only about the size of the Earth’s solar system.    To the left is a telescopic view of a black hole.

    Digging a gravity well
Einstein’s 1915 General Theory of Relativity predicted that the gravity of massive objects warps space and time.    If space is represented by a flat sheet, the warping caused by gravity can be visualized as a well or depression.    The more massive the object, the more powerful is its gravity and the deeper the resulting well.    The gravity of a star or planet will dig a depression into space.    When an object becomes massive and dense enough, it collapses.    The elementary particles of matter becomes crushed into each other, until the forces that normally keep them apart are overwhelmed and all the matter is crushed into a point called a singularity.    When that happens, the object is said to have become a black hole.    Its powerful gravity traps anything that falls into it, even light.

    From Scientific American March 1993 Black Holes and the Centrifugal Force Paradox by Marek Artur Abramowicz.
    An object orbiting close to a black hole feels a centrifugal force pushing inward rather than outward.    This paradoxical effect has important implications for astrophysics.

    Centrifugal force n. The component of apparent force on a body in curvilinear motion, as observed from that body, that is directed away from the center of curvature or axis of rotation.

    Centrifugal force: the outward push, away from the center of the curve that grows stronger as a vehicle’s speed increases.    A.R. Prasanna of the Physical Research Laboratory in Ahmedabad, India and myself (chair of the astrophysics department at the University of Goteborg in Sweden) were surprised to find out that Einstein’s general theory of relativity predicts that in certain circumstances the centrifugal force may be directed toward, not away from the center of a circular motion.    If an astronaut came close to some extremely massive and compact object, such as a black hole, the astronaut would feel a centrifugal force pushing inward, not outward.    This inward push would increase if the orbital speed is increased.
    Albert Einstein predicted in 1915, a gravitational field warps space and bends light rays.    In 1919 Sir Arthur Stanley Eddington confirmed this prediction by measuring the minute deflection of rays passing close to the sun.    The gravitational field of the sun will bend a light ray less than one thousandth of a degree if the ray grazes the surface.    Therefore a black hole can deflect light to a greater extent.

    November 9, 1995    A black hole?    Hubble watches.    The Hubble Space Telescope was aimed at an ancient globular cluster known to astronomers as M15, and which appears to earthbound telescopes as simply a blur of light.    It is believed to be a black hole formed early in the cluster’s history, gradually gaining mass as more stars spiraled inward (several thousand times more massive than our sun).    The area is about 37,000 light years away, in the constellation Pegasus.    In the vacuum of space, light travels 5.88 trillion miles in one year.

    Astronomers have gathered enough evidence to convince most that black holes must really exist.    A black hole traps forever any radiation or matter that gets too close to it.    This point of no return defines the size of the black hole, or its gravitational radius.    A black hole with the same mass as our sun would have a gravitational radius of about three kilometers.    If a light ray travels parallel to the surface of the black hole at a distance equal to three times the gravitational radius, it will be bent by about 45 degrees.    At 1.5 times the radius, it will orbit the black hole in a perfect circle.    The existence of the circular light ray is a key element in the centrifugal force paradox.

    A complicated formula derived from the general theory of relativity yielded a prediction about what force an object would feel if it orbited around a black hole along the same path as a circular light ray.    The formula implied that no matter how fast the object moved, it would always feel exactly the same total force pushing inward.    A motionless object would feel exactly the same inward force as a projectile that traveled around the circle at almost the speed of light.
    According to elementary dynamics, the centrifugal force depends on the orbital speed, whereas gravitational force does not.    Therefore, the total force - which is just the sum of the centrifugal and gravitational forces - must also depend on the orbital speed.    After rechecking all calculations of the formula and finding no mistakes, confirming the results of the prediction about how matter behaves when traveling along the path of a circular light ray.

Centrifugal Forces Near a Black Hole

    In a space station built around a black hole, such that the station is a circular tube centered exactly on the path of the circular ray so that the axis of the tube and the path of the ray coincide.    The astronauts know that the axis of the tube is circular because they have measured the curvature of the walls along the length of the tube using straight rulers.    Yet because of the bending of the light rays they see the tube as perfectly straight!
    If one hung a lamp in the center of the tube, no matter how far you walked along the tube, the lamp would still appear in the center, and it is never obscured from view by the bend of the tube.    In theory you could see the lamp in front of you as well as behind you.    It is also possible to see multiple images of the lamp.    One might conclude that the tube is straight, and would not expect any centrifugal effects to act on objects moving inside the tube.    Therefore one would deduce that the centrifugal force should be zero.
    Three tubes built around a black hole would appear circular to a distant observer but would not necessarily appear that way to someone inside the tubes.
    The first tube (a) is far away from the black hole, where light rays travel in nearly straight lines.    Both observers would see the tube curve around the black hole, and both would predict correctly that an object traveling within the tube would be pushed outward, away from the black hole, by the centrifugal force.    A gyroscope traveling within the tube will precess as a result of the centrifugal force.
    The second tube (b) is constructed around a region of space where light rays are bent in perfect circles by the gravitational field of the black hole.    Because the light bends, the observer inside the tube would see it as perfectly straight and would correctly predict that there should be no centrifugal force.
    The third tube (c) is very close to the black hole.    Light rays are curved so much that the tube appears to curve away from the black hole.    The observer inside the tube would now correctly predict that the centrifugal force would push an object inward, toward the black hole, and would cause the gyroscope to precess.

    Regarding the relativity theory in 1985 Brandon Carter of the Paris Observatory realized that if an object moves at a constant speed along the path of any light ray - circular, curved or straight - the force that keeps the object on course does not depend on how fast the object is moving.
    If an object traveled at constant speed along the path of a light ray that was curved by some gravitational field, the object would behave as if it were traveling in a straight line.    This is correct so long as the associated gravitational field did not change over time.    We developed the concept of optical geometry, a framework for understanding the dynamic behavior of objects in strong gravitational fields.    Optical geometry depends on measurements made using light signals.
    In conventional geometry, one can measure the length of a curve by counting how many rulers fit along a curve.    The distance between two points in space can then be defined as the length of the shortest curve between them, known as a geodesic.    If one makes measurements in a flat space, free from gravitational fields, the shortest curve, or geodesic, between two points is just a straight line.
    In optical geometry the distance between two points in space is defined as half of the time it takes for light to travel from one point to the other and back.
    According to Einstein’s general theory of relativity, the three dimensions of space and the one dimension of time together form a four-dimensional space-time.    In any space-time, with or without a gravitational field, light always moves along geodesics, and therefore it always traces the geometry of space-time.    In the space warped by a gravitational field the light rays are curved and do not coincide with geodesics.    Therefore in the general case, the geometry of space is not traced by light rays.
    Although light propagation and dynamics are not connected in conventional geometry of space, they are connected in optical geometry, as a rescaling mathematical procedure often used in the theory of relativity, known as a conformal transformation.    The rescaling straightens the curved light rays, and so they appear as geodesics in optical geometry.    This allows the isolation of technicalities imposed by the curvature of space so that one can concentrate on the basic physical issues.    This type of conformal transformation allows us to understand dynamics in curved spaces, seeing is believing, which explains the paradoxical behavior of objects moving along the path of the circular light ray.
    Malcolm Anderson and Jose P. S. Lemos demonstrated that if a cloud of gas travels in orbit very close to a black hole, the viscous stresses in the cloud transfer angular momentum inward.    Ordinarily viscous stresses transfer angular momentum outward.    This helps to explain how a cloud of gas (known as an accretion disk) orbiting a central black hole supplies the energy that powers the active nuclei of some galaxies.    The viscous stress tends to make the rotation of the accretion disk more rigid, thereby slowing down the rapidly rotating inner part of the disk and speeding up the slowly rotating outer part.    In this way the angular momentum is carried outward.
    Optical geometry suggest that the space close to the black hole is turned inside out.    The outward direction of straight rulers is different than the outward direction defined by light rays.    Success has been found involving the behavior of rotating matter in very strong gravitational fields.    The two most important problems are the gravitational collapse of rotating stars and the coalescence of two extremely dense objects known as neutron stars.
    In 1974, Subrahmanyan Chandrasekhar of the University of Chicago and Miller, found that, according to Einstein’s theory, in the late stages of the contraction, when the gravitational field is very strong, the increase in flattening ceases and the rotating star becomes more spherical.    The explanation for this is found in optical geometry in the unusual behavior of the centrifugal force in the strong gravitational field.
    Two spaceships that travel in the same orbit around a black hole.    Each craft carries a gyroscope and a weight that hangs on a spring.    By measuring its length, each can determine the tension in the spring.    The tension equals the sum of the two forces acting on the weight: the gravitational force and the centrifugal force.
    If one ship comes to a halt, it’s gyroscope does not precess, and they can conclude that the force stretching the spring is the gravitational force alone.    Then this result is communicated to the other spacecraft, which continues to speed around the black hole on the same orbit.    They measure the total force that stretches their spring and finds the centrifugal force by subtracting the gravitational force that the first craft measured.    This would be true in both weak and strong gravitational fields.
    Optical geometry tries to show that “inward” and “outward” are not absolute concepts; they are relative in spaces warped by strong gravitational fields.    We understand that left and right, as well as up and down, are relative.

    Recent news about black holes:


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Age of the Universe.



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Quark-gluon plasma quest.

Scientific American March 1993 page 32-34
Quark Quest - Have all six flavors finally been observed?

    Beauty, also known as the bottom quark, was discovered two decades ago, but truth, the top quark, cannot be found anywhere in the cosmos, except at Fermi National Accelerator Laboratory in Batavia, Ill.    A discovery of the top quark, would require five to 20 events in each of several decay modes.
    Top remains the only one of the six quarks whose existence has not been confirmed.    Most matter - proton and neutrons - is made up of quarks known as up and down.    Other flavors - strange, charm and bottom - can be produced only in particle accelerators and perhaps in dense, massive stars.    Top, if it exists, has probably not made an appearance since the hot, explosive birth of the universe.
    Steven Weinberg of the University of Texas believes the top quark exists and that we know its mass within a certain range.    The top quark should provide the clue as to why all particles have the masses they do.    Physicists are puzzled about why every fundamental particle has two siblings that are the same in every way except for their mass.    For example: the bottom quark responds to weak, strong and electromagnetic forces in very much the same way as the strange and down quarks, yet bottom is 25 times more massive than strange and 700 times heavier than down.
    To explain why some particles have more mass than others, physicists have devised several theories, the simplest of which is the Higgs mechanism.    Just as the electric charge of a particle says something about how strongly it interacts with electromagnetic fields, the mass of a particle is related to how strongly it couples to the so-called Higgs field, according to theory.    Such a field would manifest itself as a new type of particle, the Higgs boson.
    The bottom quark has been hard to find because it is heavy, at least as massive as a silver atom, and more than 20,000 times heavier than an up quark.    Producing massive particles by smashing protons together with their antimatter counterparts can release 1.8 trillion electron volts of energy, which may or may not be enough energy to generate top quarks.    Top quarks also elude detection because it is extremely unstable, with a life of a millionth of a billionth of a billionth of a second, which disintegrates into detectable secondary particles.


