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The Ball-of-Light Particle Model describes all elementary particles as standing, spherical waves composed of three fields: electric, magnetic, and gravitational. The central equation: E cross B = G emphasizes the already known fact that the electric, magnetic and gravitational force fields act at right angles to each other. (Imagine a corner where two walls meet a ceiling.) The relationship between these three fields has been known to exist and is expressed in a widely accepted physics equation known as the Poynting Vector. What is "new," so-to-speak, is to integrate the cross product -- E cross B -- over the surface of a sphere to obtain mass or gravity. This relationship can be seen in Table A.

(This page contains information that is not in the book, "The solution to the question, "What is time?" This information has been submitted to the journal Physical Review -- in 1995 -- and is on record with that publication under the name, "Ball-of-Light Particle Model." Until this paper has been published with Physical Review -- or another journal -- this information will remain: copyrighted (1995) by John T. Nordberg.)


Table A -- a Summary of The Ball-of-Light Particle Model

Critical color GIF file that summarizes The Ball of Light Particle Model. It will be difficult to visualize this model without seeing this graphic. (26k)



Summary

Pick up a billiard ball. It seems solid. Cut it in half. It looks solid. But looks are deceiving. At the atomic level the atom is mostly void. There is a central nucleus, and it is surrounded by orbiting electrons. Thus, the billiard ball is mostly void.

Can you cut an electron in half? Is it solid? There is impossible to "see" an electron. We "see" by reflecting photons off objects. Since photons can interact with electrons, there is no way to visually "see" structure of an electron.

Can you cut a nucleus in half? In general, yes. Can you "see" its structure? In general, no. It is only possible to visualize nuclei. Presently, the nuclei of atoms are visualized as "clusters" of separate particles, called protons and neutrons, that are held together by the "strong" force -- with the exception of the nucleus of the Hydrogen atom which has just one proton. The Ball-of-Light Particle Model differs from this traditional view of nuclei. The Ball-of-Light Particle Model describes all elementary particles -- including nuclei and photons -- in terms of a spherical, 3-Dimensional structure of Electric, Magnetic, and Gravitational fields. Since the Ball-of-Light Particle Model treats elementary particles and nuclei as being "built up" from just photons, this particle model can be summarized as describing all elementary particles as "Balls of Light." (A minor aspect of this particle model, is it predicts the centers of these balls of light are voids -- the electric and magnetic fields are just on the surface of the spheres.)

The traditional particle model and the Ball-of-Light Particle Model can never be proven. Since there is no way to see the structure of the particles described, they can only be supported by inductive reasoning.




Photons

In Table A, in the top row of spheres, is a sphere labeled, "Front." By itself, one of these spheres represents a photon. Key aspects of this sphere are:





Neutrinos

The spheres in Table A labeled "Front" -- in both the top and bottom rows -- have:

This particle model hypothesizes, if these two photons are superimposed, they will no longer have "translational" motion. Their fields would interact -- creating a "standing wave." The particle that would be formed would:

These characteristics closely match current descriptions of neutrinos. This particle is called the "second harmonic."




Electrons

This particle model hypothesizes, a third photon can be superimposed on a neutrino. The particle that would be formed would:

These characteristics closely match current descriptions of electrons. This particle is called the third harmonic.




Interaction of Photons with Electrons

Both photons and electrons can have two polarizations in this model. Two combinations of the polarizations are compatible. Two are not. Whether they are or not is simply determined by the rotational direction of the magnetic fields. If the magnetic fields attract, then the photon can combine with the electron. If the magnetic fields repel, then the photon can not combine with the electron.
If the photon and electron can combine, then the next issue is the magnitudes of their respective wavelengths -- the diameters of the spheres. If the wavelength of the photon is an exact multiple of the electron, then the photon will "add to", or "combine with" the electron. This would create a harmonic particle. This would predict that electrons can not have any energies, but rather, distinct energies.
If the photon and electron have correct polarizations, but the wavelength of the photon is not an exact match, then the photon will still wrap itself around the electron. However, since the photon's wavelength is not an exact match, the resulting particle is not harmonic. After the wrapping has progressed as far as it can, there would be a fraction of the photon left over (sort of like a tail). The fields in this tail of the photon would repel the photon from surface of the electron. The photon could not stay combined with the electron, so it, or a fraction of it, would then unwrap itself from the electron and travel off in another direction. The important implications for this are:






More Complex Elementary Particles

There is only one upper limit for further combinations of particles -- for further harmonics. It is the total Mass (or, Energy) of the universe. Thus, this particle model predicts that just prior to the "Big Bang," all of the energy of the universe was contained in one, massive, spherical, harmonic, ball of light. Thus, it is disagreement with a Big Bang from a "singularity."
Furthermore, the cores of stars, Cepheids, Quasars, black holes and other objects are spherical standing waves of electromagneticgravitational energy. This would address a whole host of unsolvable problems in astrophysics. These will be addressed, on later web pages.



