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| Tags: analytical, barrier, connection, coulombized, equations, form, geometrical, maxwell, principle, tofusion, unification |
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Tue, 10 May 2005 11:47:17 -0500 Archimedes Plutonium wrote:
In a post several weeks ago I discussed the Coulomb Unification of the forces of physics and I spoke of coulombizing the 4 Maxwell Equations. Then I entered a Fusion Barrier Principle conversation talking about how Coulomb law is a sphere and Faradays Law is a cylinder. I want to continue that line of thought because perhaps there is no Coulombizing the Maxwell Equations because they are rock bottom foundation. I did post this: Coulomb-Gauss Law: div E = 4pi (charge density) Gauss-Magnetism Law: div B = 0 Faraday's Law: curl E = -(1/c) (dB/dt) Ampere-Maxwell Law: curl B = (1/c)(dE/dt) + (4pi/c) J In the Fusion Barrier Principle the reason fusion controlled will not exceed 2/3 Breakeven is because it is impossible to exceed volume or surface area when enclosing a sphere inside cylinder or vice versa. Every fusion event is a enclosing event of Coulomb law which is sphere and Faradays law which is a cylinder. So now let me extend that conversation to the whole of the 4 Maxwell Equations because the idea that Coulomb law is a sphere and Faradays Law is a cylinder extends to the NonMonopole Law and to the Ampere-Maxwell Law. In effect, this post is the world's first post that gives the Maxwell Equations in a Geometrical formulation instead of the above Algebraic (Calculus) formulation. The Coulomb Law is a sphere. Nested spheres depending on magnitude of the force. Faradays Law takes each one of those Coulomb spheres and moves it in a straightline with the center of the Coulomb-sphere and forms a cylinder. The Gauss-Magnetism Law or NonMonopole Law is a defunct Coulomb Law or a degenerate Coulomb Law. It is a point source Coulomb Law. Coulomb Law is rich and encompasses alot of space whereas the NonMonopole Law covers a single point. That is why Coulomb law is 4pi whereas NonMonopole is 0. So when we geometrically extend the Coulomb Law of a sphere we produce a cylinder. When we examine the Gauss-Magnetism Law it is geometrically the Conic Sections of 2 cones whose apex meet. The meeting of those 2 apex is a single point. So the Gauss-Magnetism Law is those 2 cones meeting at apex point. If the NonMonopole Law were false then what happens is that the world has a Coulomb Law that is not a sphere or ball but instead a half-sphere or a cup like a tea or coffee cup. The reason Gauss-Magnetism Law is div equal to 0 instead of it equal to some quantity other than 0 is because then the Coulomb Law would have truncated spheres or truncated balls-- impossible. The reason the universe or world cannot have a monopole is because then the Coulomb Law would be truncated spheres or truncated balls. The reason the world needs a Gauss-Magnetism Law is because the Coulomb law itself does not cover the instance of a point. The Coulomb law covers the cases when space is more than a point. The Gauss-Magnetism Law covers the instance when space is a point. When the Coulomb Law is in dynamical motion then the Coulomb Law becomes Faradays law and geometrically what happens is that a ball when in motion traces out a cylinder in space where the center of the sphere/ball becomes a center of a cylinder. Now what happens with the NonMonopole Law when in dynamical motion? Does it trace out the Ampere-Maxwell Law? Consider what the NonMonopole Law would be if it were the Monopole Law. If it were the Monopole Law it would be the classical 2 cones of Conic Section theory. Those 2 cones intersecting at their apex. And instead of the Coulomb Law in motion tracing out a cylinder to become the Faraday Law the trouble with the Monopole Law of Conic Sections of those 2 cones would stretch out and be open ended. So we see that in the Ampere Law needs to be a term added of the Maxwell contribution of a displacement current. This is the (4pi/c) J term needed into the Ampere Law to make it sound and consistent with the other 3 Maxwell Equations. In effect what the (4pi/c) J term does to the Ampere Law is to turn those 2 open ended cones of Conic Section and transforms those 2 cones into a long cylinder. So the geometrical interpretation of the 4 Maxwell Equations is that Coulomb's Law is a sphere or ball in space. The Gauss-Magnetism Law is the same as the Coulomb's Law but its domain is a single point in space whereas the Coulomb Law has a domain of more than one point in space. That is why Coulomb law has a positive quantity and the Gauss-Magnetism law is zero. Now when we put Coulomb's Law into dynamics or into motion we turn a sphere or ball into a cylinder. A ball when moved in a straight line traces out a cylinder. When we put a Gauss-Magnetism Law into motion of a Conic Section of 2 cones intersecting at an apex and where the law governs is purely that single point of intersection. The Ampere Law would be a Conic Section of 2 cones but what the adding of the Maxwell term to the Ampere Law does is to topologically bend or squash those open ended 2 cones into becoming a cylinder. So, in effect, what I have learned in the last couple of weeks is that the 4 Maxwell Equations are rock bottom and that I cannot and should not be trying to coulombize the other 3 maxwell equations. They are already Coulombized. And what brought me to this realization today is that of the Fusion Barrier Principle. Because the 4 Maxwell Equations are really simply just geometrical spheres and cylinders for which the spheres in motion create cylinders. In the above light one can thence say what is the difference between electricity and magnetism. And at root the difference is that electricity is more than a point and magnetism is only