    Physicists at Fermilab detected, in 1989, an event consisting of an electron, a muon and many jet particles. So recently they believed they have detected it again.    The event could represent the decay of a top quark and its antimatter partner (antitop quark).    Each of these two particles decays into a bottom quark and a particle called W, associated with conveying weak force.    The bottom quark then disintegrates, producing jets of particles.    The W particle decays into either an electron or its sibling, a muon.

    The missing link - the top quark, an elusive subatomic particle that existed for a billionth of a second at the beginning of time, has been sought for 17 years as the missing link in the Standard Model, a framework of 12 particles thought to form all matter.
    The Structure of Matter - in the center of the atom is a nucleus, which consists of particles such as protons and neutrons, which are composed of triplets of quarks. A proton may consist of two up quarks and one down quark.    A proton and antiproton collide in the Fermilab accelerator, where a top quark is created from the energy produced.

Particles in the Standard Model

Mass shown is measured in billions of electron volts

Quarks are particles bound together by the strong interaction.

Leptons are particles not subject to strong interactions



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Higgs Field.

    Over the past few decades, particle physicist have developed the theoretical Standard Model, which provides a framework to understand the fundamental particles and forces of nature.
    One hypothesis in this model is the quantum field, which is supposed to be responsible for giving particles their masses, why they have the masses they do or any mass at all, as if the universe is permeated by an undetectable form of energy and this field is called the Higgs field.    The Higgs field gives all other particles a mass, every particle in our universe swims through this field, particles with no mass do not feel or interact with this field, only those with mass.    This field is not considered a force, it cannot accelerate particles, nor can it transfer energy.    A consequence of wave-particle duality, is that all quantum fields have a fundamental particle associated with them, so the particle associated with the Higgs field is called the Higgs boson, nicknamed the "God particle" by some.
    Since the Higgs field would be responsible for mass, thus the fact that the particles do have mass indicated the existence of the Higgs field.    Thus the assumption that the Higgs boson exists, based on the effect it would have on the properties of other particles and fields.    The Higgs boson is a particle, it gets its mass like all other particles, by interacting with the Higgs field.    The Higgs boson does interact with all other kind of particles and may be the mediating particle that gives the mass to particles.    it is not a stable particle and can be created in collisions, but will decay eventually.    This particle prefers to interact with the heaviest elementary particles, especially the top quark (about the mass of a Gold atom), which was discovered at Fermilab in 1995.    Neutrinos, the lightest particles with almost zero mass, barely interact with a Higgs boson.   

    The Standard Model describes three types of forces:
    Since the 1970s, we have come to understand the strong and weak forces almost equally well as the electromagnetic force.    High-energy experiments at CERN, the European laboratory for particle physics, near Geneva and at the Stanford Linear Accelerator Center (SLAC), physicists have made precision tests of the Standard Model.    The Standard Model does not describe the fourth force, gravity.
    As we stated the Higgs particle is connected with the weak force, and modern theory of weak interactions describes particles (the W and Z particles) interacting with electrons, neutrinos, quarks and other particles.
    We know the photon has no mass at all, or that it can be no more massive than a thousand-billionth-billionth-billionth (10-30) the mass of an electron, theoretically exactly zero mass.    The W and Z particles, however, would have enormous masses: more than 80 times the mass of a proton, which makes it a puzzle.    The inconsistency occurs in that two high energy particle would probably never collide with one another, leaving the conclusion there must be additional particles.    The simplest models that explain the masses of the W and Z have only one such particle: the Higgs boson.    Other proposals suggest there may be several Higgs bosons, entirely new types of strong interactions and a possible new fundamental physical symmetry, called supersymmetry.
    The U.S. Congress in 1993 set progress for discovery of the Higgs boson.    The large accelerator in Geneva known as LEP (the Large Electron Positron collider), accelerates electrons and their antimatter twins (positrons) to very high energies, then allows them to collide.     If it is found the Higgs boson would decay into a b quark and a b antiquark.    If not found and the Higgs bosons have larger masses, they might be unveiled at the Fermi National Accelerator Laboratory in Batavia, Ill, by 2000.   
    Also a new accelerator, LHC (the Large Hadron Collider), is scheduled to start operation at CERN in 2005.    It is hoped that they will uncover what hides the symmetry between the weak and electromagnetic interations, by studying collisions among quarks at energies approaching 1 TeV, or a trillion (1012) electron volts.    This will determine the mechanism by which the electroweak symmetry is hidden and possibly show us what makes the W and Z particles massive.
    The Higgs boson is hypothetical and has not been observed, and as an agent that hides electroweak symmetry as British physicist Peter Higgs determined in the 1960s, that the giver of mass is a neutral particle with zero spin.    Today's version of the electroweak theory, the W and Z particles and quarks and leptons all get their masses by interacting with the Higgs boson.    The Higgs boson must weigh more than about 60 billion electron volts (GeV), or 0.06 TeV and less than 1 TeV.


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Large Hadron Collider history, new results 2010, What it might find, and String Theory's future.

