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Sue: paraphrase style in brackets []. Woodward: Roughly, the modern instantaneous action argument goes as follows. In general relativity theory matter "there" tells space "here" how to curve, Sue: [induced dipoles there tell induced dipoles here their shape] and space "here" tells matter "here" how to move. Sue: [induced dipoles here attract induced dipoles there] (Matter "here" also tells space "there" how to curve.) Thus, in order to talk about any situation in dynamics we must specify the distribution and motion of matter throughout space. (Strictly speaking, we must provide "initial data" on some suitably chosen "three dimensional spacelike hypersurface".) The usual field equations for gravity (Einstein's equations) are not enough, by themselves, to do this it turns out. Because of the finite propagation velocity built into them, we might specify some distribution of matter that subsequently leads to idiotic results. To make sure this doesn't happen, our distribution of matter has to satisfy some additional equations called "constraint" equations. The neat thing about these constraint equations is that, unlike the field equations, they're instantaneous. (Technically, they're "elliptic" rather than "hyperbolic" differential equations.) It's then claimed that inertia is conveyed by the constraint equations -- instantaneously. The use of constraint equations to communicate real physical influences instantaneously is justified by appeal to the instantaneous propagation of stationary electric fields in the Coulomb gauge. Appologies to: James F. Woodward http://chaos.fullerton.edu/~jimw/general/inertia/ http://chaos.fullerton.edu/~jimw/gen...ertia/nord.htm The mystery in such a substitution is what mechanism similar to... ============ RA AR +- -+ -+ +- http://www.elmhurst.edu/~chm/vchembo...ntermolec.html http://web.umr.edu/~gbert/INTERACT/intermolecular.HTM http://polymer.bu.edu/Wasser/robert/work/node9.html ============ ....what mechanism can increase the attractive force before an object and decrease the attractive force behind an object, in proportion to the applied force of acceleration? Sue... http://hyperphysics.phy-astr.gsu.edu...ric/elepe.html http://hyperphysics.phy-astr.gsu.edu...ic/elefor.html http://arxiv.org/abs/physics/0204034 -- Using Opera's revolutionary e-mail client: http://www.opera.com/mail/ |
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#2
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sue jahn wrote: Sue: paraphrase style in brackets []. Woodward: Roughly, the modern instantaneous action argument goes as follows. In general relativity theory matter "there" tells space "here" how to curve, Sue: [induced dipoles there tell induced dipoles here their shape] and space "here" tells matter "here" how to move. Sue: [induced dipoles here attract induced dipoles there] (Matter "here" also tells space "there" how to curve.) Thus, in order to talk about any situation in dynamics we must specify the distribution and motion of matter throughout space. (Strictly speaking, we must provide "initial data" on some suitably chosen "three dimensional spacelike hypersurface".) The usual field equations for gravity (Einstein's equations) are not enough, by themselves, to do this it turns out. Because of the finite propagation velocity built into them, we might specify some distribution of matter that subsequently leads to idiotic results. To make sure this doesn't happen, our distribution of matter has to satisfy some additional equations called "constraint" equations. The neat thing about these constraint equations is that, unlike the field equations, they're instantaneous. (Technically, they're "elliptic" rather than "hyperbolic" differential equations.) It's then claimed that inertia is conveyed by the constraint equations -- instantaneously. The use of constraint equations to communicate real physical influences instantaneously is justified by appeal to the instantaneous propagation of stationary electric fields in the Coulomb gauge. Appologies to: James F. Woodward http://chaos.fullerton.edu/~jimw/general/inertia/ http://chaos.fullerton.edu/~jimw/gen...ertia/nord.htm The mystery in such a substitution is what mechanism similar to... ============ RA AR +- -+ -+ +- http://www.elmhurst.edu/~chm/vchembo...ntermolec.html http://web.umr.edu/~gbert/INTERACT/intermolecular.HTM http://polymer.bu.edu/Wasser/robert/work/node9.html ============ ...what mechanism can increase the attractive force before an object and decrease the attractive force behind an object, in proportion to the applied force of acceleration? Sue... http://hyperphysics.phy-astr.gsu.edu...ric/elepe.html http://hyperphysics.phy-astr.gsu.edu...ic/elefor.html http://arxiv.org/abs/physics/0204034 -- Using Opera's