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| Tags: axisymmetric, based, deriving, draft, einsteins, equations, force, law, lorentz, nonempty, paper, solution, stationary |
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#1
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Dear friends,
I have just posted a DRAFT paper to: http://home.nycap.rr.com/jry/Papers/...ce%20Paper.pdf This paper is titled: "Is the Lorentz Force Law Based Upon a Relation Between rho=mu+p Perfect Fluids and alpha=1 Kerrighan-Type Electromagnetic Energy Tensors?" I would appreciate your review and comment on this draft before I consider next steps. The abstract is as follows: It is demonstrated how the Lorentz force law is a direct consequence of relating a perfect fluid tensor T^uv_Euler for which the rest mass density rho is related to the energy density me and pressure p according to rho=mu+p, with an electromagnetic energy tensor T^uv with certain uniqueness conditions established by Kerrighan in the early-1980s, and by in turn relating both of these tensors with the Einstein tensor R^uv - ½ g^uvR. We then use these relationships -- which are effectively the first integral of the Lorentz force law -- to first establish the metric tensor g_uv using the known general solution for a non-empty stationary axisymmetric perfect fluid, and then, to specify the electromagnetic fields underlying the structure of this perfect fluid for which the equation of motion is the Lorentz force law. The key advance, is showing that a solution does exist to the Einstein equations which is fully compatible with, and indeed is based upon, the Lorentz force law. I do want to emphasize that this is a work in progress. But, it is now developed far enough that a posting seeking input is warranted at this time. 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 ... | Dear friends, | | I have just posted a DRAFT paper to: | | http://home.nycap.rr.com/jry/Papers/...ce%20Paper.pdf Yeah yeah... http://www.sciencejoywagon.com/physi...rentzforce.htm Squirrel cage single phase electric motors can run either counterclockwise or clockwise. http://en.wikipedia.org/wiki/Electric_motor Which is the correct direction for the Lorentz force? Androcles. | | This paper is titled: "Is the Lorentz Force Law Based Upon a Relation | Between rho=mu+p Perfect Fluids and alpha=1 Kerrighan-Type Electromagnetic | Energy Tensors?" | | I would appreciate your review and comment on this draft before I consider | next steps. | | The abstract is as follows: | | It is demonstrated how the Lorentz force law is a direct consequence of | relating a perfect fluid tensor T^uv_Euler for which the rest mass density | rho is related to the energy density me and pressure p according to | rho=mu+p, with an electromagnetic energy tensor T^uv with certain uniqueness | conditions established by Kerrighan in the early-1980s, and by in turn | relating both of these tensors with the Einstein tensor R^uv - = g^uvR. We | then use these relationships -- which are effectively the first integral of | the Lorentz force law -- to first establish the metric tensor g_uv using the | known general solution for a non-empty stationary axisymmetric perfect | fluid, and then, to specify the electromagnetic fields underlying the | structure of this perfect fluid for which the equation of motion is the | Lorentz force law. The key advance, is showing that a solution does exist | to the Einstein equations which is fully compatible with, and indeed is | based upon, the Lorentz force law. | | I do want to emphasize that this is a work in progress. But, it is now | developed far enough that a posting seeking input is warranted at this time. | | Very truly yours, | | Jay R. Yablon | _____________________________ | Jay R. Yablon | Email: | | |
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#3
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Jay R. Yablon wrote: Dear friends, I have just posted a DRAFT paper to: http://home.nycap.rr.com/jry/Papers/...ce%20Paper.pdf This paper is titled: "Is the Lorentz Force Law Based Upon a Relation Between rho=mu+p Perfect Fluids and alpha=1 Kerrighan-Type Electromagnetic Energy Tensors?" The temperature dependence of electromagnetic forces! Try slipping that one past this bunch They weren't entirely fond of that notion 5 or 6 years ago when I hashed through the thermodynamic relationships between charges. I, OTOH, commend you for reaching what I thought was an obvious conclusion. Your math was beyond me, but the arguments that I understood were refreshing. Keep up the good work. Richard Perry |
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#4
