Classical and Quantum Geometro-electrodynamics
Dear SPF Friends:
Over the last few months I have carefully extended my paper on the geometrodynamic foundation of classical electrodynamics, into quantum electrodynamics. This may be found here: http://vixra.org/pdf/1609.0387v1.pdf.
It had been my intention to keep this paper tightly focused on classical electrodynamics because that is a problem that had not been solved for a full century despite best efforts by Weyl, Kaluza-Klein and Einstein himself. But several factors combined motivated me to extend this to quantum electrodynamics.
First, the paper was rejected from the top journal to which I earlier reported I had submitted, not for being wrong or contradictory, but because "If it is to have any observable consequences, then it is a proposal for an alternative to standard electromagnetism, a theory that is [sic] has passed many experimental tests to very high precision (e.g., the magnetic moments of the electron and muon). A requirement for publication in ... would be a detailed demonstration that this alternative theory can fit the experimental data equally well. You have not does [sic] this, and I doubt that it can be done."
Second, I had already seen strong hints six months ago, some of which I have discussed here, that the lepton magnetic moment anomalies are in fact tied into the electromagnetic time dilation that I found at the start of the year and have discussed here at length. I stayed away from putting that in the paper to keep the paper strictly classical, but that was a strategy decision not a science decision. Once challenged to connect to the magnetic moments, and feeling that in fact it "can be done" and I can do it, I changed the strategic decision and over the last few months worked to rigorously make this connection. The entire Part III of this paper now contains a complete and rigorous connection of the magnetic moment anomalies to electromagnetic time dilation, and also, in section 16, contains a direct tie which I only discovered these past two weeks, to the DeVries formula for the running fine structure constant, see http://www.chip-architect.com/news/2004 ... stant.html. I also decided to "go quantum" because I realized that even if I had completely nailed the classical theory correctly, in this day and age it is really not possible to gain the attention of others to study this work without also including the QED material and relating my theory to the magnetic moment anomalies. So if I am in, I am all in.
You will see a few other changes here over the last time I posted earlier incarnations of this work. First, a couple of months ago, as I was carefully reviewing my prior development to prepare for this QED extension, I realized that I had introduced a bias that if two gravitating bodies which are attracting dilate time as we know they do from GR, then two electrical charges which are attracting should also dilate time. But when I carefully walked through the calculations in section 9 and 10 and the sign conventions which I have detailed in section 2, I realized I had gotten the sign flipped, partly because I preconceived a result rather than faithfully followed the math and stowed any bias on the shelf. So in fact, time is dilated for electromagnetic interactions between two like-charges as in gravitation, not as between two attracting charges as in gravitation. So for electromagnetism, time is dilated by repulsive not attractive interactions. That is why I did not answer Ben a few weeks ago, because everything was flipped from what I said earlier and I was not ready to explain all that yet. And by the way, the quantum field theory reason for this, is that the propagators for spin 2 gravitations have an opposite sign from those for spin 1 photons.
But the most important upshot of this is that this was the key link needed to get to the magnetic moment anomalies, with the g-factors g>2. This is because as I show in sections 13 and 14, the g-factors scale with the time dilation. So because the anomalies arise from lepton self-interactions, and because self-interactions among various "parts" of a lepton probability density are necessarily repulsive, my earlier incorrect sign would have given g<2, while the corrected sign gives g>2. So fixing that sign is what allowed me to sink the golf ball into the cup on the magnetic moments. And the structural change in the time dilation formula also teed up the DeVries formula connection.
The other change here, more in tone than substance, resulted from Thomas Ray's comments here where he was struck by the connections I was making between time and energy. I realized from reading Tom's comments that this could not be emphasized enough, and it grew to be central to my thinking. And when it came to including the electroweak and hadronic contributions in the magnetic moments as I did in section 14, this was not only a helpful view, but was critically dispositive. I have coined this connection that Tom likes into the phrase "Time Sees All Energy," and it is a very powerful unifying principle across all interactions for all energies no matter what their form or origin.
I have not yet submitted this for publication, because a couple of folks are reviewing this for me privately in the coming days. So I look forward to any comments as always, and if you have specific points that could be better clarified for a reader and would like me to consider them before I submit for publication, this would be a good time to pass them along.