a point. The Coulomb Law is a law of more than one point. The Gauss-magnetism Law is a Coulomb law itself but only governing a single point and that is why the one law has a positive quantity and the other is equal to zero. Now when we put the Coulomb law in motion we trace out a cylinder in space and we get -(1/c) (dB/dt) as a result. But when we put Gauss-Magnetism Law in motion the sole term of (1/c)(dE/dt) would trace out a Conic Section of 2 cones that extend infinitely in space. But this is nonsense and so an added term that Maxwell added of (4pi/c) J to topologically bend those 2 cones into forming a cylinder. P.S. The reason the universe or world does not have a monopole and cannot have a monopole is because the entire world is just Coulomb law and if a monopole exists then the universe itself does not exist. You see, the Gauss-Magnetism Law is the Coulomb Law governing a single point. I should make it clear above about Conic Sections. Remember 2 cones intersecting at one apex point. The 2 cones are called nappes. In the 1990s I thought the Maxwell Equations needed neutrinolizing in that a neutrino can flip or switch into a photon. I was wrong about neutrinolizing. In early 2005 I thought the Maxwell Equations needed Coulombizing since the forces of physics distill down into a grand Unification and the unifying force is the Coulomb force. I was wrong about coulombizing. For I now see that the Maxwell Equations are the lowest characteristics of the photon and electricity and magnetism. And the physics textbooks such as Halliday and Resnick are wrong about the Maxwell Equations when they say they are asymmetrical with respect to no monopoles even though we have isolated centers of charge. And the asymmetry of Faraday's law with its negative sign. But symmetry to what? When we ask for symmetry of the Maxwell Equations with respect to a sphere and cylinder then the 4 equations are totally symmetrical. What we do is take the Gauss law of Electricity (Coulomb law) and combine it with Gauss Law of Magnetism for which the one is a sphere for finite diameter whereas the other is a truncated or degenerate sphere of a single point. Coulomb's law does not cover a single point and that is where Gauss law of Magnetism has to cover a point. The two combined is the general Coulomb Law and we can envision the point as the intersection point of the nappes in Conic Section. And the Faraday Law and Ampere-Maxwell Law are totally symmetrical in that one is a cylinder begot from the tracing out by a sphere in motion and the other is begot by the topological bending of the nappes of conic sections to turn into a cylinder. So both Gauss laws are spheres where the Coulomb is a finite radius sphere and where Magnetism is a point sphere and the point is the intersection of the 2 cones in Conic Section. And both Faraday and Ampere-Maxwell Laws are cylinders. Faradays Law is a cylinder because a sphere in motion traces out a cylinder. And the Ampere-Maxwell Law is also a cylinder only it starts out with being a Conic Section with its 2 cones but when placed into motion the Maxwell added term of displacement current ends up bending the nappes of the Conic Section and transforms it into a cylinder. So there is no asymmetry in the Maxwell Equations once one views them as spheres and cylinders. Archimedes Plutonium www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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#2
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Archimedes Plutonium wrote: Tue, 10 May 2005 11:47:17 -0500 Archimedes Plutonium wrote: In a post several weeks ago I discussed the Coulomb Unification of the forces of physics and I spoke of coulombizing the 4 Maxwell Equations. Then I entered a Fusion Barrier Principle conversation talking about how Coulomb law is a sphere and Faradays Law is a cylinder. I want to continue that line of thought because perhaps there is no Coulombizing the Maxwell Equations because they are rock bottom foundation. I did post this: Coulomb-Gauss Law: div E = 4pi (charge density) Gauss-Magnetism Law: div B = 0 Faraday's Law: curl E = -(1/c) (dB/dt) Ampere-Maxwell Law: curl B = (1/c)(dE/dt) + (4pi/c) J In the Fusion Barrier Principle the reason fusion controlled will not exceed 2/3 Breakeven is because it is impossible to exceed volume or surface area when enclosing a sphere inside cylinder or vice versa. Every fusion event is a enclosing event of Coulomb law which is sphere and Faradays law which is a cylinder. So now let me extend that conversation to the whole of the 4 Maxwell Equations because the idea that Coulomb law is a sphere and Faradays Law is a cylinder extends to the NonMonopole Law and to the Ampere-Maxwell Law. In effect, this post is the world's first post that gives the Maxwell Equations in a Geometrical formulation instead of the above Algebraic (Calculus) formulation. The Coulomb Law is a sphere. Nested spheres depending on magnitude of the force. Faradays Law takes each one of those Coulomb spheres and moves it in a straightline with the center of the Coulomb-sphere and forms a cylinder. The Gauss-Magnetism Law or NonMonopole Law is a defunct Coulomb Law or a degenerate Coulomb Law. It is a point source Coulomb Law. Coulomb Law is rich and encompasses alot of space whereas the NonMonopole Law covers a single point. That is why Coulomb law is 4pi whereas NonMonopole is 0. |
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#4
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The verdict is still long out on whether the Maxwell Equations need