revolutionary e-mail client: http://www.opera.com/mail/ xxein: [Sue: ...what mechanism can increase the attractive force before an object and decrease the attractive force behind an object, in proportion to the applied force of acceleration?] Gravity. The multi-orbital behavior 'moons'. Acceleration is not limited to speed. You wish to use the term "force" for this? I don't particularly mind, but Einteinians do. Can you define acceleration in a many-bodied gravitational system? I think that there is an objective physic in existence that we cannot fathom yet. We tend to make a physic out of our subjective observations (relative). Do you really think that relative-based observations (a partial set) can describe the overall objectivity (the whole set)? Can't anybody realise that velocities and addition of velocities depend upon a rest-based theory called relativity that cannot synchronize clocks except for rest-based relativity? When did this universe last have rest? Ans: When we invented it. While it is true that relativity theory describes a timely form of cause and effect, it is just locally applicable with locally applied time. It is very good... if you like a local physics that cannot describe or correlate to quantums or strings. (I hate strings) In a nutshell, we are in one, and nobody seems to realise it. |
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Sue... wrote: .... Many thanks for the obeservation about the term 'force'. At some point, a poor choice between force, energy, acceleration or potential can hide the trees in the forest. The correct choice would show the clearest relation between mass, gravity and inertia yet be something a bit more formal than a professor riding in a lift. Sue... Hi Sue, Ken here... Your cuddling to the Electo-vacuum solution to the EFE's (Einstein Field Equations), however in agreement with your inclination, the solution departs from a continuum. That is to say, the EFE's do require relations in the way you are seeking. For example, take a pair of charges "a" and "b" and they have some configurational energy, p = a*b/s, in ergs for example. Slap the behind (dividing by volume) and get the energy density, T00= p/s^3 == a*b/s^4. Now, pause and ponder this, T00= (a/s^2)*(b/s^2) = E(a)*E(b) = a*b/s^4, where E(a) & E(b) are Electric fields of charge "a" and some other charges. Sue, the above departs from the classical solution to EFE's that uses a continum, but who cares, that's pretty junky now. If you like that's Tuckers "noncontinuum solution to the Electrovacuum EFE's", I mean that. Once T00 is defined that way, we can enjoy G00 by G_uv = T_uv , G00 = T00. OO scary equation, I'm shakin in my boots. Twist & shout, G00 = NABLA^2 g00 = T00. Solve for g00 and find, g00 = 1 + (a/s)(b/s), provided the charges don't masturbate, so terms like self energization "a^2/s" are excluded including a^2/s^4. Sue want's a solution using discrete charges I figure we should give girls what they need. At this point we have a closed logic system consistent with the EFE's and discrete, where discrete means charge "a" is in a different location than "b", and the metric is defined by the relation. See, the continuum died. With Sues ableness to put things behind us, we can proceed to observe the asymmetry of the relative geodesics of charges "a" and "b". I'll stop here, take questions, and if you want, show how nonsymetrical metrics give the EM field. Regards Sue Ken S. Tucker |
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Ken S. Tucker wrote:
Sue... wrote: ... Many thanks for the obeservation about the term 'force'. At some point, a poor choice between force, energy, acceleration or potential can hide the trees in the forest. The correct choice would show the clearest relation between mass, gravity and inertia yet be something a bit more formal than a professor riding in a lift. Sue... Hi Sue, Ken here... Your cuddling to the Electo-vacuum solution to the EFE's (Einstein Field Equations), however in agreement with your inclination, the solution departs from a continuum. That is to say, the EFE's do require relations in the way you are seeking. You are so far forward on your skis that you missed a high crime right under your nose. For example, take a pair of charges "a" and "b" and they have some configurational energy, p = a*b/s, in ergs for example. Slap the behind (dividing by volume) and get the energy density, T00= p/s^3 == a*b/s^4. Now, pause and ponder this, T00= (a/s^2)*(b/s^2) = E(a)*E(b) = a*b/s^4, where E(a) & E(b) are Electric fields of charge "a" and some other charges. Sue, the above departs from the classical solution to EFE's that uses a continum, but who cares, that's pretty junky now. If you like that's Tuckers "noncontinuum solution to the Electrovacuum EFE's", I mean that. Once T00 is defined that way, we can enjoy G00 by G_uv = T_uv , G00 = T00. OO scary equation, I'm shakin in my boots. Twist & shout, G00 = NABLA^2 g00 = T00. Solve for g00 and find, g00 = 1 + (a/s)(b/s), provided the charges don't masturbate, so terms like self energization "a^2/s" are excluded including a^2/s^4. Sue want's a solution using discrete charges I figure we should give girls what they need. At this point we have a closed logic system consistent with the EFE's and discrete, where discrete means charge "a" is in a different location than "b", and the metric is defined by the relation. See, the continuum died. With Sues ableness to put things behind us, we can proceed to observe the asymmetry of the relative geodesics of charges "a" and "b". I'll stop here, take questions, and if you want, show how nonsymetrical metrics give the EM field. So... where is the force term ? When I push on a object, I expect it to push back? Hint: We can't apply force to an object. We must apply force *between* a pair of objects. Now... !!! You can use your field equations to show why the exponents in the these expression are really the same. Field intensity: 1/r^2 a = 1/2 mv^2 That assumes the two objects are far enough apart to ignore Lorentz, Van der Waal and London force. You are mis-spellin the word TWO TOO means in addition to; also; furtha-more. including a^2/s^4. Hmmm.. That looks to be some dialect of the English language that would be encouraging to see fall out of all those Goo-Goo expressions. Goo-Goo to you TOO ;-) Soo... Regards Sue Ken S. Tucker |
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#6
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wrote: sue jahn wrote: Sue: paraphrase style in brackets []. Woodward: Roughly, the modern instantaneous action argument goes as follows. In general relativity theory matter "there" tells space "here" how to curve, Sue: [induced dipoles there tell induced dipoles here their shape] and space "here" tells matter "here" how to move. Sue: [induced dipoles here attract induced dipoles there] (Matter "here" also tells space "there" how to curve.) Thus, in order to talk about any situation in dynamics we must specify the distribution and motion of matter throughout space. (Strictly speaking, we must provide "initial data" on some suitably chosen "three dimensional spacelike hypersurface".) The usual field equations for gravity (Einstein's equations) are not enough, by themselves, to do this it turns out. Because of the finite propagation velocity built into them, we might specify some distribution of matter that subsequently leads to idiotic results. To make sure this doesn't happen, our distribution of matter has to satisfy some additional equations called "constraint" equations. The neat thing about these constraint equations is that, unlike the field equations, they're instantaneous. (Technically, they're "elliptic" rather than "hyperbolic" differential equations.) It's then claimed that inertia is conveyed by the constraint equations -- instantaneously. The use of constraint equations to communicate real physical influences instantaneously is justified by appeal to the instantaneous propagation of stationary electric fields in the Coulomb gauge. Appologies to: James F. Woodward http://chaos.fullerton.edu/~jimw/general/inertia/ http://chaos.fullerton.edu/~jimw/gen...ertia/nord.htm The mystery in such a substitution is what mechanism similar to... ============ RA AR +- -+ -+ +- http://www.elmhurst.edu/~chm/vchembo...ntermolec.html http://web.umr.edu/~gbert/INTERACT/intermolecular.HTM http://polymer.bu.edu/Wasser/robert/work/node9.html ============ ...what mechanism can increase the attractive force before an object and decrease the attractive force behind an object, in proportion to the applied force of acceleration? Sue... http://hyperphysics.phy-astr.gsu.edu...ric/elepe.html http://hyperphysics.phy-astr.gsu.edu...ic/elefor.html http://arxiv.org/abs/physics/0204034 -- Using Opera's revolutionary e-mail client: http://www.opera.com/mail/ xxein: [Sue: ...what mechanism can increase the attractive force before an object and decrease the attractive force behind an object, in proportion to the applied force of acceleration?] Gravity. The multi-orbital behavior 'moons'. Acceleration is not limited to speed. You wish to use the term "force" for this? I don't particularly mind, but Einteinians do. Can you define acceleration in a many-bodied gravitational system? Actually, after a little prodding and harassment from KST ),I think we can. If we gauge the force used to separate a pair of planets or Cavendish weights, it is not hard to see the mechanism of induced dipoles providing the reaction force we measure and a conformance with both the inverse square law and the the acceleration law. 1/r^2 a = 1/2 mv^2 When the two masses are far apart and we use a thin wire or rod to conduct the force between, is is not so easy to see how induced dipoles enter into the reaction force or 'inertia'. The solution might be very simple. All the other induced dipoles in the universe have a 'grip' on the masses that will change only as they approach more populus regions of space. Some may object over concerns of instaneous action at distance but that doesn't need to apply where the coupling to existing Coulomb lines are locally modifed as the structure of the induced dipole adapts to the field. So... your holistic, or all is one, nutshell notion seems it could be considered integral to inertial behavior. Sue... I think that there is an objective physic in existence that we cannot fathom yet. We tend to make a physic out of our subjective observations (relative). Do you really think that relative-based observations (a partial set) can describe the overall objectivity (the whole set)? Can't anybody realise that velocities and addition of velocities depend upon a rest-based theory called relativity that cannot synchronize clocks except for rest-based relativity? When did this universe last have rest? Ans: When we invented it. While it is true that relativity theory describes a timely form of cause and effect, it is just locally applicable with locally applied time. It is very good... if you like a local physics that cannot describe or correlate to quantums or strings. (I hate strings) In a nutshell, we are in one, and nobody seems to realise it. |
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#7
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Ken S. Tucker wrote:
Sue... wrote: ... Many thanks for the obeservation about the term 'force'. At some point, a poor choice between force, energy, acceleration or potential can hide the trees in the forest. The correct choice would show the clearest relation between mass, gravity and inertia yet be something a bit more formal than a professor riding in a lift. Sue... Hi Sue, Ken here... Your cuddling to the Electo-vacuum solution to the EFE's (Einstein Field Equations), however in agreement with your inclination, the solution departs from a continuum. That is to say, the EFE's do require relations in the way you are seeking. The wiki URL you posted in another thread, inspired a bit of window shopping and I sort of like the way this outfit looks on induced dipoles: Phenomena which can be modeled by null dust solutions include: a beam of massless neutrinos (treated according to classical physics), a very high-frequency electromagnetic wave, a beam of incoherent electromagnetic radiation. In particular, a plane wave of incoherent electromagnetic radiation is a linear superposition of plane waves, all moving in the same direction but having randomly chosen phases and frequencies. (Even though the Einstein field equation is nonlinear, a linear superposition of comoving plane waves is possible.) Here, each electromagnetic plane wave has a well defined frequency and phase, but the superposition does not. Individual electromagnetic plane waves are modeled by null electrovacuum solutions, while an incoherent mixture can be modeled by a null dust. http://en.wikipedia.org/wiki/Null_dust_solution I don't read the shorthand well enough to know it that is what you are modeling below. I am not at all comfortable with the freewheeling interchange of E and B *outside the particle* but that may be valid way to derive forces from incoherent radiation. A null dust seems to be the best description of induced dipoles. Sue... For example, take a pair of charges "a" and "b" and they have some configurational energy, p = a*b/s, in ergs for example. Slap the behind (dividing by volume) and get the energy density, T00= p/s^3 == a*b/s^4. Now, pause and ponder this, T00= (a/s^2)*(b/s^2) = E(a)*E(b) = a*b/s^4, where E(a) & E(b) are Electric fields of charge "a" and some other charges. Sue, the above departs from the classical solution to EFE's that uses a continum, but who cares, that's pretty junky now. If you like that's Tuckers "noncontinuum solution to the Electrovacuum EFE's", I mean that. Once T00 is defined that way, we can enjoy G00 by G_uv = T_uv , G00 = T00. OO scary equation, I'm shakin in my boots. Twist & shout, G00 = NABLA^2 g00 = T00. Solve for g00 and find, g00 = 1 + (a/s)(b/s), provided the charges don't masturbate, so terms like self energization "a^2/s" are excluded including a^2/s^4. Sue want's a solution using discrete charges I figure we should give girls what they need. At this point we have a closed logic system consistent with the EFE's and discrete, where discrete means charge "a" is in a different location than "b", and the metric is defined by the relation. See, the continuum died. With Sues ableness to put things behind us, we can proceed to observe the asymmetry of the relative geodesics of charges "a" and "b". I'll stop here, take questions, and if you want, show how nonsymetrical metrics give the EM field. Regards Sue Ken S. Tucker |