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Jay R. Yablon wrote: Dear friends, I have just posted a DRAFT paper to: http://home.nycap.rr.com/jry/Papers/...ce%20Paper.pdf This paper is titled: "Is the Lorentz Force Law Based Upon a Relation Between rho=mu+p Perfect Fluids and alpha=1 Kerrighan-Type Electromagnetic Energy Tensors?" The temperature dependence of electromagnetic forces! Try slipping that one past this bunch They weren't entirely fond of that notion 5 or 6 years ago when I hashed through the thermodynamic relationships between charges. I, OTOH, commend you for reaching what I thought was an obvious conclusion. Your math was beyond me, but the arguments that I understood were refreshing. Keep up the good work. Richard Perry Thanks Richard. I am waiting for my post to go up on SPR, but as you know, there is usually a bit of lag time. The temperature / pressure / entropy dependence actually makes sense if you get to the bottom line question: what is the motion of a particle in ANY set of circumstances. Not Lorentz motion, or gravitational motion, or motion from pressure or temperature, but "motion motion." The composite result of ALL the physical factors which play into the motion. What I derive in section 5 is an equation of motion which includes Lorentz motion, plus an extra term which we show in section 6 can be related to entropy, temperature, and pressure. We can either say that the Lorentz motion is "different" from the conventional Lorentz motion because of these extra terms, or we can say that the Lorentz motion is the same as always, but that is just one more contribution to the total motion and now we known not only how Lorentz forces and gravitational forces affect the total motion, but how the thermodynamics of the local environment also affects the motion. Sort of like if I am falling freely in gravitational motion and then I hit the ground, there is more than one factor affecting my motion, and it strains the point to say that there is a different law for gravitational motion one I hit the ground. Rather, another set of physics principles come into play. If one says that there should be no thermodynamic effects on the Lorentz motion, it is like saying that hitting the ground should not affect my gravitational motion. Non-sequiter. Jay. |
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#5
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Jay R. Yablon wrote:
Dear friends, I have just posted a DRAFT paper to: http://home.nycap.rr.com/jry/Papers/...ce%20Paper.pdf This paper is titled: "Is the Lorentz Force Law Based Upon a Relation Between rho=mu+p Perfect Fluids and alpha=1 Kerrighan-Type Electromagnetic Energy Tensors?" I would appreciate your review and comment on this draft before I consider next steps. The abstract is as follows: It is demonstrated how the Lorentz force law is a direct consequence of relating a perfect fluid tensor T^uv_Euler for which the rest mass density rho is related to the energy density me and pressure p according to rho=mu+p, with an electromagnetic energy tensor T^uv with certain uniqueness conditions established by Kerrighan in the early-1980s, and by in turn relating both of these tensors with the Einstein tensor R^uv - ½ g^uvR. We then use these relationships -- which are effectively the first integral of the Lorentz force law -- to first establish the metric tensor g_uv using the known general solution for a non-empty stationary axisymmetric perfect fluid, and then, to specify the electromagnetic fields underlying the structure of this perfect fluid for which the equation of motion is the Lorentz force law. The key advance, is showing that a solution does exist to the Einstein equations which is fully compatible with, and indeed is based upon, the Lorentz force law. I do want to emphasize that this is a work in progress. But, it is now developed far enough that a posting seeking input is warranted at this time. Very truly yours, Jay R. Yablon Consider all the matter in the universe "illuminates" [(8.7) or fourier transfom in Ewald] the ball producing an induction field whose flux lines (6.5) (6.6) (6.7) ( 6.7) converge at a point near the balls centre of gravity. Call it a barycentre. The couplings that define the barycenter will minimise their energy exchange when the centre of gravity and the barycentre are co-located ....and the induced domains describe gaussian surfaces. (spheres or elipsoids) http://www.chem.purdue.edu/gchelp/liquids/inddip.html Throwing the ball actually elongates molecular domains. The ball then moves through the illumination 'till the more spherically shaped domain is restored .....and the barycentre is co-located with the centre of gravity. http://www.research.ibm.com/grape/grape_ewald.htm --------- Yep... you are using more of the right exponents and they are moving closer to where they belong. I like 6, 3 and 2. )An axis of symetry helps to simplify the complexity of the brute force Ewald but I can't convince myself that derivatives 4,8,12,16... in (7.6) are establishing an axis of symetry tho' they may be qualifying one. sqrt (-g) sounds like somthing that might make a perfect Lorentz fluid 'cause ya have to advance and retard the potential over the path. Checking EB orthogonal in Lorenz gauge might catch only the induction componet. :-) I'm not sure the thermodynamic study is helping you any. The speed of the motion vanishes when you transfom E to B, Eh? Don't expect me to elaborate further. I can barely read what I wrote and your tensors are all Greek. Regards, Sue... _____________________________ Jay R. Yablon Email: |
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#6
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Jay wrote:
I am waiting for my post to go up on SPR, but as you know, there is usually a bit of lag time. So while you're waiting, you'll improperly crosspost it on the unmoderated groups. Frankly, you should be grateful that the moderators at sci.physics.research have allowed you to repeatedly spam your work there. Can you imagine the mess if everyone who wrote a draft on a web page or published to arxiv did likewise? [..] Sort of like if I am falling freely in gravitational motion and then I hit the ground, there is more than one factor affecting my motion, and it strains the point to say that there is a different law for gravitational motion one I hit the ground. Rather, another set of physics principles come into play. If one says that there should be no thermodynamic effects on the Lorentz motion, it is like saying that hitting the ground should not affect my gravitational motion. Non-sequiter. Umm, the Lorentz force law yields a force (obviously?). To get to equations of motion, the vector sum of all forces is used, or so they told me in Physics 101. In the Newtonian limit, gravity can be considered a force. The electromagnetic forces from the ground are another part of the total force. If you're at rest after hitting the ground, the vector sum of all forces is zero. The non sequitur here appears to be "gravitational motion". I hope your paper uses better logic than the analogy you presented. ---Tim Shuba--- |
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#7
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The non sequitur here appears to be "gravitational motion". I hope your paper uses better logic than the analogy you presented. Well, Tim, please take a look at the paper and then let us know what you think. Jay. |
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#8
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Jay wrote:
The non sequitur here appears to be "gravitational motion". I hope your paper uses better logic than the analogy you presented. Well, Tim, please take a look at the paper and then let us know what you think. Sorry Jay, but it's probably going to be a long time if ever before I read your paper. I actually think it's pretty cool that you've received some positive feedback from some of your posts to sci.physics.research. Figure that. ---Tim Shuba--- |
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#9
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I actually think it's pretty cool that you've received some positive feedback from some of your posts to sci.physics.research. Figure that. Well, Tim, I did get some hard knocks last time through and I think I learned a few things since. Jay. |
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#10
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RP wrote: Jay R. Yablon wrote: Dear friends, I have just posted a DRAFT paper to: http://home.nycap.rr.com/jry/Papers/...ce%20Paper.pdf This paper is titled: "Is the Lorentz Force Law Based Upon a Relation Between rho=mu+p Perfect Fluids and alpha=1 Kerrighan-Type Electromagnetic Energy Tensors?" The temperature dependence of electromagnetic forces! Try slipping that one past this bunch They weren't entirely fond of that notion 5 or 6years ago when I hashed through the thermodynamic relationships between charges. I, OTOH, commend you for reaching what I thought was an obvious conclusion. Your math was beyond me, but the arguments that I understood were refreshing. Keep up the good work. Richard Perry Right! Mr. Yablon reveals the creative process associated with working with GR. My physical understanding of Yablon's use of temperature follows... Suppose we have an atom at absolute zero with nucleus "+" and electrons "-" that looks like, (+,-). Now suppose that atom absorbs a photon that sends an electron(s) to a higher orbital that looks like (+,,-), that I would call is a higher temperature, energy and thus mass of that atom. The presumption is of course the Lorentz Force holds true in all circumstances, but what is that Lorentz force when the mass and EM-field is altered? The only way to know that is to carefully apply the conservation laws as mass and EM-fields change, and that is in accord with General Relativity that Yablon has relied on and detailed. There may be spectral evidence to support that conclusion, and additionally, greater evidence in High Energy Physics as Yablon extends his analysis into Chromo-dynamics. Regards Ken S. Tucker PS: Cheers Jay! |
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