E = mc^2

Review a Ball-of-Light in Table A once more. Note that the Electric and Magnetic fields are acting at right angles to each other. One field is moving at the speed of light in one direction, the second field is moving at the speed of light, at a right angle to the first, in another direction. This, of course, is "c" squared. The "E" in E = mc^2, is the energy of the Electric Field cross the Magnetic Field. This cross product has to be equivalent to the mass on the other side of the equation. With our system of units, the speed of light is not defined to be "1," rather as, 299,792,458. If the speed of light was defined as "1," then this equation would be an identity -- E = m. Only because of the system of units which scientists have chosen to use, the left side must be divided by "c" squared (Electric cross Magnetic divided by "c" squared) to be equivalent to mass.



F = ma

Perhaps the two most important observations ever made in physics are:

Again, review one of the spheres in Table A. The electric and magnetic fields in the spheres can be broken down, mathematically, into parallel "loops." If one of these particles is stationary, then any one of these loops would have a constant value around its circumference for its Magnetic field or Electric field. However, if the particle is accelerated -- IN ANY DIRECTION -- then there will be an induced field set up around loops -- perpendicular to the direction of motion -- that would inhibit the acceleration of the particle. If the induced field was electric, a perpendicular magnetic field would also be created. If the induced field was magnetic, a perpendicular electric field would also be created. The cross product -- Electric cross Magnetic -- would immediately increase. This would manifest itself as mass. Thus, F = ma can be derived from this particle model. If a ball of light has a force applied to it, it will be accelerated in some direction, inducing greater electric and magnetic fields around the surface of the sphere, inducing a greater cross product. Integrating this increasing gravitational force over the surface of the sphere gives the result of mass.



Strong Force

In the description of the neutrino, imagine trying to pull apart the two photons that make up the particle. The electric and magnetic fields combine perfectly -- the gravitational fields add. There is nothing that would make this particle want to spontaneously decay. It would be the perfect standing wave. The combination of the Electric force, the Magnetic force, and the Gravitational force -- as described in this particle model -- is the Strong force.



Harmonic Particles

Note the two hemispheres in the first three harmonics are perfectly symmetrical. You can split the surface of the sphere into smaller increments however. This is how further harmonics would be described.
If the pattern of Electric and Magnetic fields on the surface of the spheres in this Ball-of-Light Particle Model meet certain restrictions, then the resulting particle is said to be harmonic. If the pattern of the Electric and Magnetic fields do not meet these restrictions, then the particle is said to nonharmonic, and will spontaneously decay. The restrictions for a harmonic particle are assumed to be:





Nonharmonic Particles -- The cause of Decay

If a particle has a nonsymmetrical pattern of alternating Electric or Magnetic fields, then this asymmetry travels around the sphere. (An analogy would be the way a crack propagates through glass.) As the asymmetry travels around the particle, it would induce Electric and/or Magnetic fields that would "pinch" the particle. As the particle "splits," "decays," however described, the result would be either new particles and/or photons. If the new particles, are not harmonic, then their asymmetries would cause further decays. Such cascades of decays predicted by this particle model are in total agreement with all known observations of decays.
This particle model would also predict that two separate particles could pass within close distances to each other and induce decays -- without coming into contact -- a known phenomenon.



Length Contraction

This particle model would predict that as a particle's motion, with respect to the speed of light, is increased, the induced Electric and Magnetic fields would cause the particle to become smaller. This particle model places the phenomenon called "length contraction" in the particle, gives it a common sense cause, a predicts it a priori. The increase in speed causes induced Electric and Magnetic fields. The increase in the Electric and Magnetic fields causes induced gravitational force. The induced gravitational force cause the Electric and Magnetic fields to collapse to a smaller size -- all a priori -- nothing beyond 3 dimensions, no warping of space, no a posteriori reasoning.