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#8
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Sue... wrote: Ken S. Tucker wrote: Sue... wrote: ... Many thanks for the obeservation about the term 'force'. At some point, a poor choice between force, energy, acceleration or potential can hide the trees in the forest. The correct choice would show the clearest relation between mass, gravity and inertia yet be something a bit more formal than a professor riding in a lift. Sue... Hi Sue, Ken here... Your cuddling to the Electo-vacuum solution to the EFE's (Einstein Field Equations), however in agreement with your inclination, the solution departs from a continuum. That is to say, the EFE's do require relations in the way you are seeking. The wiki URL you posted in another thread, inspired a bit of window shopping and I sort of like the way this outfit looks on induced dipoles: I should have provided that ref to you, so you don't think I'm a TOTAL lunatic, but just partly loony:-). That wiki on GR is pretty good, the authors are trying hard, I follow the discussion. Phenomena which can be modeled by null dust solutions include: a beam of massless neutrinos (treated according to classical physics), a very high-frequency electromagnetic wave, a beam of incoherent electromagnetic radiation. In particular, a plane wave of incoherent electromagnetic radiation is a linear superposition of plane waves, all moving in the same direction but having randomly chosen phases and frequencies. (Even though the Einstein field equation is nonlinear, a linear superposition of comoving plane waves is possible.) Here, each electromagnetic plane wave has a well defined frequency and phase, but the superposition does not. Individual electromagnetic plane waves are modeled by null electrovacuum solutions, while an incoherent mixture can be modeled by a null dust. http://en.wikipedia.org/wiki/Null_dust_solution I don't read the shorthand well enough to know it that is what you are modeling below. I am not at all comfortable with the freewheeling interchange of E and B *outside the particle* but that may be valid way to derive forces from incoherent radiation. A null dust seems to be the best description of induced dipoles. Sue... I think no one is satisfied yet. It seems GR is being treated as a extension of Newtons continuum theory, and of course that makes it's fusion with QT difficult because QT is a theory about relations, and not about points on a continuum. OTOH I see GR as naturally a relation theory, such as relating two simple charges "a" and "b" below. Regards Ken S. Tucker For example, take a pair of charges "a" and "b" and they have some configurational energy, p = a*b/s, in ergs for example. Slap the behind (dividing by volume) and get the energy density, T00= p/s^3 == a*b/s^4. Now, pause and ponder this, T00= (a/s^2)*(b/s^2) = E(a)*E(b) = a*b/s^4, where E(a) & E(b) are Electric fields of charge "a" and some other charges. Sue, the above departs from the classical solution to EFE's that uses a continum, but who cares, that's pretty junky now. If you like that's Tuckers "noncontinuum solution to the Electrovacuum EFE's", I mean that. Once T00 is defined that way, we can enjoy G00 by G_uv = T_uv , G00 = T00. OO scary equation, I'm shakin in my boots. Twist & shout, G00 = NABLA^2 g00 = T00. Solve for g00 and find, g00 = 1 + (a/s)(b/s), provided the charges don't masturbate, so terms like self energization "a^2/s" are excluded including a^2/s^4. Sue want's a solution using discrete charges I figure we should give girls what they need. At this point we have a closed logic system consistent with the EFE's and discrete, where discrete means charge "a" is in a different location than "b", and the metric is defined by the relation. See, the continuum died. With Sues ableness to put things behind us, we can proceed to observe the asymmetry of the relative geodesics of charges "a" and "b". I'll stop here, take questions, and if you want, show how nonsymetrical metrics give the EM field. Regards Sue Ken S. Tucker |
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#9
