![]() |
| If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above to proceed. To start viewing messages, select the forum that you want to visit from the selection below. |
|
|||||||
| Tags: confused, general, help, needed, relativity |
|
|
Thread Tools | Display Modes |
|
#1
|
|||
|
|||
|
I posted this earlier under a different subject heading, please don't
ignore me this time! Hi, I have a question about general relativity. It is based off of the Feynman Lectures. Suppose you have a tower on a planet. And at the top of the planet you drop a photon to the Earth. As it leaves, the photon kicks the tower in one direction and then speeds to the surface. At the surface, the photon strikes with an increse in energy, a higher frequency, and thus a higher momentum. It kicks the tower/Earth in the opposite direction than before. But this kick is stronger than the one at the tower when it left. So there is a net momentum transfer in the opposite direction. But this doesn't make sense. you could make the Earth more compact, so that the difference in kick gets more and more. Until finally you could build a space ship where all you do is shine a bit of light in one direction, and go careening off into space somewhere. But this net "motion exnihilo" is weird. Clearly I'm missing something. But what? You have the same thing in Newtonian mechanics. Where on the tower you drop a ball and it falls to the earth, striking with greater momentum than when it left. But when you look at this from a non-inertial reference frame, you see what's happening. The momentum picked up by the ball is exactly counterballanced by the momentum picked up by the Earth/tower. This is because the force acting on the ball is exactly equal in magnitude to the force of the ball on the Earth, but opposite in direction, and the impulse of force over time is the same, and they both cancel out. But with a photon, you don't have that luxury. For a photon to "accelerate" the Earth upwards, there would have to be some "advanced warning" that the photon was coming, travelling faster than light. And this apparently, is excluded. How do you resolve this [apparent] paradox? One thing is by the equivalence principle, this should be the same as a rocket accelerating upwards in outerspace, and firing a photon from the top to the bottom. I haven't thought enough about this case though. Am I looking at the Earth/tower system from the wrong frame? Am I misunderstanding the conservation of three momentum with four momentum? What's going on here? Thanks... |
| Ads |
|
#2
|
|||
|
|||
|
|
|
#3
|
|||
|
|||
|
Dear Joe:
"Joe" wrote in message om... I posted this earlier under a different subject heading, please don't ignore me this time! Hi, I have a question about general relativity. It is based off of the Feynman Lectures. Suppose you have a tower on a planet. And at the top of the planet you drop a photon to the Earth. As it leaves, the photon kicks the tower in one direction and then speeds to the surface. At the surface, the photon strikes with an increse in energy, a higher frequency, and thus a higher momentum. It kicks the tower/Earth in the opposite direction than before. But this kick is stronger than the one at the tower when it left. So there is a net momentum transfer in the opposite direction. But this doesn't make sense. Sure it does. you could make the Earth more compact, so that the difference in kick gets more and more. Until finally you could build a space ship where all you do is shine a bit of light in one direction, and go careening off into space somewhere. But this net "motion exnihilo" is weird. Clearly I'm missing something. But what? You have the same thing in Newtonian mechanics. Where on the tower you drop a ball and it falls to the earth, striking with greater momentum than when it left. But when you look at this from a non-inertial reference frame, you see what's happening. The momentum picked up by the ball is exactly counterballanced by the momentum picked up by the Earth/tower. This is because the force acting on the ball is exactly equal in magnitude to the force of the ball on the Earth, but opposite in direction, and the impulse of force over time is the same, and they both cancel out. But with a photon, you don't have that luxury. For a photon to "accelerate" the Earth upwards, there would have to be some "advanced warning" that the photon was coming, travelling faster than light. And this apparently, is excluded. How do you resolve this [apparent] paradox? The net energy of the system is conserved. No paradox. The energy of the light is unaffected by the light's position in the gravity well, from the POV of the release point (or any other single point observing multiple positions of light and resulting energy states). One thing is by the equivalence principle, this should be the same as a rocket accelerating upwards in outerspace, and firing a photon from the top to the bottom. I haven't thought enough about this case though. Am I looking at the Earth/tower system from the wrong frame? Am I misunderstanding the conservation of three momentum with four momentum? What's going on here? Thanks... David A. Smith |