    The Large Hadron Collider (LHC) built by the European Organization for Nuclear Research (CERN), is the world's largest and highest-energy particle accelerator, intended to collide opposing particle beams of either protons at energy of 7 TeV per particle, or lead nuclei at energy of 574 TeV per nucleus.    It is expected that it will address the most fundamental questions of physics to help in understanding the deepest laws of nature.    The LHC lies in a tunnel 27 kilometers (17 mi) in circumference, as much as 175 meters (570 ft) beneath the Franco-Swiss border near Geneva, Switzerland.
    The LHC will test various predictions of high-energy physics, including the existence of the hypothesized Higgs boson and of the large family of new particles predicted by supersymmetry.
    On September 10th 2008, the proton beams were successfully circulated in the main ring of the LHC for the first time.
    On September 19th 2008, the operations were halted due to a serious fault between two superconducting bending magnets.    Repairing the resulting damage and installing additional safety features took over a year.
    On November 20th 2009 the proton beams were successfully circulated again.    Three days later the machine recorded its first proton-proton collisions.
    On November 23rd 2009, the first proton–proton collisions were recorded, at the injection energy of 450 GeV per particle.    A total of 284 collisions were recorded by the ALICE experiment and immediately reconstructed and analyzed, and determined the average number of charged particles emitted perpendicular to the beam direction, known as 'pseudorapidity density.'    Their aim was to compare their results with previous measurements of proton-antiproton collisions at the same energy, and to establish a reference for comparison with future measurements at higher LHC energies.    The results were released on Dec. 15, 2009.
    And on Nov. 30th it set a new world record when it accelerated two beams of protons to a total energy of 2.36 trillion electron volts.
    On December 18th 2009 the LHC was shut down after its initial commissioning run, which achieved proton collision energies of 2.36 TeV, with multiple bunches of protons circulating for several hours and data from over one million proton-proton collisions.
    The LHC resumed operations in February 2010, but it will operate at only half of the design collision energy.
    In 2012 it will be shut down for the repairs necessary to bring it to its full design energy, and then it will start up again in 2013.

Purpose.

    What they are looking for:

Design.
Feynman diagram of one way the Higgs boson may be produced at the LHC.
Here, two quarks each emit a W or Z boson, which combine to make a neutral Higgs.

    The collider tunnel contains two adjacent parallel beam pipes that intersect at four points, each containing a proton beam, which travels in opposite directions around the ring.    Some 1,232 dipole magnets keep the beams on their circular path, while an additional 392 quadrupole magnets are used to keep the beams focused, in order to maximize the chances of interaction between the particles in the four intersection points, where the two beams will cross.    In total, over 1,600 superconducting magnets are installed, with most weighing over 27 tonnes.    Approximately 96 tonnes of liquid helium is needed to keep the magnets at their operating temperature of 1.9 K (-271.25 °C), making the LHC the largest cryogenic facility in the world at liquid helium temperature.
    Once or twice a day, as the protons are accelerated from 450 GeV to 7 TeV, the field of the superconducting dipole magnets will be increased from 0.54 to 8.3 teslas (T).    The protons will each have an energy of 7 TeV, giving a total collision energy of 14 TeV.    At this energy the protons have a Lorentz factor of about 7,500 and move at about 99.9999991% of the speed of light.    It will take less than 90 microseconds for a proton to travel once around the main ring – a speed of about 11,000 revolutions per second.    Rather than continuous beams, the protons will be bunched together, into 2,808 bunches, so that interactions between the two beams will take place at discrete intervals never shorter than 25 nanoseconds apart.    However it will be operated with fewer bunches when it is first commissioned, giving it a bunch crossing interval of 75 ns.
    Prior to being injected into the main accelerator, the particles are prepared by a series of systems that successively increase their energy.    The first system is the linear particle accelerator LINAC 2 generating 50-MeV protons, which feeds the Proton Synchrotron Booster (PSB).    There the protons are accelerated to 1.4 GeV and injected into the Proton Synchrotron (PS), where they are accelerated to 26 GeV.    Finally the Super Proton Synchrotron (SPS) is used to further increase their energy to 450 GeV before they are at last injected (over a period of 20 minutes) into the main ring.    Here the proton bunches are accumulated, accelerated (over a period of 20 minutes) to their peak 7-TeV energy, and finally circulated for 10 to 24 hours while collisions occur at the four intersection points.

    CMS detector for LHC
    The LHC physics program is mainly based on proton–proton collisions.    However, shorter running periods, typically one month per year, with heavy-ion collisions are included in the program.    While lighter ions are considered as well, the baseline scheme deals with lead ions.    The lead ions will be first accelerated by the linear accelerator LINAC 3, and the Low-Energy Ion Ring (LEIR) will be used as an ion storage and cooler unit.    The ions then will be further accelerated by the PS and SPS before being injected into LHC ring, where they will reach an energy of 2.76 TeV per nucleon (or 575 TeV per ion), higher than the energies reached by the Relativistic Heavy Ion Collider.    The aim of the heavy-ion program is to investigate quark–gluon plasma, which existed in the early universe.

    Detectors
    Six detectors have been constructed at the LHC, located underground in large caverns excavated at the LHC's intersection points.    Two of them, the ATLAS experiment and the Compact Muon Solenoid (CMS), are large, general purpose particle detectors.    A Large Ion Collider Experiment (ALICE) and LHCb have more specific roles and the last two TOTEM and LHCf are very much smaller and are for very specialized research.


Summary of the main detectors is:

    Expected results
    CERN scientists estimate that if the Standard Model is correct, a single Higgs boson may be produced every few hours.    At this rate, it may take about two to three years to collect enough data to discover the Higgs boson unambiguously.    Similarly, it may take one year or more before sufficient results concerning supersymmetric particles have been gathered to draw meaningful conclusions.