Thanks, and best regards to all,
Jay
Over the last few months I have carefully extended my paper on the geometrodynamic foundation of classical electrodynamics, into quantum electrodynamics. This may be found here: http://vixra.org/pdf/1609.0387v1.pdf.
It had been my intention to keep this paper tightly focused on classical electrodynamics because that is a problem that had not been solved for a full century despite best efforts by Weyl, Kaluza-Klein and Einstein himself. But several factors combined motivated me to extend this to quantum electrodynamics.
First, the paper was rejected from the top journal to which I earlier reported I had submitted, not for being wrong or contradictory, but because "If it is to have any observable consequences, then it is a proposal for an alternative to standard electromagnetism, a theory that is [sic] has passed many experimental tests to very high precision (e.g., the magnetic moments of the electron and muon). A requirement for publication in ... would be a detailed demonstration that this alternative theory can fit the experimental data equally well. You have not does [sic] this, and I doubt that it can be done."
Second, I had already seen strong hints six months ago, some of which I have discussed here, that the lepton magnetic moment anomalies are in fact tied into the electromagnetic time dilation that I found at the start of the year and have discussed here at length. I stayed away from putting that in the paper to keep the paper strictly classical, but that was a strategy decision not a science decision. Once challenged to connect to the magnetic moments, and feeling that in fact it "can be done" and I can do it, I changed the strategic decision and over the last few months worked to rigorously make this connection. The entire Part III of this paper now contains a complete and rigorous connection of the magnetic moment anomalies to electromagnetic time dilation, and also, in section 16, contains a direct tie which I only discovered these past two weeks, to the DeVries formula for the running fine structure constant, see http://www.chip-architect.com/news/2004 ... stant.html. I also decided to "go quantum" because I realized that even if I had completely nailed the classical theory correctly, in this day and age it is really not possible to gain the attention of others to study this work without also including the QED material and relating my theory to the magnetic moment anomalies. So if I am in, I am all in.
You will see a few other changes here over the last time I posted earlier incarnations of this work. First, a couple of months ago, as I was carefully reviewing my prior development to prepare for this QED extension, I realized that I had introduced a bias that if two gravitating bodies which are attracting dilate time as we know they do from GR, then two electrical charges which are attracting should also dilate time. But when I carefully walked through the calculations in section 9 and 10 and the sign conventions which I have detailed in section 2, I realized I had gotten the sign flipped, partly because I preconceived a result rather than faithfully followed the math and stowed any bias on the shelf. So in fact, time is dilated for electromagnetic interactions between two like-charges as in gravitation, not as between two attracting charges as in gravitation. So for electromagnetism, time is dilated by repulsive not attractive interactions. That is why I did not answer Ben a few weeks ago, because everything was flipped from what I said earlier and I was not ready to explain all that yet. And by the way, the quantum field theory reason for this, is that the propagators for spin 2 gravitations have an opposite sign from those for spin 1 photons.
But the most important upshot of this is that this was the key link needed to get to the magnetic moment anomalies, with the g-factors g>2. This is because as I show in sections 13 and 14, the g-factors scale with the time dilation. So because the anomalies arise from lepton self-interactions, and because self-interactions among various "parts" of a lepton probability density are necessarily repulsive, my earlier incorrect sign would have given g<2, while the corrected sign gives g>2. So fixing that sign is what allowed me to sink the golf ball into the cup on the magnetic moments. And the structural change in the time dilation formula also teed up the DeVries formula connection.
The other change here, more in tone than substance, resulted from Thomas Ray's comments here where he was struck by the connections I was making between time and energy. I realized from reading Tom's comments that this could not be emphasized enough, and it grew to be central to my thinking. And when it came to including the electroweak and hadronic contributions in the magnetic moments as I did in section 14, this was not only a helpful view, but was critically dispositive. I have coined this connection that Tom likes into the phrase "Time Sees All Energy," and it is a very powerful unifying principle across all interactions for all energies no matter what their form or origin.
I have not yet submitted this for publication, because a couple of folks are reviewing this for me privately in the coming days. So I look forward to any comments as always, and if you have specific points that could be better clarified for a reader and would like me to consider them before I submit for publication, this would be a good time to pass them along.
Thanks, and best regards to all,
Jay