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| Tags: dependent, light, trajectories, velocity |
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#1
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Given a X,Y,Z cordinate system with "earth in origo" a spaceship "A"
travels along X axis in a velocity close to c. Assuming the side of spaceship is along the Y axis and a pulsecanon is aligned along Y(side of ship) it fire a pulse of one Plank length in a straight line along Y. 1. What will the actual trajectory of the pulse be? (will it not at all be affected by the ships trajectory and travel in a straight line along Y, i have a hard time to imagine it travelling in a straight line parallell with ship c along the X axis but maybe it will?) or maybe it will take have a trajectory like a ball thrown from a car left side but that would be a velocity dependent trajectory dependent on ~c and c? 2. Maybe a very stupid question, is it possible for the pulse(given a light pulse) to expand not only in a positive direction from the pulse canon? Maybe it is not quite clear what i mean, must the pulse always travel positive from the emitter given a light or radio pulse, even if the emitter is an object moving at ~c. Could anyone be so kind make plot the trajectorie for me assuming planet earth at rest in origo and ship travel positive along x-axis. The ship passing origo "earth frame t0 sec" firing pulse postive in y- axis could anyone plot out for me "ship" and "pulse front" respective origo "earth frame t1 sec". Where is lightpulse with respect to origo "earth" anyone? The ship travels very close to ~c let us say indistinguasable. I would also like to know how the trajectory would look in 0.9 0.8 0.7 0.6 c ...... and so on if someone got the time. Best regards JT |
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#2
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On 22 Feb, 12:33, wrote:
Given a X,Y,Z cordinate system with "earth in origo" a spaceship "A" travels along X axis in a velocity close to c. Assuming the side of spaceship is along the Y axis and a pulsecanon is aligned along Y(side of ship) it fire a pulse of one Plank length in a straight line along Y. 1. What will the actual trajectory of the pulse be? (will it not at all be affected by the ships trajectory and travel in a straight line along Y, i have a hard time to imagine it travelling in a straight line parallell with ship c along the X axis but maybe it will?) or maybe it will take have a trajectory like a ball thrown from a car left side but that would be a velocity dependent trajectory dependent on ~c and c? 2. Maybe a very stupid question, is it possible for the pulse(given a light pulse) to expand not only in a positive direction from the pulse canon? Maybe it is not quite clear what i mean, must the pulse always travel positive from the emitter given a light or radio pulse, even if the emitter is an object moving at ~c. Could anyone be so kind make plot the trajectorie for me assuming planet earth at rest in origo and ship travel positive along x-axis. The ship passing origo "earth frame t0 sec" firing pulse postive in y- axis could anyone plot out for me "ship" and "pulse front" respective origo "earth frame t1 sec". Where is lightpulse with respect to origo "earth" anyone? The ship travels very close to ~c let us say indistinguasable. I would also like to know how the trajectory would look in 0.9 0.8 0.7 0.6 c ...... and so on if someone got the time. Best regards JT Aetherians, SRians or anyone? Maybe it is just a dumb question but i really do now know the answer, is it clear that it only will travel positive along the y-axis, no deformation of the trajectory due to velocity in positive x-axis direction? JT |
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#3
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On Feb 22, 6:33 am, wrote:
Given a X,Y,Z cordinate system with "earth in origo" a spaceship "A" travels along X axis in a velocity close to c. Assuming the side of spaceship is along the Y axis and a pulsecanon is aligned along Y(side of ship) it fire a pulse of one Plank length in a straight line along Y. 1. What will the actual trajectory of the pulse be? (will it not at all be affected by the ships trajectory and travel in a straight line along Y, i have a hard time to imagine it travelling in a straight line parallell with ship c along the X axis but maybe it will?) or maybe it will take have a trajectory like a ball thrown from a car left side but that would be a velocity dependent trajectory dependent on ~c and c? 2. Maybe a very stupid question, is it possible for the pulse(given a light pulse) to expand not only in a positive direction from the pulse canon? Maybe it is not quite clear what i mean, must the pulse always travel positive from the emitter given a light or radio pulse, even if the emitter is an object moving at ~c. Could anyone be so kind make plot the trajectorie for me assuming planet earth at rest in origo and ship travel positive along x-axis. The ship passing origo "earth frame t0 sec" firing pulse postive in y- axis could anyone plot out for me "ship" and "pulse front" respective origo "earth frame t1 sec". Where is lightpulse with respect to origo "earth" anyone? The ship travels very close to ~c let us say indistinguasable. I would also like to know how the trajectory would look in 0.9 0.8 0.7 0.6 c ...... and so on if someone got the time. Best regards JT A light path is determined by the matter in the region. Usually classified as a conductor or a dielectric. Propagation in a dielectric medium http://farside.ph.utexas.edu/teachin...es/node98.html http://en.wikipedia.org/wiki/Wave_impedance http://en.wikipedia.org/wiki/Free_space http://www-ssg.sr.unh.edu/ism/what.html Now, does not the prize to Einstein imply that the Academy recognised the particle nature of light? The Nobel Committee says that Einstein had found that the energy exchange between matter and ether occurs by atoms emitting or absorbing a quantum of energy,hv . As a consequence of the new concept of light quanta (in modern terminology photons) Einstein proposed the law that an electron emitted from a substance by monochromatic light with the frequency has to have a maximum energy of E=hv-p, where p is the energy needed to remove the electron from the substance. Robert Andrews Millikan carried out a series of measurements over a period of 10 years, finally confirming the validity of this law in 1916 with great accuracy. Millikan had, however, found the idea of light quanta to be unfamiliar and strange. The Nobel Committee avoids committing itself to the particle concept. Light-quanta or with modern terminology, photons, were explicitly mentioned in the reports on which the prize decision rested only in connection with emission and absorption processes. The Committee says that the most important application of Einstein's photoelectric law and also its most convincing confirmation has come from the use Bohr made of it in his theory of atoms, which explains a vast amount of spectroscopic data. http://nobelprize.org/physics/articl...ong/index.html Sue... |
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On 22 Feb, 13:02, "Sue..." wrote:
On Feb 22, 6:33 am, wrote: Given a X,Y,Z cordinate system with "earth in origo" a spaceship "A" travels along X axis in a velocity close to c. Assuming the side of spaceship is along the Y axis and a pulsecanon is aligned along Y(side of ship) it fire a pulse of one Plank length in a straight line along Y. 1. What will the actual trajectory of the pulse be? (will it not at all be affected by the ships trajectory and travel in a straight line along Y, i have a hard time to imagine it travelling in a straight line parallell with ship c along the X axis but maybe it will?) or maybe it will take have a trajectory like a ball thrown from a car left side but that would be a velocity dependent trajectory dependent on ~c and c? 2. Maybe a very stupid question, is it possible for the pulse(given a light pulse) to expand not only in a positive direction from the pulse canon? Maybe it is not quite clear what i mean, must the pulse always travel positive from the emitter given a light or radio pulse, even if the emitter is an object moving at ~c. Could anyone be so kind make plot the trajectorie for me assuming planet earth at rest in origo and ship travel positive along x-axis. The ship passing origo "earth frame t0 sec" firing pulse postive in y- axis could anyone plot out for me "ship" and "pulse front" respective origo "earth frame t1 sec". Where is lightpulse with respect to origo "earth" anyone? The ship travels very close to ~c let us say indistinguasable. I would also like to know how the trajectory would look in 0.9 0.8 0.7 0.6 c ...... and so on if someone got the time. Best regards JT A light path is determined by the matter in the region. Usually classified as a conductor or a dielectric. There is no matter in the region it is empty except for the planet in origo. Propagation in a dielectric mediumhttp://farside.ph.utexas.edu/teaching/em/lectures/node98.htmlhttp://en.wikipedia.org/wiki/Wave_impedancehttp://en.wikipedia.org/wiki/Free_spacehttp://www-ssg.sr.unh.edu/ism/what.html No i am not to take a major in physic i just want to know if it is possible to plot the trajectories within the defined cordinate system. But i understand maybe there is no way to plot the trajectories if you say so i take your word for it. Now, does not the prize to Einstein imply that the Academy recognised the particle nature of light? The Nobel Committee says that Einstein had found that the energy exchange between matter and ether occurs by atoms emitting or absorbing a quantum of energy,hv . I do not see the relevance. As a consequence of the new concept of light quanta (in modern terminology photons) Einstein proposed the law that an electron emitted from a substance by monochromatic light with the frequency has to have a maximum energy of E=hv-p, where p is the energy needed to remove the electron from the substance. Robert Andrews Millikan carried out a series of measurements over a period of 10 years, finally confirming the validity of this law in 1916 with great accuracy. Millikan had, however, found