    Current Results
    The first p-p collisions at energies higher than Fermilab's Tevatron p-pbar collisions have been published on arXiv, yielding greater-than-predicted charged hadron production.    The CMS paper reports that the increase in the production rate of charged hadrons when the center-of-mass energy goes from 0.9 TeV to 2.36 TeV exceeds the predictions of the theoretical models used in the analysis, with the excess ranging from 10% to 14%, depending upon which model is used.    The charged hadrons were primarily mesons (kaons and pions).
    In Jan. 2010, Soeren Prell, an Iowa State associate professor of physics and astronomy, has been looking at the first data recorded with the ATLAS experiment's silicon pixel detector.    The pixel detector is the innermost part of ATLAS, one of two giant, general purpose detectors at the collider.    ATLAS will measure the paths, energies and identities of the particles created when protons or lead ions collide at unprecedented energies.    The pixel detector uses 80 million pixels to make precise measurements as close to the particle collisions as possible.
    Prell said the pixel detector is already sending physicists fairly clean data with very little background noise.    But, he said, physicists still have to work to make sure the pixel detector is properly aligned and calibrated.    It has a resolution down to 10 millionths of a meter and so it has to be just as precisely aligned.
    That could include the Higgs boson, a particle predicted by the Standard Model of particle physics.    The model theorizes that space is filled with a Higgs field and particles acquire their masses by interacting with the field.    Detection and study of the Higgs could answer basic questions about why matter has mass and how particles acquire mass.
    The Large Hadron Collider could answer big physics questions about matter and antimatter, dark matter, supersymmetry, extra dimensions, a grand unified theory or perhaps something entirely unexpected.
    As reported in Sept. 8, 2008, Scientists working on the DZero particle detector experiment, including physicists from Imperial College London, have for the first time successfully observed pairs of Z bosons at the Tevatron.    Pair production of these force carrying particles is extremely rare and difficult to detect, and researchers say that having observed them represents a big step towards observing the Higgs boson itself.
    Then just a week after spotting the Z boson pairs, DZero scientists, along with colleagues from the CDF collaboration at the Tevatron, were able to rule out the possibility of the Higgs boson having a mass of around 170GeV/c2 – a value which lies in the mass range scientists believe the Higgs may have.    This is the first time that any experiment in the world has ruled out potential values for the mass of the Higgs boson since the Large Electron -Positron Collider at CERN proved that the Higgs could not have a mass of less than 114GeV/c2 in 2000.
    Dr Gavin Davies from Imperial's Department of Physics, co-leader of the Higgs hunting group on the DZero experiment, explains: "We now know that the Higgs boson does not have a mass of 170GeV/c2.    If it did have this mass, then we should have seen evidence for it at the Tevatron by now.    Ruling out possible masses of the Higgs is a very important part of the hunt for this elusive particle."
    The Standard Model of particle physics predicts the existence of a particle, known as the Higgs boson, which gives mass to other particles.    Currently, the mechanism by which particles acquire different mass values is unknown, and finding evidence for the existence of the Higgs boson would solve this fundamental mystery of nature.
    The first of the Tevatron results, where pairs of Z bosons were observed, is a big step towards finding the Higgs boson because the pairs' experimental signature and characteristics are similar to those that would be seen if the Higgs was produced.    In addition, the analysis methods and techniques used to find the Z bosons pairs are similar to those for finding the Higgs too.
    So the Tevatron scientists have proven that their observation methods work, and that they are capable of observing very rare processes like those required to produce the Higgs.
    Creating the experimental conditions in which the Higgs boson could be observed is extremely difficult.    It requires very powerful particle collisions, and super-sensitive detectors to record the results of the collisions.    To find the pairs of Z bosons, the DZero detector had to search through nearly 200 trillion particle collisions.
    Dr Davies says that the results from the Tevatron signal the start of a new exciting phase of Higgs physics: "The observation of the very rare ZZ process is a real stepping stone to the Higgs.    Following this with the first direct Higgs mass exclusion since 2000 is tremendously exciting."
    "It shows that the Tevatron experiments are very much in the race for finding the Higgs," he added.    DZero is an international experiment conducted by around 600 physicists from 90 institutions in 18 different countries.    Currently around 10 Imperial physicists are involved with the experiment, based either full or part time at Fermilab.
    This autumn the Large Hadron Collider (LHC) particle accelerator at CERN in Switzerland will be switched on to perform particle collisions at even higher energies than the Tevatron.    Observing the Higgs boson is also a key goal for the detector experiments at CERN.    A large cohort of Imperial physicists are working on the LHC detectors, including Professors Tejinder Virdee and Andrei Golutvin, who are lead scientists on the CMS and LHCb detectors respectively.

Scientists based at Fermilab have made important new discoveries that take them closer to finding the Higgs boson.    (Credit: Image courtesy of Imperial College London).    The "extra" particles may make spotting the Higgs boson harder

    February 2010 - High-energy Large Hadron Collider results published, by Jason Palmer, Science and technology reporter, BBC News.
Particle particulars
    That makes the new results a unique look at the field of high-energy physics.    The experiments, smashing protons into each other, produced a few more subatomic particles known as pions and kaons than the team was expecting.
    Gunther Roland, a CMS collaboration scientist from the Massachusetts Institute of Technology, said that the "extra" particles will be more of an issue when, later in 2010, the LHC dedicates itself to collisions involving ions of the element lead, a markedly heavier pair of targets resulting in an even larger array of particles on impact.    We'll know much more about that in two or three months when we look at the next higher energy of 7 TeV (trillion electron volts)."

    February 08, 2010 - Atom-smashing Large Hadron Collider may reveal mystery particle, from correspondents in Geneva and Reuters.
    SCIENTISTS operating the "Big Bang" particle collider at CERN could solve the mystery of what gives mass to matter during a nearly two-year non-stop run lasting until late 2011, a spokesman said last week.
    James Gillies said the long-sought but elusive Higgs Boson particle (named after Scots physicist Peter Higgs three decades ago) could well appear during the extended experiment after the world's biggest and most expensive scientific machine is turned on again later this month and the billions of collisions, each creating conditions that existed a minute fraction of a second after the "Big Bang" when the universe began 13.7 billion years ago.    The matter spewed out by the primeval explosion eventually produced the stars, planets and life on Earth - but the Higgs theory says this was only possible if something like the Boson brought matter together, giving it mass.
    The LHC has achieved energy up to 2.36 tera-electron volts (TeV), the highest ever achieved, and is planned to go up to 7 TeV gradually.    Toward the end of next year, the collider will be closed down again for up to 12 months, allowing engineers to prepare the tunnel and the huge amount of equipment there for collisions at 14 TeV in the following run, probably starting in 2013.