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Ken S. Tucker wrote: Sue... wrote: ... Many thanks for the obeservation about the term 'force'. At some point, a poor choice between force, energy, acceleration or potential can hide the trees in the forest. The correct choice would show the clearest relation between mass, gravity and inertia yet be something a bit more formal than a professor riding in a lift. Sue... Hi Sue, Ken here... Your cuddling to the Electo-vacuum solution to the EFE's (Einstein Field Equations), however in agreement with your inclination, the solution departs from a continuum. That is to say, the EFE's do require relations in the way you are seeking. For example, take a pair of charges "a" and "b" and they have some configurational energy, p = a*b/s, in ergs for example. Slap the behind (dividing by volume) and get the energy density, T00= p/s^3 == a*b/s^4. Now, pause and ponder this, T00= (a/s^2)*(b/s^2) = E(a)*E(b) = a*b/s^4, where E(a) & E(b) are Electric fields of charge "a" and some other charges. Sue, the above departs from the classical solution to EFE's that uses a continum, but who cares, that's pretty junky now. If you like that's Tuckers "noncontinuum solution to the Electrovacuum EFE's", I mean that. Noncontinum solution? Didn't we know that was necessary from Maxwell's scalar and vector components that have to be patched-up with a retarded time before we are even 1/4 wavelength from the structure? http://farside.ph.utexas.edu/teachin...es/node46.html The special theory of relativity assumes the existence of a unique class of global coordinate systems - called inertial coordinates - with respect to which the speed of light in vacuum is everywhere equal to the constant c. It was natural, then, to express physical laws in terms of this preferred class of coordinate systems, characterized by the global invariance of the speed of light. In addition, the special theory also strongly implied the fundamental equivalence of mass and energy, according to which light (and every other form of energy) must be regarded as possessing inertia. However, it soon became clear that the global invariance of light speed together with the idea that energy has inertia (as expressed in the famous relation E2 = m2 + |p|2) were incompatible with one of the most firmly established empirical results of physics, namely, the exact proportionality of inertial and gravitational mass, which Einstein elevated to the status of a Principle. This incompatibility led Einstein, as early as 1907, to the belief that the global invariance of light speed, in the sense of the special theory, could not be maintained. Indeed, he concluded that we cannot assume, as do both Newtonian theory and special relativity, the existence of any global inertial systems of coordinates (although we can carry over the existence of a local system of inertial coordinates in a vanishingly small region of spacetime around any event). http://www.mathpages.com/rr/s6-01/6-01.htm Once T00 is defined that way, we can enjoy G00 by G_uv = T_uv , G00 = T00. OO scary equation, I'm shakin in my boots. Twist & shout, G00 = NABLA^2 g00 = T00. Solve for g00 and find, g00 = 1 + (a/s)(b/s), provided the charges don't masturbate, so terms like self energization "a^2/s" are excluded including a^2/s^4. Sue want's a solution using discrete charges I figure we should give girls what they need. At this point we have a closed logic system consistent with the EFE's and discrete, where discrete means charge "a" is in a different location than "b", and the metric is defined by the relation. See, the continuum died. ....and well it should if it insists that couplings that are not light must propagate like light anyway. With Sues ableness to put things behind us, we can proceed to observe the asymmetry of the relative geodesics of charges "a" and "b". I'll stop here, take questions, and if you want, show how nonsymetrical metrics give the EM field. I am assuming that would be a different way to express the advanced and retarded solutions for expressing the 1/r^3 magnetic and 1/r^2 Coulomb components. The 'obsession' with time and speed of light that is inhereted thru the use of a space-time continum, seems more a help than a hinderace. Contrast with: http://www.earth.ox.ac.uk/~keithr/mo...al/node11.html http://www.fisica.uniud.it/~ercolessi/md/md/node52.html Eleventeen ways from Sunday we can show that constant c electromagnetic field equations are compatable with a relativistic paradigm, but proof or conformance with the coupling modes for light, doesn't necessarly tell us anything about other coupling modes necessary to Coulomb, VDW, London and gravity. The space-time continum paradigm is tripping over its own shoelaces before it even produces a model for the simple 1/r^3 force, magnetism... and that effect is part of its own foundation. :-/ Sue... Regards Sue Ken S. Tucker |
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#10
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Sue... mis-wrote: The 'obsession' with time and speed of light that is inhereted thru the use of a space-time continum, seems more a [hinderace] than a [help]. -- I can mess up like that consistantly by trying to write balanced equations. :-) Sue... |
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