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From: Archimedes Plutonium on 21 Jun 2010 01:39 It is rather good that I touch on this subject of the Universe being the one and only monopole in existence. Dirac had terrific physics intuition, certainly the tallest physicist of the 20th century of QM, and I am a baton carrier of mostly Dirac's legacy. Without a doubt, the biggest quantum mechanics physicist of that era that sported Bohr, Heisenberg, Pauli and many others that Dirac shines brightest. Einstein was a midget compared to Dirac. But let me not get carried away on history. It is good that I talk about monopole just immediately after talking about whether we have additive or multiplicative new radioactivities. Because learning and understanding complicated physics is best done when you have a bunch of stuff that is similar or can ask the same questions over a wide spectrum of phenomenon. For instance: (1) Is it additive or multiplicative new radioactivities or both in combinations? (2) Is light ever travelling at the speed of light or is it always slowed down due to space always curved and space never being a full vaccuum? (3) Is Space ever Euclidean or is it always a mix of both Elliptic and Hyperbolic that may be Euclidean in a few spots here and there? (4) Can you ever have a "front" yet no "back" (5) If you had a monopole, would it mean there is no quantum duality? Because north and south poles of magnets are nothing more than dualities. (6) If you had a monopole, would it mean the Maxwell Equations are wrong? (7) If you had a monopole, would it mean that you had Euclidean geometry since a dipole means Elliptic. I think all those questions are related to the question of whether a monopole exists or not. I think that Dirac was both correct and wrong with his insistence of a magnetic monopole. I think he was wrong in thinking that a magnetic monopole would show up as did the positron for his Dirac Equation showed up in experiments. Dirac was expecting monopoles showing up as what happened when positrons showed up in experiments. I think Dirac was too persuaded by his insistence that the "electric charge is always quantized". But to save electric charge quantization, must we sacrifice Maxwell Equations and Quantum Duality? So I think that Dirac never really talked about what he would lose by having monopoles exist. I think what Dirac made the mistake with monopole seeking was a mistake in emphasis. He emphasized the existence of monopoles to uphold electric charge as always quantized. But by having monopoles, we violate the Maxwell Equations and Quantum Duality. So Dirac wanted to uphold electric charge quantization but did not mind losing Maxwell Equations and Quantum Duality. So here, I think the logical question is whether we can have a Universe where we uphold charge quantization, Maxwell Equations and Quantum Duality? Can we uphold all three of those, not just charge quantization. Dirac was correct by insisting that a monopole does exist. Only not the sort of monopole that Dirac had in mind, like a particle such as a positron validating his Dirac Equation. The monopole that does exist is rather a condition of the Universe. That the Universe itself is a monopole as an "upper limit condition". This is a monopole that we cannot generate in a experiment. It is a condition of the Universe, not a particle. Let me try to explain what I mean with the theory of light. We all know that light has a speed designated as "c" of which it is travelling in a vaccuum. But is there a perfect vaccuum? Is there a vaccuum at all? Probably not. And is not the Universe an elliptic geometry meaning it has a curvature and thus any light travelling in curved space is not going to speed at "c". And so there is no light, ever, travelling at "c" itself. So if all light is travelling at less than "c" does it mean that the physics of light is wrong? No. It simply means that light has a upper bound, an upper limit. Another place in physics where we meet such a condition is the absolute zero temperature. Nothing in the Cosmos is 0 Kelvin, but that does not mean 0 Kelvin is nonexistant. It only means 0 Kelvin exists but is an upper limit. Monopole theory is the same sort of thing as the speed of light or 0 Kelvin. All magnets are dipoles, but in the upper bound or upper limit we can rescue from the Universe one monopole, the universe itself. A dipole magnet simply means that the EM force is a Elliptic geometry force of going around in circles. To have a monopole magnet means that EM force is Euclidean flat plane geometry. No EM force is Euclidean flat plane. The only place in physics where light actually travels at the speed of light is a Euclidean flat plane that is a vaccuum. So Dirac was wanting to justify why electric charge is always quantized, but it is quantized not because the Universe has a monopole, but is quantized because everything in the universe is duality driven. A monopole is not duality but singularity. Light travelling at the speed of light is not duality but a singularity. Dirac derives his need for a monopole by considering the Schrodinger Equation in his book Directions in Physics. But there is an implied mistake that Dirac made in his derivation, on page 46 where he gets: Umin = (137/2)(e) Dirac made a implicit mistake by using the Schrodinger Equation without mention of quantum duality. Positive charge is the dual of negative charge. Dirac neglects that bipolar magnets are duality relationships and Dirac neglects the duality in his calculation of Umin. Noone is going to find a monopole in the laboratory, ever. But a monopole exists as the Universe in total is a monopole, just as the Universe in total has the speed of light travelling at "c" as a upper limit case. And just as the Universe has 0 Kelvin as the lower limit of temperature. So a monopole is not a object of existence, not an entity of existence but a condition of existence, a upper or lower limit condition. So Dirac was both correct and wrong about his magnetic monopole. He was right that at least one exists, but it is not something that can be bottled in an experiment. It is a upper limit case of the entire Universe itself. Euclidean geometry is the upper limit case of Elliptic geometry where you have no more curves and bends but everything is straight lines with the parallel axiom. He was wrong in thinking that experiments would deliver some particle that was monopolic. And he was wrong in not following up on the logical implications of a monopole. Sure he had the motivation of a electric charge quantization, but he failed to subtract that the Maxwell Equations are destroyed and that the Quantum Duality is destroyed. But it is to Dirac's credit that we now can make sense of magnetic monopoles, because without his adventure into that topic we would still be far into the weeds. P.S. I doubt that the Universe as a monopole itself can make easier the question of how all the matter we see is "electronic matter". Why we do not recognize that the Moon or Earth are parts of an electron in an Atom Totality and would thus appear charged matter. That we see matter as cosmically neutral overall. I think what masks this "electronic matter" is that space is positively charged with positron space and that makes the overall observable universe appear electrically neutral. Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |