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| Tags: electrodynamics, foundations, general, gravitation, grqc0511050, matter, maxwells, paper, quantum, relativity, theory |
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#1
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Hello to everyone:
My newest paper, "General Relativity, Maxwell's Electrodynamics, and the Foundations of the Quantum Theory of Gravitation and Matter," just posted to ArXiV. The link is http://arxiv.org/abs/gr-qc/0511050. I would very much appreciate any comments and input you may have. Very truly yours, Jay R. Yablon _____________________________ Jay R. Yablon Email: |
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#2
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"Jay R. Yablon" wrote in message
... | Hello to everyone: | | My newest paper, "General Relativity, Maxwell's Electrodynamics, and the | Foundations of the Quantum Theory of Gravitation and Matter," just posted to | ArXiV. | | The link is http://arxiv.org/abs/gr-qc/0511050. | | I would very much appreciate any comments and input you may have. Hi Jay, As I mentioned before; pretty fantastic! Do you think you could do a summary of the postulates and a run down of the major features here? FrediFizzx http://www.vacuum-physics.com/QVC/qu...uum_charge.pdf or postscript http://www.vacuum-physics.com/QVC/qu...cuum_charge.ps http://www.vacuum-physics.com |
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#3
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FrediFizzx wrote: "Jay R. Yablon" wrote in message ... | Hello to everyone: | | My newest paper, "General Relativity, Maxwell's Electrodynamics, and the | Foundations of the Quantum Theory of Gravitation and Matter," just posted to | ArXiV. | | The link is http://arxiv.org/abs/gr-qc/0511050. | | I would very much appreciate any comments and input you may have. Hi Jay, As I mentioned before; pretty fantastic! Do you think you could do a summary of the postulates and a run down of the major features here? FrediFizzx Hi Fred and all... let me try to explain that, because Jay's helped me understand the paper, so I'm a bit 2nd hand, and a bit off-the-cuff. The paper is Maxwell's Equations (ME's) Super-charged. Reviewing back to ME's and SR we note the relation of the E and B fields in the the propagation of EMR is, E x B = c , ( = indicates direction), and "c" is the classical constant of the "velocity" of light in a vacuum. Consider E and B to be unit vectors then E x B = c = 1 in a vacuum, and importantly E.B =0 , (scalar product). When these equations for the propagation of light encounter a gravitational field, a modification occurs, so that, c is not a constant velocity. For example, the direction changes, (deflection) the speed changes (Shapiro) and the frequency changes. So we can re-write the transformed ME's in a g-field as E' x B' = c' 1 AND E'.B' 0 , the later being crucial in the paper. That is entirely consistent with taking an orthogonal ME relation E x B = c into a warped spacetime, consistent with the g-field at the location of E' etc, as a propagating EM-wave encounters a "nonorthogonal" field. Underwriting physics is mathematics. What Jay did is to use the "dual tensors" like F_uv F*^uv == E.B == F_01 F*^01 = F_01 F_23 to form invariants that become E'.B' anywhere, but included a coefficient normally marginalized in classical GR denoted, |g_uv| = g. such that F*^01 = F_23 / sqrt(-g), to decribe EM-fields. The theory permits the inclusion of "magnetic monopoles" and "negative matter", but exists fine even if those concepts are negated. Jay, around pg. 13, in the paper introduces what I call the "Principle of Equilibrium", where matter reforms by the action of potentials to tend to an entropy, by geodesics, consistent with GR, so far as a continuum theory permits. Recall PRESSURE x VOLUME/ TEMPERATURE is an invariant for an ideal gas, is firmly related to EM and GR. To establish an Equilibrium of the pressure, volume and temperature when one of those are changed the paper suggests a differential variation of the geodesics. Tucker argues the "differential" is quantized, IOW's the Equilibrium is obtained "inexactly". But the paper, highlights in specific terms, how to argue those points, and stands independant of the outcome of those arguments. Regards Ken S. Tucker |
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#4