|
#4
|
|||
|
|||
|
This light box may explain something. If I put a light box on the
planet, it is obviously apparent that it can't acclerate the Earth. This is because the force on one side of the box is direclty counterbalanced by the force of the ground on that side of the box. However, if there is more light in the box, increasing that force, to the point where it causes structural failure of the ground, then it will accelerate to the center of the Earth. And yet, in my naivitee, I think of light bouncing back and forth between the top and bottom. As it bounces off the top, it imparts less momentum than when it bouncess off the bottom! Shouldn't this cause a net force in the one direction, accelerating the planet? What counterbllances it? (You can tell my intelligence drops the more I keep my mouth open.) I tell you the truth, I've fled to the internet to escape grades. I appreciate the comment, but it makes me afraid of asking even stupider questions. [I think I know where it comes from, it must be the light box acting on the planet. But this appears to be wiggling out of my question.] Another question that I have is about the parallel between a rocket ship and a uniform gravitational field. Let's assume the rocket ship is thrusting in outer space, at uniform acceleration. This corresponds to uniform thrust. Now, I take a mass up to the top of the space sip, and "drop" it. Suddenly, the "mass" of the space ship is less, because it is not accelerating what you "dropped". But this means there is a sudden lurch of the craft, because it is moving at constant thrust. This is different with gravity (isn't it?), if the space ship is on the ground, and I drop something from the top, there is no sudden lurch! Notice depending on the size of this object, and the ratio that it takes up with to the rest of the craft, this lurch could be enormous! But there is no accompanying lurch on ground. This means that for the equivalence principle to be true, the space ship must adjust its thrust to compensate for the dropped object. Now I can be a devil! Suppose I'm in a space ship, and for some reason I suspect I am. I can do real hell to the pilots in the conspiracy to keep me believing this by tossing things around, which way and that, and seeing if they can compensate their thrust to match! If I do real hell out of this, can I ask if there really are pilots that smart to keep up with this charade? Can they really adjust thrusters in strength, omnidirectional, etc. to do this? In fact, what would be interesting, is too see if it is even CONCIEVABLY POSSIBLE for a space ship and pilot to do this. In otherwords, if the information that I had dropped something from the top had to travel FASTER THAN LIGHT to get to the controllers who then send a signal from their computer to the thrusters, etc. I don't know. (I wich I was a GOD.) |
|
#5
|
|||
|
|||
|
"jahn" wrote in message ...
"Ken S. Tucker" wrote in message om... "jahn" wrote in message ... [...] Einstein's description of the gravitational redshift because his description predicts gravity affecting light during emission, in contrast to causing in-flight wavelength change, as required by the expansion hypothesis. In what appears to be one of the most significant lapses in the history of science, there appears to be no record where cosmologists ever sought to determine for a certainty whether photons actually do experience an in-flight change in wavelength while passing through a gravitational potential gradient. } http://orionfdn.org/papers/arxiv-5.htm {On the interpretation of the redshift in a static gravitational field L. B. Okun and K. G. Selivanov ITEP, Moscow, 117218, Russia V. L. Telegdi EP Division, CERN, CH-1211 Geneva 23, Switzerland } http://dx.doi.org/10.1119/1.19382 -------------- Kind regards, Sue... Thanks for the refs. very interesting. IMHO the "red shift" is a field effect, to conserve momentum. That is not an easy *opinion* to defend in GR. I'm basing it on the momentum transfer from light to a mass when the light is deflected by the mass, and the mass receives momentum from the photon. A lossy interation between light and matter "seems" to be limited to subatomic wavelengths where material entities are comparable in size....Compton scattering and radiation recoil/reaction. The way I see it is each subatomic particle within the sun for example contributes to the deflection of light