    Feb. 16, 2010 - Quark Soup - Physicists create conditions not seen since the big bang, by Sharon Begley, NEWSWEEK's science editor.
    While the Large Hadron Collider rumors spread that it might create a mini black hole and swallow up the Earth, a lesser-known particle collider has been quietly making soup—quark soup.    The top quark was discovered in an experiment at Fermilab in 1995, everyone knew this last of the six quarks existed, a discovery that led the way to new revelations about the creation and evolution of the universe.
    Quark soup was last seen when the universe was 1 microsecond old.    The Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Lab on New York's Long Island, which smashes together gold ions traveling at nearly the speed of light, resulting in the collisions a tiny region of space so hot—4 trillion degrees Celsius—that protons and neutrons melt into a plasma of their constituent quarks and gluons.    The soup is 250,000 times hotter than the center of the sun, 40 times hotter than a typical supernova, and the hottest temperature in the universe today.    What kind of thermometer is used to measure a 4-trillion-degree soup, it is color: by analyzing the energy distribution (color) of light emitted from the soup, scientists can infer its temperature much as they infer the temperatures of stars or even of a glowing andiron.
    Quark-gluon plasma existed was 13.7 billion years ago, when the universe burst into existence in the big bang.    By creating it in a lab for the first time, the RHIC teams have given a chance to study how the cosmos came to evolve into the riot of galaxies and nebulae that we see today.    The quark soup created at RHIC lasts not even 1 billionth of a trillionth of a second, and surprises when the quarks and gluons in the soup were expected to behave independently, instead they behave cooperatively, almost like synchronized swimmers.
    The behavior that intrigued the scientists is something called broken symmetry.    Within the quark soup appear "bubbles" that violate a principle of physics called mirror symmetry, or parity.    This form of symmetry means the collisions of particles and the spray of subatomic debris look the same if viewed in a mirror as they do when viewed directly.    But one of the detectors monitoring the collisions inside RHIC observed an asymmetry in the electric charges of particles emerging from most of the collisions.    Specifically, positively charged quarks seem to prefer to fly out of the collision parallel to the magnetic field, while negatively charged quarks prefer to emerge in the opposite direction.    This behavior would appear reversed if reflected in a mirror, with negative quarks traveling parallel to the magnetic field and positive quarks traveling in the opposite direction.    Hence the violation of mirror symmetry.
    The quark soup also seems to contain bubbles that violate another form of symmetry, called charge-parity invariance.    When energy is converted to mass or vice versa as per Einstein's E=mc2, equal numbers of particles and antiparticles—matter and antimatter—are created or annihilated, respectively.    That may hold the key to how structure and form emerged from the otherwise homogeneous quark soup.    Such symmetry-violating bubbles in the nascent universe, cosmologists suspect, tipped balance in the equal amounts of matter and antimatter toward a preference for matter over antimatter.    If the amounts of matter and antimatter had remained identical, no one would be here to notice as they go poof in an annihilating burst of energy.    After almost 14 billion years after creation, every particle of matter would have been destroyed through this process, leaving a universe in radiation and nothing else, a glowing world of light without substance.    By re-creating these conditions, says Steven Vigdor, Brookhaven's associate laboratory director for nuclear and particle physics, "RHIC may have a unique opportunity to test in the laboratory some crucial features of symmetry-altering bubbles speculated to have played important roles in the evolution of the infant universe."
    What RHIC found Vigdor said is "consistent with predictions of symmetry-breaking domains in hot quark matter, and confirmation of this effect and understanding how these domains of broken symmetry form … may help scientists understand some of the most fundamental puzzles of the universe."

STRING THEORY for LHC
February 2007 - New particle accelerator could rule out string theory, by David Shiga.
    String theory could be ruled out by experiments at the Large Hadron Collider (LHC), a particle accelerator scheduled to open by the end of 2007, a new study says.    The finding offers a new approach for testing this potential "theory of everything," a goal that has so far proven elusive.
    According to string theory, particles like electrons and photons are actually tiny, vibrating strings, and it accounts for all of the known forces - including gravity, which the standard model of physics does not.    But its critics have complained that there is essentially no way to test it.
    Strong evidence for string theory could come from the observation of short-lived, mini black holes at the LHC, a chance which is extremely small.    This aspect of brane-world models is that gravity can become strong well below the Planck scale — even at LHC energies.    Thus if you collide particles together in just the right way, you could make a black hole!    It is unlikely that black holes will be produced, even if gravity does become strong, and if you did they will quickly evaporate away.    Not a good way to test any particular theory.    If they do create Stable Black Holes is there a chance that it would eat up the Earth, destroying all living organisms in the process?
    In 2006, string theorist Allan Adams of MIT in Cambridge, US, and others offered a more promising check.    They showed that some particle collisions could reveal whether certain fundamental assumptions underlying string theory are wrong.
    Jacques Distler of the University of Texas in Austin, U.S., and his team has shown that the energies needed to reveal such effects are achievable at the LHC.
High energies
    One of string theory's assumptions comes from Einstein's theory of relativity - that the speed of light is the same for all observers, a principle called Lorentz invariance.
    This principle - and three others underlying string theory - determine how strongly particles called W bosons, which transmit the weak nuclear force, interact.
    If these interactions are below the strength calculated by Distler's team, it would signal that one of the assumptions built into string theory is incorrect and that therefore string theory itself is wrong, the researchers say.
    "They did a very important thing," Adams told New Scientist.
Quantized space
    If string theory does seem to be ruled out, physicists will have to find another theory of everything that can explain the LHC observations.    "If we see these violations, people will start working very feverishly on some sort of alternative that will produce these violations," Distler told New Scientist.
    That alternative may turn out to be a theory called loop quantum gravity, which posits that space itself is quantized into tiny chunks.    Some physicists argue that loop quantum gravity does not satisfy Lorentz invariance.    "So that's one possible direction people might go," Distler says.
    Although the test could in principle rule out string theory if violations are found, both Distler and Adams suspect that the results will turn out to respect the four assumptions, leaving string theory as a viable candidate for the theory of everything.

May 9, 2009 - Colliding with nature's best-kept secrets, By Elizabeth Landau.
(CNN) -- Visiting a particle accelerator is like a religious experience, at least for Nima Arkani-Hamed.

Nima Arkani-Hamed, a leading theoretical physicist, thinks the universe has at least 11 dimensions.

    Immense detectors surround the areas where inconceivably small particles slam into one another at super-high energies, collisions that may confirm Arkani-Hamed's predictions about undiscovered properties of nature.
    Arkani-Hamed is only in his mid-30s, but he has distinguished himself as one of the leading thinkers in the field of particle physics.
    His revolutionary ideas about the way the universe works will finally be put to the test this year at Switzerland's Large Hadron Collider, which cost between $5 billion and $10 billion, could provide answers to questions physicists have had for decades.    If the results confirm any of Arkani-Hamed's predictions, they would be the first extension of our notions of space-time since Albert Einstein.
    Regarded as a "gem," Arkani-Hamed is "opening our minds and creating a new world of ideas that challenge deep-grained preconceptions about spacetime," said Chris Tully, professor of physics at Princeton University, who is working on the Compact Muon Solenoid experiment at the Large Hadron Collider.
    Chris Tully, formerly a professor at Harvard, Arkani-Hamed currently sits on the faculty at the prestigious Institute for Advanced Study in Princeton, New Jersey, where Einstein served from 1933 until his death in 1955.    "He was lured from Harvard to the IAS; I'm sure that's considered quite a coup," said Daniel Marlow, a physics professor at Princeton who is also collaborating on the CMS experiment.
    Arkani-Hamed has had a hand in explaining how the world can operate according to Einstein's theory of general relativity, which describes the universe on a very large scale, and at the same time follow quantum mechanics, laws that describe the universe on a scale smaller than the eye can see.
    Some of the key mysteries that stem from these clashing theories include why gravity is so weak, relative to the other fundamental physical forces such as electromagnetism and why the universe is so large.    These issues come up because on an inconceivably small scale, the particles that make up our world seem to behave completely differently than one might imagine.    For example, if you are driving a car, your GPS tells you where you are, and your speedometer tells you how fast you are moving.    But on the scale of particles like electrons, it is impossible to know both position and speed at once; the very act of trying to find out requires incredible amounts of energy.
    If it takes so much energy just to try to pin down a particle, then, in theory, all particles should have temporary energy changes around them called "quantum fluctuations."    This energy translates into mass, since Einstein famously said that mass and energy are interchangeable through the equation E=mc2.
    "It makes it extremely mysterious that the electron, or indeed, everything else that we know and love and are made of, isn't incredibly more massive than it is," Arkani-Hamed said.    A theory that has emerged in recent decades that claims to bring some relief to physics mysteries like these is called superstring theory, or string theory for short.    Previously, scientists believed that the smallest, most indivisible building blocks of our world were particles, but string theory says the world is made of extremely small vibrating loops called strings.    In order for these strings to properly constitute our universe, they must vibrate in 11 dimensions.    Everyone observes three spatial dimensions and one for time, but theoretical models suggest at least seven others that we do not see.
    Arkani-Hamed proposed, along with physicists Savas Dimopoulos and Gia Dvali, that some of these dimensions are larger than previously thought -- specifically, as large as a millimeter.    Physicists call this the ADD model, after the first initials of the authors' last names.    We haven't seen these extra dimensions because gravity is the only force that can wander around them, Arkani-Hamed said.
    But Arkani-Hamed says the Large Hadron Collider could lead to the direct observation of strings, or at least indirect evidence of their existence.    The Large Hadron Collider may detect particles slipping in and out of the dimensions that Arkani-Hamed has worked on describing.
    Data reflecting Arkani-Hamed's work on large extra dimensions "would really provide the first confirmation in this very profound way we might think about nature," Marlow said.    Arkani-Hamed always had a great love of the natural world as a child.    He remembers being impressed around age 14 that Newton's laws could enable him to calculate such things as the minimum speed that a space shuttle had to attain to escape the Earth's gravitational field.

    What will the new Large Hadron Collider at CERN have to say about string theory, the alleged theory of everything that describes nature as composed of tiny wriggling strings?
    String theorists hope that it will confirm supersymmetry, a notion that doubles the kinds of particles in the universe, and was originally invented as part of string theory, thus its discovery would not prove their case.
    To test string theory directly, experimenters would have to build an accelerator to boost particles to the so-called Planck energy, at which “stringy” effects are expected to show up, roughly 10 quadrillion trillion electron volts, a quadrillion times the energy of the new hadron collider, which will accelerate protons to energies of seven trillion electron volts before smashing them together.
    String theory’s hope for the new collider rests on a variant of the theory in which gravity is not weaker than the other forces but has just been diluted by extra dimensions of space.    In that case, the new collider could produce black holes or bounce particles into other dimensions.
    What else could LHC Find?