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Ken S. Tucker wrote: FrediFizzx wrote: "Jay R. Yablon" wrote in message ... | Hello to everyone: | | My newest paper, "General Relativity, Maxwell's Electrodynamics, and the | Foundations of the Quantum Theory of Gravitation and Matter," just posted to | ArXiV. | | The link is http://arxiv.org/abs/gr-qc/0511050. | | I would very much appreciate any comments and input you may have. Hi Jay, As I mentioned before; pretty fantastic! Do you think you could do a summary of the postulates and a run down of the major features here? FrediFizzx Hi Fred and all... let me try to explain that, because Jay's helped me understand the paper, so I'm a bit 2nd hand, and a bit off-the-cuff. The paper is Maxwell's Equations (ME's) Super-charged. Reviewing back to ME's and SR we note the relation of the E and B fields in the the propagation of EMR is, E x B = c , ( = indicates direction), and "c" is the classical constant of the "velocity" of light in a vacuum. Consider E and B to be unit vectors then E x B = c = 1 in a vacuum, and importantly E.B =0 , (scalar product). When these equations for the propagation of light encounter a gravitational field, a modification occurs, so that, c is not a constant velocity. For example, the direction changes, (deflection) the speed changes (Shapiro) and the frequency changes. So we can re-write the transformed ME's in a g-field as E' x B' = c' 1 AND E'.B' 0 , the later being crucial in the paper. That is entirely consistent with taking an orthogonal ME relation E x B = c into a warped spacetime, consistent with the g-field at the location of E' etc, as a propagating EM-wave encounters a "nonorthogonal" field. Underwriting physics is mathematics. What Jay did is to use the "dual tensors" like F_uv F*^uv == E.B == F_01 F*^01 = F_01 F_23 to form invariants that become E'.B' anywhere, but included a coefficient normally marginalized in classical GR denoted, |g_uv| = g. such that F*^01 = F_23 / sqrt(-g), to decribe EM-fields. The theory permits the inclusion of "magnetic monopoles" and "negative matter", but exists fine even if those concepts are negated. I could not see how to apply to physically large dipoles either. That is a promising mechanism given that we know they work and aren't limited to SOL. Sue... Jay, around pg. 13, in the paper introduces what I call the "Principle of Equilibrium", where matter reforms by the action of potentials to tend to an entropy, by geodesics, consistent with GR, so far as a continuum theory permits. Recall PRESSURE x VOLUME/ TEMPERATURE is an invariant for an ideal gas, is firmly related to EM and GR. To establish an Equilibrium of the pressure, volume and temperature when one of those are changed the paper suggests a differential variation of the geodesics. Tucker argues the "differential" is quantized, IOW's the Equilibrium is obtained "inexactly". But the paper, highlights in specific terms, how to argue those points, and stands independant of the outcome of those arguments. Regards Ken S. Tucker |
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#5
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Ken S. Tucker wrote:
FrediFizzx wrote: "Jay R. Yablon" wrote in message ... | Hello to everyone: | | My newest paper, "General Relativity, Maxwell's Electrodynamics, and the | Foundations of the Quantum Theory of Gravitation and Matter," just posted to | ArXiV. | | The link is http://arxiv.org/abs/gr-qc/0511050. | | I would very much appreciate any comments and input you may have. Hi Jay, As I mentioned before; pretty fantastic! Do you think you could do a summary of the postulates and a run down of the major features here? FrediFizzx Hi Fred and all... let me try to explain that, because Jay's helped me understand the paper, so I'm a bit 2nd hand, and a bit off-the-cuff. The paper is Maxwell's Equations (ME's) Super-charged. Reviewing back to ME's and SR we note the relation of the E and B fields in the the propagation of EMR is, E x B = c , ( = indicates direction), and "c" is the classical constant of the "velocity" of light in a vacuum. Consider E and B to be unit vectors then E x B = c = 1 in a vacuum, and importantly E.B =0 , (scalar product). When these equations for the propagation of light encounter a gravitational field, a modification occurs, so that, c is not a constant velocity. For example, the direction changes, (deflection) the speed changes (Shapiro) and the frequency changes. So we can re-write the transformed ME's in a g-field as E' x B' = c' 1 AND E'.B' 0 , the later being crucial in the paper. That is entirely consistent with taking an orthogonal ME relation E x B = c into a warped spacetime, consistent with the g-field at the location of E' etc, as a propagating EM-wave encounters a "nonorthogonal" field. Underwriting physics is mathematics. What Jay did is to use the "dual tensors" like F_uv F*^uv == E.B == F_01 