by virtue of gravitating mass. If an atom or lepton is displaced then the wave should indeed loose energy. In a homonogenoous dielectric, for every entity that is being accelerated, charged or aligned another entitiy is being decelerated discharged or mal-aligned. So... the wavelength is reduced but no energy is lost. We have seen refraction in the gasses held by massive objects. It isn't surprising at all that Einstein's field equations can predict the density gradient of a gas as well as the density gradient of "space-time". The problem is: If you say it is space-time being "squeezed" by gravity, then you have a causality violation. If you say an atmosphere slows the speed of light, then it matches our experience nicely. Ok, but that may be a simplisitic analogy. This should be a continuous transfer. But the question is how does the photon deflect the mass prior to it's arrival in the very near proximity of the mass? After all it can't send a message ahead of itself. It does indeed send a message before and after itself. See Maxwell's advanced and retarded potential. No one has ever measured the "speed of charge" or the "speed of gravity". There are no shock waves propagating back and forth on the spokes of a rolling bicycle wheel as each spoke is stretched then compressed, yet a bar of steel has velocity factors for both transverse and longitudinal modes. So far I'm satisfied the speed of gravity is "c", but the dynamical problem of matter moving at or near light speed is one I haven't had a lot of experience with. Others have analysed it see no problem. A good physicist needs to spend at least as much time on a beach as in a billard parlor. ;-) Where should a bad physicist go? ...and will I be arrested again? Kind regards, Sue... I'm guessing it's the g-field itself that is deflected. Regards Ken S. Tucker |
|
#6
|
|||
|
|||
|
"Joe" wrote in message om... I posted this earlier under a different subject heading, please don't ignore me this time! Hi, I have a question about general relativity. It is based off of the Feynman Lectures. Suppose you have a tower on a planet. And at the top of the planet you drop a photon to the Earth. A photon can't be "dropped". Maybe a little nit-picking, but often wrong concepts lead to wrong reasoning. As it leaves, the photon kicks the tower in one direction and then speeds to the surface. At the surface, the photon strikes with an increse in energy, a higher frequency, and thus a higher momentum. Not really: only apparently, in the local frame. There is a lot confusion propagated by textbooks, as many teachers (even Feynman?) didn't fully understand it. See the AJP of a few years back where it is quite well explained: http://scitation.aip.org/getabs/serv... 093837402530 It kicks the tower/Earth in the opposite direction than before. But this kick is stronger than the one at the tower when it left. So there is a net momentum transfer in the opposite direction. But this doesn't make sense. Indeed it doesn't. And it isn't really so. Result of using local differently calibrated units. Harald you could make the Earth more compact, so that the difference in kick gets more and more. Until finally you could build a space ship where all you do is shine a bit of light in one direction, and go careening off into space somewhere. But this net "motion exnihilo" is weird. Clearly I'm missing something. But what? You have the same thing in Newtonian mechanics. Where on the tower you drop a ball and it falls to the earth, striking with greater momentum than when it left. But when you look at this from a non-inertial reference frame, you see what's happening. The momentum picked up by the ball is exactly counterballanced by the momentum picked up by the Earth/tower. This is because the force acting on the ball is exactly equal in magnitude to the force of the ball on the Earth, but opposite in direction, and the impulse of force over time is the same, and they both cancel out. But with a photon, you don't have that luxury. For a photon to "accelerate" the Earth upwards, there would have to be some "advanced warning" that the photon was coming, travelling faster than light. And this apparently, is excluded. How do you resolve this [apparent] paradox? One thing is by the equivalence principle, this should be the same as a rocket accelerating upwards in outerspace, and firing a photon from the top to the bottom. I haven't thought enough about this case though. Am I looking at the Earth/tower system from the wrong frame? Am I misunderstanding the conservation of three momentum with four momentum? What's going on here? Thanks... |
|
#7
|
|||
|
|||
|