    March 24, 2010 - Atom smasher, by AP.
    Geneva - Operators of the world's largest atom smasher said they will try in a week to collide proton beams at record high energy in a new bid to discover secrets of the universe.    CERN says beams have been circulating in the LHC at 3.5 trillion electron volts since Friday, 3 1/2 times higher than the record set late last year.    The operators will attempt to collide the beams next Tuesday.

    March 30, 2010 - New era of smashing atoms eyed, by AP.
    Geneva - THe LHC is ready to start a new era of science, colliding beams of protons to learn more about the makeup of the universe and its smallest particles.

    March 31, 2010 - Geneva atom smasher sets high-energy collison record, by AP.
    Geneva - The LHC conducted its first experiments at conditions nearing those after the Big Bang, breaking its own record for high-energy collisions.    They will study the disintegrating protons after they collided at a combined energy level of 7 trillion electron volts.    Scientist erupted with applause when the first successful collisions were confirmed.

    Enough talk lets see some results for the $10 billion someone spent.

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Other Subjects Of Physics and Cosmology.

Volume III Cosmology Images For Neutrino Study
Newtonian Cosmology - Density of matter in the Universe - The lambda term and the Einstein Universe - the Expanding Universe - The Doppler Effect - The recession of galaxies - The de Sitter universe - The Friedmann Models - Einstein-de sitter model - The radiation Universe - The Eddington-Lemaitre model - element synthesis in the hot big bang - The Steady-State theory - The perfect cosmological principle (PCP) - The continous creation of matter - The C-field - The electromagnetic field - Other Cosmological Models

Emc2 Equations Images For Neutrino Study
Lorentz-FitGerald Contraction - equivalence between mass energy - Einstein's Theory of Relativity 1905 - Mass-Energy Equivalence - mass-energy relation - Relative Time - FitzGerald ration - time dilation - clock paradox - General Theory of Relativity in 1915 - twin paradox - space-time - Fourth Dimension - Gravitation - Space-time is the four-dimensional analogy - curved space - red shift - Mossbauer effect - The General theory of 1916 - effects of gravity on space - Equation (Unified Field Theory) - Velocity of Light - Colors and wavelengths - Thermal Conductivity - Gravitational Constant - Plannck's constant

Gravitation Equations Images For Neutrino Study
What is Gravitation? - Newtonian gravitation - Negative Energy - Energy Transport - Energy transfer in Newtonian gravitation - The Tidal Phenomenon - Gravitational collapse - Newtonian gravitational collapse - Einstein's General Theory of Relativity - Theory of Gravitation - non-Euclidean geometry - The Bending of Light - Gravitational red-shift - Gravitational collapse and black holes - Schwarzschild radius - Negative Energy - Gravitational Radiation or Waves - Mach's Principle - Spinning Universe and general relativity (Lambda-term) - The Brans-Dicke theory - The Hoyle-Narlikar theory (prinicple of least action) - Is the gravitational constant changing? - The measurement of time-variation of G

Volume III Physics Constants Images For Neutrino Study
Equations for motion - Physical Constants - Velocity of Light in a vacuum (c) - Electron charge (e) - Planck's constant (h) hbar - Avogadro's number - Atomic mass unit - Electron rest mass (Erm) - Proton rest mass (Prm) - Neutron rest mass (Nrm) - Permittivity of vacuum - Permeability of vacuum - Electron charge to mass ration (Ecm) - Ration of proton mass to electron mass (Rpem) - Neutron Compton wavelength - Muon rest mass - classical electron radius - Gyromagnetic ration of protons in water - Quantum of circulation - Molar volume of ideal gas at STP - Faraday constant - Stefan-Boltzman constant - Rydberg constant R - Gravitational constant - Mass of the earth, Sun and Moon and density - Bohr radius - Electron magnetic moment - Proton magnetic moment - Bohr magneton - Nuclear magneton - Fine structure constant - Electron Compton wavelength (Ecw) - Proton Compton wavelength - Molar gas constant - boltzmann's constant - First radiation constant - Second radiation constant - Cosmic Scale Linear Dimension - Heisenberg's Principle of Uncertainty - Schrodinger wave Equation (Matter-Waves or Wave Mechanics)

Time Theory Equations Images For Neutrino Study
The Universe and the Arrow of Time - Space and time inversions - Irreversible Phenomena (entropy) - Thermodynamics - Electrodynamics - Cosmology - Thermodynamics and Cosmology - Thermodynamics in an expanding Universe - The Electromagnetic arrow of time (Causality) - The Wheeler-Feynman theory - A relation between the thermodynamic and electromagnetic arrows of time - A relation between the cosmological and electromagnetic arrows of time - The Perfect and imperfect absorbers - steady-state model - Quantum physics - The orbital energy of the atomic electron - quantum of radiation - Why an arrow of time?

Unified Field Theory Equations Images For Neutrino Study
Unified Field Equation - Einstein's Equation - Minkowski metric - Gravitational Red-Shift - Equation of Geodesic Deviation (Riemann-Christoffel Tensor or Curvature Tensor) - Einstein's Tensor - Eintein's Theory Of Gravitation - How much non-linearity is there in the superposition of two gravitational fields? - Does the Universe have a preferred frame of reference? - Is the total Momentum conserved? - Are there galaxy induced effects? - Geodesics Riemann space - Schwarzschild solution - Gravitational collapse and black holes - schwarzschild radius - Concept of a metric and of a metric space

Science News Articles From 2011 through 2022
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