F*^01 = F_01 F_23 to form invariants that become E'.B' anywhere, but included a coefficient normally marginalized in classical GR denoted, |g_uv| = g. such that F*^01 = F_23 / sqrt(-g), to decribe EM-fields. The theory permits the inclusion of "magnetic monopoles" and "negative matter", but exists fine even if those concepts are negated. Jay, around pg. 13, in the paper introduces what I call the "Principle of Equilibrium", where matter reforms by the action of potentials to tend to an entropy, by geodesics, consistent with GR, so far as a continuum theory permits. Recall PRESSURE x VOLUME/ TEMPERATURE is an invariant for an ideal gas, is firmly related to EM and GR. To establish an Equilibrium of the pressure, volume and temperature when one of those are changed the paper suggests a differential variation of the geodesics. Tucker argues the "differential" is quantized, IOW's the Equilibrium is obtained "inexactly". But the paper, highlights in specific terms, how to argue those points, and stands independant of the outcome of those arguments. Regards Ken S. Tucker Maxwell's authentic equations applied ONLY between FLAT PLATEs.!! brian a m stuckless |
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#6
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Jay R. Yablon wrote:
The link is http://arxiv.org/abs/gr-qc/0511050. I would very much appreciate any comments and input you may have. Hi Jay, So what are your views on string/brane/loop gravity/etc theories? How do they relate to your own line of thought? Will your approach get to the ultimate unification to the satisfaction of all concerned? Also, have you submitted your papers for journal publication? How is the peer review getting on? regards, br |
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#7
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Hi Jay,
As I mentioned before; pretty fantastic! Do you think you could do a summary of the postulates and a run down of the major features here? FrediFizzx Hi Fred: The paper starts by recognizing that the conservation of total energy (matter plus gravitation) for an electromagnetic field in General Relativity (GR) is predicated on Maxwell's magnetic (second) equation = 0. This in turn is predicated on an Abelian relationship between fields and potentials. If one wishes to be able to consider non-Abelian field theories (such as weak and strong interactions) in a GR context, then we must find a way to free energy conservation from its dependence on Abelian fields. That is, we need a way to conserve energy that works for non-Abelian as well as Abelian fields. To do this, we end up using certain mathematical identities that make use of the duality formalism pioneered by Reinich and Wheeler based on Levi-Civita formalism. This formalism inherently allows for magnetic monopoles, although the ideas presented in THIS paper do not require or exclude magnetic monopoles. (My earlier papers at http://arxiv.org/abs/hep-ph/0508257 and http://arxiv.org/abs/hep-ph/0509223 directly explore the magnetic monopole question, which to me is the oldest, still unanswered question in science. Quark confinement is only ~30 years old, the magnetic monopole question has this beat by a century.) These mathematical identities, when used to ensure energy conservation for both Abelian and non-Abelian fields, lead to a new energy tensor which resembles the Maxwell tensor, but has a non-zero trace that can give rise to rest mass. (My equation (2.23), on reflection, should be written in terms of proper density, because it is not possible to transform the T^0k, T^jk=0 components to zero because of the ~g^uv proportionality that is discussed at length in section 3.) From there, we are able to derive a number of energy tensors which apply equally to Abelian and non-Abelian interactions, and which have non-zero trace energy (Tensor (3.25) is important to explore, because this tensor CAN be put into a rest frame, i.e., T^0k, T^jk=0, and seems to derive the energy out of E^2). And, we come to see that the kappa_v which describe the exchange of energy between matter and the gravitational field is dependent on the particular energy tensor one uses, i.e., just as there are a number of different types of energy tensors which depend on the material phenomenon being described, so too are there a number of different types of kappa_v and these are linked to specific energy tensors. This leads to viewing the Einstein equations as not only second, but also third-order equations in the metric. This also leads us to understand the T^uv & kappa_v relationship in terms of principles of equilibrium and disequilibrium which are