Time Dilation

There is a known particle called the muon. At rest, on earth, it is known to be unstable. It typically decays in about 2.2 microseconds. This particle model predicts that the cause for decay, is on the surface of the particle, there is an asymmetrical region either an Electric or Magnetic field. If this particle is accelerated, the increase in speed will induce the Electric and Magnetic fields across the whole particle to increase, inducing greater gravitational force, holding the particle together with greater force. The asymmetry is still there, however, the forces it must generate to split the particle and cause decay are greater. Accelerating a particle will improve its stability. The particle does not "live" longer because of "time dilation." It simply is more stable. Time still progresses at the speed of light.
Conversely, a particle that is not stable to begin with will become less stable as it slows down. Simply slowing a particle will cause it decay more rapidly, potentially spewing out all sorts of radiation in the form of photons or more stable Balls of Light. This is a known phenomenon called "Breaking Radiation," or, "Bremsstrahlung" radiation.



Mass Dilation

If you have studied the preceding material, reading this section is unnecessary. To recap, accelerating an elementary particle, as described in the Ball-of-Light Particle Model, causes induced Electric and Magnetic fields on the surface of the sphere. The cross product of the Electric and Magnetic fields gives greater Gravitational field. Integrated over the surface of the sphere, the elementary particle would have greater mass. Again, all a priori -- nothing beyond 3 dimensions, no warping of space, no a posteriori reasoning.




Dynamic Gravitational Force Law

One of the most important implications that the Ball-of-Light Particle Model has for physics is it makes the gravitational force law dynamic.



The Missing Mass of the Universe (Dark Matter)

The further away an object is from earth, the further back in time we see it. If an object is further back in time, then it is closer to the Big Bang -- assuming such an event occurred. Assuming an event such as the Big Bang occurred, it makes sense to assume that particles of mass that are products from this explosion slow -- due to gravity -- the further away from the explosion they travel. As a general rule, if you are close to the Big Bang, then you are traveling faster than if you are further from the Big Bang. Thus, in general, the further away a star or galaxy is from earth, the faster it is moving, due only to the fact we are now seeing it as it was further back in time. Using the Ball-of-Light Particle Model, with its dynamic treatment of gravity, it is safe to assume that: the further a star or galaxy is away from earth, the further it is back in time; the further an object is back in time, the faster it was traveling; the faster it was traveling, the greater it induced gravitational forces. Thus, the Ball-of-Light Particle Model explains the "missing mass" of the universe.



Does the Electric and Magnetic Forces act this way? Yes

You might wish to perform this simple experiment to confirm for yourself how the electric and magnetic fields interact over the surface of a sphere. You will need the following:

The steps are:

  1. cut the wire in half
  2. securely attach the wire to opposite ends of the sphere -- exact opposites
  3. hang the sphere in the cardboard box by one wire
  4. connect one end of one wire to one pole on the battery
  5. hold the compass next to the top or bottom hemisphere of the sphere
  6. briefly touch the other wire to the other pole of the battery
  7. note the deflection on the compass
  8. hold the compass next to the other hemisphere of the sphere
  9. again, note the deflection on the compass

This experiment proves that as the primary field -- in this case the electrical field -- sweeps over a sphere, it induces magnetic fields that change direction from one hemisphere to the other.
[Note: the effects described in this experiment -- the deflection of the compass -- are visible primarily due to the alignment of electrons in the conducting sphere. The observed fields are not pure electric or magnetic fields as described on the surface of the spheres in the Ball-of-Light Particle Model. A more advanced description of this experiment will be added to this site someday.]




"Electromagnetic Mass"

There is a reference to "electromagnetic mass" on page 56 of Atomic Physics by Max Born (Dover Publications, Inc. ISBN 0-486-65984-4). This theory was developed by such renown physicists as: J. J. Thomson, 1892; Heaviside and Searle, 1885; Kaufman, 1906; Abraham, 1903; and Hasenohrl, 1906. (I have not been able to find out and more about their research. If you do know of their research, please E-Mail me.) Readers may be interested to know that what stopped development on this promising theory was Einstein's Relativity.




The "Poynting Vector"

The closest thing to the Ball-of-Light Particle Model in currently accepted physics theory is the Poynting Vector -- named after John Henry Poynting (1852-1914). The Poynting Vector "S" is defined as:

[Missing Graphic] (14k) The Poynting Vector--(1/mu naught) * E cross B.

The units for the Poynting Vector -- -in SI Derived Units -- are expressed as watts/meter^2. Or, expressed in SI Basic Units: kg/s^3 (kilograms divided by seconds cubed). This is extremely revealing. On one side of the equation you have Electric cross Magnetic, and on the other side you have the units of mass. The Poynting Vector is a Grand Unification Theory! To simplify its use in calculations, examples usually appear in reference to cylindrical spaces -- not spherical spaces. [If you are aware of a company that makes resonant harmonic cavities -- especially, spherical resonant harmonic cavities -- please E-mail John Nordberg.]


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Copyright, 1996 by John T. Nordberg
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