neutrinolizing. We do not know if the photon can somehow switch into becoming a neutrino and vice versa. So on my website of www.iw.net/~a_plutonium where I had written in the 1990s that of neutrinolizing the Maxwell Equations, I should keep that remaining there until some clarity and understanding comes in the future. As far as my recent attempt to Coulombize the Maxwell Equations, meaning that each equation has a Coulomb force law add-on, and even the Coulomb law itself having an add-on Coulomb second term, was wrong. So wrong that it is foolish. The Maxwell Equations are not about forces, although the Coulomb force is embedded in the Maxwell Equations. The Maxwell Equations are about the photon and the characteristics and behaviour of the photon. In my Unification of the Forces of Physics, all the forces are a Coulomb force and so the Maxwell Equations should have this ultimate unifying force. If the Maxwell Equations did not have the Coulomb force, if we can imagine that, and instead had the StrongNuclear force or the WeakNuclear force or even gravity but not Coulomb force, then the ultimate unifying force would be this force. I believe the reason I dived and dove into the idea of Coulombizing the Maxwell Equations is because I realized the force of gravity is the coulomb force. So in a sense, I was gravitizing the Maxwell Equations. But the foolishness of that adventure is that I would have to dutifully StrongNuclearize the Maxwell Equations and also WeakNuclearize the Maxwell Equations if I gravitized the Maxwell Equations. Basically the Maxwell Equations are about the photon, the characteristics and behaviour of the photon, and the equations have one force which is the Unifying force of physics-- the Coulomb Force. So I do not want to put a Coulomb force in each and every one of the 4 Maxwell Equations. Instead, what I want to do is to combine the 4 Maxwell Equations into 2 equations where the "Overall or Generalized Coulomb Force" is begot. Instead of adding-on additional Coulomb force terms, I need to combine div E with div B and to combine curl E with curl B. But as for the neutrino, it may be convertable into a photon or vice versa and if that be the case, then the Maxwell Equations of the future will have this switchability. I suspect the force of gravity is carried by the neutrino. I suspect the StrongNuclear force and WeakNuclear force carrier particle are some mesons equal to the "nuclear electron" (each neutron contains a proton and nuclear-electron as well as a neutrino). So this is a argument that says we do not have to neutrinolize the Maxwell Equations. Because if the neutrino is the carrier particle for the force of gravity, then the Maxwell Equations neutrinolized would imply that the Maxwell Equations need be StrongNuclearized and WeakNuclearized. Alot of assumptions above and in these instances I have to rely almost solely on intuition. The important thing I need to find out now is when we combine div E with div B and combine curl E with curl B does this new arrangement lead to any new predictions not contained in the old Maxwell theory where the 4 equations were separate and independent. Because if it leads to a new prediction and new experiment then this "Overall Coulomb force" is true. Archimedes Plutonium www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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#5
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You see the symmetry is violated when we try to Coulombize each and every equation of the Maxwell Equations just because the force of gravity is a Coulomb force. Because they we have to fiddle and change the Maxwell Equations for every other force that comes along. We would then have to fiddle and change the Maxwell Equations to accomodate the StrongNuclear joined with the WeakNuclear that composes a NuclearCoulomb Force. So, the folly of my weeks ago attempt to Coulombize the Maxwell Equations would be quite obvious a folly because the Maxwell Equations would be in a constant state of repair for every force that comes along. However, several weeks ago when I realized that if I put both the div E and div B together to form a *Generalized Coulomb Force* and that the old thinking that only div E as a Coulomb force, sounds like a winner and sounds true. Instead of the folly of Coulombizing each and every Maxwell Equation, I ended up with the reverse that the true Coulomb, the *overall Coulomb* was the combining of 2 of the Maxwell Equations. The real Coulomb force is not just div E alone but div E combined with div B. And when the Coulomb force is in motion of curl calculus then it is curl E combined with curl B to yield the Overall or Generalized Coulomb Force in motion. But the Maxwell Equations can still be deficient and in need of revision as per neutrino. The Maxwell theory is all about the character and description of the photon. But if the photon can be produced or change into neutrinos then that transformation needs to be embodied in the Maxwell Equations. So if the force of gravity is carried by the neutrino and the neutrino is flipped back and forth between being a neutrino and being a photon then the Maxwell theory needs that behaviour incorporated and it would mean also to save symmetry that the StrongNuclear combined with WeakNuclear to yield a NuclearCoulomb force would have the neutrino as the carrier particle just as gravity has the neutrino as the carrier particle. And it is quite obvious and apparent that the neutrino is indeed a particle that is involved with the StrongNuclear and WeakNuclear force. If the neutrino never changes into a photon and vice versa then it appears to my intuition that the Maxwell Equations are eternal as they stand now and never in need of future revision. However, if the photon and neutrino do switch into one another, then the Maxwell theory needs a future revision where this switchability is incorporated into the Maxwell theory. Archimedes Plutonium www.iw.net/~a_plutonium Whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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