gravitationally-based and which also point toward how energy is converted from one form to another. But, what may be most significant, is that the T^uv and kappa_v for a diversity of material phenomena ate all constructed out of the SAME field strength tensors, just in different configurations, so, conversion of energy from one form to another amounts to a reconfiguration of these fields. And, since we know already how to treat these fields as quantum wavefunctions, we can acquire a set of second and third order equations in the spacetime metric wherein the second and third derivatives of the metric are set equal to quantum wavefunctions. This suggests that once we can solve these equations, we will find that the metric at any given point in spacetime is itself a wavefunction with an expectation value, rather than a classical object which has a definitive value. Thus, we quantize gravitation by feeding into gravitation, wavefunctions derived from what we already known from QED and QCD and QWD (weak interaction), which sets second and third order constraint on the metric and allows quantum mechanics to be considered in a non-linear gravitational context. My main postulate -- which I will expand on in later reply to Dr. Photon, is that we build new physics very conservatively, from what works. In my view, this means three ingredients: Maxwell's electrodynamics, General Relativity, and Yang Mills / non-Abelian gauge theory. Nothing else unless compelled. The fourth ingredient I use liberally, is electric / magnetic duality, which is perhaps less traditional. Duality can be seen both as a "passive formalism" and an "active symmetry." That is, as a mathematical proposition, one can use the duality formalism to represent known phenomenon in different mathematical notation (i.e., P^u = *F^tu_t to represent a magnetic monopole current and P^u = *F^tu_t = 0 to represent the second Maxwell equation for vanishing magnetic monopoles), and one can make use of certain identities (such as (2.1) through (2.5) here) which utilize this formalism, without making any suppositions one way or the other about the existence or non-existence of magnetic or chromomagnetic monopoles. That is how duality is used, passively, in this paper. Additionally, one can use duality actively as a symmetry principle, to pursue questions such as "why do we not seem to observe magnetic monopoles in nature?" and "if magnetic monopoles do exist, how do they hide at low energies?" This is what I do in my other two papers, to arrive at the view that magnetic monopoles can be used to explain .003 out of the .005 NuTeV anomaly, and that the other .002 is accounted for with weak magnetic monopoles (which some have called the Z'). So, that's the basic overview. I'll say more as I can squeeze out some time to respond to other posts. Best to all, Jay. |
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Hi Jay, So what are your views on string/brane/loop gravity/etc theories? How do they relate to your own line of thought? Will your approach get to the ultimate unification to the satisfaction of all concerned? Hi Dr. Photon: I am very conservative as a physicist, and at the risk of sounding like a wet blanket, am very skeptical many of these "newfangled" theories. More to the point, I believe that we have not yet learned all we can from what I take as the three confirmed pillars of theoretical physics, which are Maxwell's electrodynamics, Einstein's Gravitation (including special relativity as the limiting case for a flat spacetime), and Yang Mills / Non-Abelian gauge theories which are really generalizations of Maxwell's electrodynamics from Abelian to non-Abelian groups. I also take electroweak theory as a solid pillar (except for the Higgs mechanism for mass revelation, which I see as a scaffold not a permanent structure). Finally, I think that duality as developed by Reinich and Wheeler is vastly underexploited both as passive mathematics (in the sense of simply using the mathematics of duality in our physical equations) and as an active symmetry principle (in the sense of postulating some type of duality symmetry and then asking how it gets hidden at low energies and how it might become manifest at higher energies, which is what I did in my earlier papers at http://arxiv.org/abs/hep-ph/0508257 and http://arxiv.org/abs/hep-ph/0509223). My bottom line in considering anything beyond the "pillars" I have set out above is "do we really need it? Or, is there a way to explain what we are trying to explain without it?" Insofar as 5+ dimensional theories, I do believe that the gamma-5 matrix in Dirac's equation is the structure matrix of a fifth timelike dimension as outlined briefly on my website at http://home.nycap.rr.com/jry/Papers/...