"Ken S. Tucker" wrote in message om... "jahn" wrote in message ... "Ken S. Tucker" wrote in message om... "jahn" wrote in message ... [...] Einstein's description of the gravitational redshift because his description predicts gravity affecting light during emission, in contrast to causing in-flight wavelength change, as required by the expansion hypothesis. In what appears to be one of the most significant lapses in the history of science, there appears to be no record where cosmologists ever sought to determine for a certainty whether photons actually do experience an in-flight change in wavelength while passing through a gravitational potential gradient. } http://orionfdn.org/papers/arxiv-5.htm {On the interpretation of the redshift in a static gravitational field L. B. Okun and K. G. Selivanov ITEP, Moscow, 117218, Russia V. L. Telegdi EP Division, CERN, CH-1211 Geneva 23, Switzerland } http://dx.doi.org/10.1119/1.19382 -------------- Kind regards, Sue... Thanks for the refs. very interesting. IMHO the "red shift" is a field effect, to conserve momentum. That is not an easy *opinion* to defend in GR. I'm basing it on the momentum transfer from light to a mass when the light is deflected by the mass, and the mass receives momentum from the photon. A lossy interation between light and matter "seems" to be limited to subatomic wavelengths where material entities are comparable in size....Compton scattering and radiation recoil/reaction. The way I see it is each subatomic particle within the sun for example contributes to the deflection of light by virtue of gravitating mass. Yes... It creates a density gradient in the plamsa which extends quite effectively to the earth. (aurora borealis). No such effect is recorded for the moon with no atmosphere... ahhh AFAIK. If an atom or lepton is displaced then the wave should indeed loose energy. In a homonogenoous dielectric, for every entity that is being accelerated, charged or aligned another entitiy is being decelerated discharged or mal-aligned. So... the wavelength is reduced but no energy is lost. We have seen refraction in the gasses held by massive objects. It isn't surprising at all that Einstein's field equations can predict the density gradient of a gas as well as the density gradient of "space-time". The problem is: If you say it is space-time being "squeezed" by gravity, then you have a causality violation. If you say an atmosphere slows the speed of light, then it matches our experience nicely. Ok, but that may be a simplisitic analogy. It is not an analogy: 'The Sun and the solar corona' http://www.sp.ph.ic.ac.uk/~mkd/AndreHandout.pdf This should be a continuous transfer. But the question is how does the photon deflect the mass prior to it's arrival in the very near proximity of the mass? After all it can't send a message ahead of itself. It does indeed send a message before and after itself. See Maxwell's advanced and retarded potential. No one has ever measured the "speed of charge" or the "speed of gravity". There are no shock waves propagating back and forth on the spokes of a rolling bicycle wheel as each spoke is stretched then compressed, yet a bar of steel has velocity factors for both transverse and longitudinal modes. So far I'm satisfied the speed of gravity is "c", but the dynamical problem of matter moving at or near light speed is one I haven't had a lot of experience with. Others have analysed it see no problem. The spatial displacement of a a barycenter sufficient to observe is itself a considerable problem. http://www.ligo.caltech.edu/ A good physicist needs to spend at least as much time on a beach as in a billard parlor. ;-) Where should a bad physicist go? ...and will I be arrested again? 1. Girlie bars. 2. I don't think Feynman ever was. http://www.wordiq.com/definition/Richard_Feynman http://www.uky.edu/~holler/msc/roles/cargcult.html ;-) Sue... Kind regards, Sue... I'm guessing it's the g-field itself that is deflected. Regards Ken S. Tucker |
| Thread Tools | |
| Display Modes | |
|
|
Similar Threads
|
||||
| Thread | Thread Starter | Forum | Replies | Last Post |
| Why are Referees for Professional Physics Journals so Hopelessly Confused about Special Relativity in 1+1 Dimensions? | Eugene Shubert | Physics - General Discussion | 12 | July 17th 05 06:49 PM |
| Why are Referees for Professional Physics Journals so Hopelessly Confused about Special Relativity in 1+1 Dimensions? | Eugene Shubert | Physics - General Discussion | 4 | July 17th 05 05:48 PM |
| Posting #33 - Is General Relativity Compatible With Special Relativity? | Ypoc | Physics - General Discussion | 1 | May 4th 05 04:09 PM |
| Posting #33 - Is General Relativity Compatible With Special Relativity? | Einsteinhoax | Physics - General Discussion | 2 | March 29th 05 06:24 PM |
| ALICE LAW (Learn Special Relativity and General Relativity) | Dr. Jai Maharaj | Physics - General Discussion | 1 | August 13th 04 07:20 AM |