%20Preview.pdf. But, I arrive at that conclusion because I believe Dirac's equation (which I view as the "square root" of Einstein's equation for the spacetime metric, viewed as an operator equation, via 2g^uv = gamma^u gamma^v + gamma^v gamma^u), taken to its logical culmination, forces us to the conclusion that gamma^5 underlies a fifth timelike dimension. And because the downstream effects of the gamma-5 matrix, such as chiral symmetry violations, show up experimentally throughout particle physics. If I were to entertain higher dimensions beyond that, it would be because I think there is something that can't be explained merely by making creative use of the pillars I have outlined above. Saying all of the same from a different viewpoint, I am a raving empiricist, and I wade with trepidation into anything that does not have some clear empirical grounding. A physicist creatively uses mathematics to describe empirical phenomena, but is NOT a mathematician per se, which is a distinction that gets lost sometimes. I want to combine what we know to be empirically true in new ways to deduce things beyond the scope of what we know, but -- speaking now as a practicing patent attorney -- by finding "novel combinations of known elements" rather than wholly new elements. I think that we can make good headway onto quantum gravity using what we already know about QED and QCD and QWD and gravitational theory and the mathematics of duality, and that we don't need to mix in anything else to make such progress. Okkum's razor: use only what is necessary and nothing more. As my paper outlines, what we need to do is develop the quantum wavefunctions for the fields and currents, plug them into the Energy tensors and the associated kappa_v, and then relate that all to the metric in second and third differential order. Then, solve for the metric, and you will already have built into from scratch, by construction, all that we know about QED and QCD and QWD. Now, I come to a place where I can entertain "string/brane/loop gravity/etc theories." Once we obtain solutions for the metric in this way, we will be staring at a geometric g_uv entity that embeds what we empirically know about all of QED and QCD and QWD. It will not look like the metrics we are used to. It will represent the geometry of quantum mechanics. It will probably give us a different slant on singularities. My guess is that when the dust settles and we have some solutions for the metric following the recipe I have set out in this paper, someone will stare at one of those metrics and notice that they look very much like something out of brane theory or string theory or SUSY whatever, and may then find that these theories provide some further mathematical tools to exploit what we learn about the metric by solving second and third order differential equation for the metric in terms of known, empirically-established, quantum-number-characterized-into-discrete-states wavefunctions. Once that is the case, that is, once it is possible to identify some form of isomorphic relationship between spacetime metric derived as the second and third integral of quantum wavefunctions and some mathematical entities that show up in "string/brane/loop gravity/etc theories," I will be completely on board with those theories. Because, it will have been demonstrated that what they describe is built from the ground up, empirically, or can be connected to something with a clear empirical grounding. Let's not guess so much about nature; let's take what we already know and exploit it to the hilt to learn some new things we don't know. Also, have you submitted your papers for journal publication? How is the peer review getting on? I did not submit the earlier two papers. I DO plan to submit this new paper, but first want to vet this paper so that I can get any of the "kinks" out. And, of course, so that any serious flaws (which of course I hope are non-existent) can be identified. We take one step at a time, and each step in its proper turn. Thanks for the opportunity to discuss. Jay. regards, br |
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#9
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Jay, around pg. 13, in the paper introduces what I call the
"Principle of Equilibrium", where matter reforms by the action of potentials to tend to an entropy, by geodesics, consistent with GR, so far as a continuum theory permits. Recall PRESSURE x VOLUME/ TEMPERATURE is an invariant for an ideal gas, is firmly related to EM and GR. To establish an Equilibrium of the pressure, volume and temperature when one of those are changed the paper suggests a differential variation of the geodesics. Tucker argues the "differential" is quantized, IOW's the Equilibrium is obtained "inexactly". Hi Ken: Please explain as clearly as possible what you are seeing here. I would agree that in principle, matter must exchange energy with the gravitational field in discrete "packets" not continuously. Planck's delta E = n h-bar frequency. But, you seem to think that this quantization actually emerges out of the "Principle of Equilibrium" and might be cranked out of the equations already in the paper. How? It would be fantastic if these results can self-quantize the energy exchanges between matter and gravitational field. Jay. |
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#10
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Ken S. Tucker wrote: FrediFizzx wrote: "Jay R. Yablon" wrote in message ... | Hello to everyone: | | My newest paper, "General Relativity, Maxwell's Electrodynamics, and the | Foundations of the Quantum Theory of Gravitation and Matter," just posted to | ArXiV. | | The link is http://arxiv.org/abs/gr-qc/0511050. | | I would very much appreciate any comments and input you may have. Hi Jay, As I mentioned before; pretty fantastic! Do you think you could do a summary of the postulates and a run down of the major features here? FrediFizzx Hi Fred and all... let me try to explain that, because Jay's helped me understand the paper, so I'm a bit 2nd hand, and a bit off-the-cuff. The paper is Maxwell's Equations (ME's) Super-charged. Reviewing back to ME's and SR we note the relation of the E and B fields in the the propagation of EMR is, E x B = c , ( = indicates direction), and "c" is the classical constant of the "velocity" of light in a vacuum. Consider E and B to be unit vectors then E x B = c = 1 in a vacuum, and importantly E.B =0 , (scalar product). When these equations for the propagation of light encounter a gravitational field, a modification occurs, so that, c is not a constant velocity. For example, the direction changes, (deflection) the speed changes (Shapiro) and the frequency changes. So we can re-write the transformed ME's in a g-field as E' x B' = c' 1 AND E'.B' 0 , the later being crucial in the paper. That is entirely consistent with taking an orthogonal ME relation E x B = c into a warped spacetime, consistent with the g-field at the location of E' etc, as a propagating EM-wave encounters a "nonorthogonal" field. An induced dipole would restructure itself to the sum of the light and the gravity radiation. Underwriting physics is mathematics. What Jay did is to use the "dual tensors" like F_uv F*^uv == E.B == F_01 F*^01 = F_01 F_23 to form invariants that become E'.B' anywhere, but included a coefficient normally marginalized in classical GR denoted, |g_uv| = g. such that F*^01 = F_23 / sqrt(-g), to decribe EM-fields. The theory permits the inclusion of "magnetic monopoles" and "negative matter", but exists fine even if those concepts are negated. Magnetic monopoles might be necessary to represent larger than atom sized oscillators. Whether Jay's interchange of E and B terms has the coupling to keep a pair of monopoles matched is some concern. The formalism may need something like the clocks on Feynman's photons to achieve this... or it may already be there. I have not gotten that deep in it. Jay, around pg. 13, in the paper introduces what I call the "Principle of Equilibrium", where matter reforms by the action of potentials to tend to an entropy, by geodesics, consistent with GR, so far as a continuum theory permits. Recall PRESSURE x VOLUME/ TEMPERATURE is an invariant for an ideal gas, is firmly related to EM and GR. To establish an Equilibrium of the pressure, volume and temperature when one of those are changed the paper suggests a differential variation of the geodesics. Tucker argues the "differential" is quantized, IOW's the Equilibrium is obtained "inexactly". But the paper, highlights in specific terms, how to argue those points, and stands independant of the outcome of those arguments. Regards Ken S. Tucker Also for Jay's qestion about gravitational self quantizing... which I am not answering on your behalf. but I have given it some tho't. Where Biot Savart or triple integration is a spatial modulation, with magnetism as the non-vanishing component, London or induced dipole forces can be viewed as a temporal modulation where charges screen each other but have sky apertures for tiny windows of time. If you understand his question differently, scuse me for steppin' on your toes. )Sue... |
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