the idea of light quanta to be unfamiliar and strange. Maybe i am just stupid i do not see the relevance to my question. The Nobel Committee avoids committing itself to the particle concept. Light-quanta or with modern terminology, photons, were explicitly mentioned in the reports on which the prize decision rested only in connection with emission and absorption processes. The Committee says that the most important application of Einstein's photoelectric law and also its most convincing confirmation has come from the use Bohr made of it in his theory of atoms, which explains a vast amount of spectroscopic data. http://nobelprize.org/physics/articl...ong/index.html Ok i determine that you either not got time to plot it out, are unable, can but refuse or think i should do it myself but since i am not psycic i do not really now. If you try to say that there is no easy answer say so. If you try to say that answer the question put you in trouble say so. If you just like me do not know the answer to the question, it is just ok probably someone else got the answer. Suppose an empty space without matter or magnetic fields surrounding origo. Just the ship A origo planet B (very small just a pebble) to define rest space. Is this really such a tricky question? I just want to see if light have velocity dependent trajectory? Best regards Jonas T Sue...- Dölj citerad text - - Visa citerad text - |
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#5
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On 22 Feb, 13:51, "Dirk Van de moortel" dirkvandemoor...@ThankS-NO-
SperM.hotmail.com wrote: wrote in ooglegroups.com... Given a X,Y,Z cordinate system with "earth in origo" a spaceship "A" travels along X axis in a velocity close to c. Assuming the side of spaceship is along the Y axis and a pulsecanon is aligned along Y(side of ship) it fire a pulse of one Plank length in a straight line along Y. 1. What will the actual trajectory of the pulse be? In the ship's frame the pulse has trajectory x' = 0 y' = c t' so in the earth's frame it has trajectory g ( x - v t ) = 0 y = c g ( t - v/c^2 x ) giving x = v t y = c/g t = sqrt(c^2-v^2) t or, eliminating t: y = sqrt( c^2/v^2 - 1 ) x which is a straight line in the Earth's frame. (will it not at all be affected by the ships trajectory and travel in a straight line along Y, i have a hard time to imagine it travelling in a straight line parallell with ship c along the X axis but maybe it will?) or maybe it will take have a trajectory like a ball thrown from a car left side but that would be a velocity dependent trajectory dependent on ~c and c? It has a straigth line with equation y = sqrt( c^2/v^2 - 1 ) x 2. Maybe a very stupid question, is it possible for the pulse(given a light pulse) to expand not only in a positive direction from the pulse canon? Maybe it is not quite clear what i mean, must the pulse always travel positive from the emitter given a light or radio pulse, even if the emitter is an object moving at ~c. Since it has a straigth line with equation y = sqrt( c^2/v^2 - 1 ) x , the slope of which is always positive. Could anyone be so kind make plot the trajectorie for me assuming planet earth at rest in origo and ship travel positive along x-axis. The ship passing origo "earth frame t0 sec" firing pulse postive in y- axis could anyone plot out for me "ship" and "pulse front" respective origo "earth frame t1 sec". Take a piece of paper and use the equations x = v t y = c/g t = sqrt(c^2-v^2) t At time t the ship is a point (x,y) = ( v t , 0 ) and the pulse front is at point (x,y) = ( v t , sqrt(c^2-v^2) t ) Where is lightpulse with respect to origo "earth" anyone? The ship travels very close to ~c let us say indistinguasable. I would also like to know how the trajectory would look in 0.9 0.8 0.7 0.6 c ...... and so on if someone got the time. Just take a piece of paper and draw some lines with equations y = sqrt( c^2/v^2 - 1 ) x for various values of v Dirk Vdm Ok i am lazy is there a simple freeware graph program someware. Thank you JT |
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#6
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On Feb 22, 7:24 am, wrote:
On 22 Feb, 13:02, "Sue..." wrote: On Feb 22, 6:33 am, wrote: Given a X,Y,Z cordinate system with "earth in origo" a spaceship "A" travels along X axis in a velocity close to c. Assuming the side of spaceship is along the Y axis and a pulsecanon is aligned along Y(side of ship) it fire a pulse of one Plank length in a straight line along Y. 1. What will the actual trajectory of the pulse be? (will it not at all be affected by the ships trajectory and travel in a straight line along Y, i have a hard time to imagine it travelling in a straight line parallell with ship c along the X axis but maybe it will?) or maybe it will take have a trajectory like a ball thrown from a car left side but that would be a velocity dependent trajectory dependent on ~c and c? 2. Maybe a very stupid question, is it possible for the pulse(given a light pulse) to expand not only in a positive direction from the pulse canon? Maybe it is not quite clear what i mean, must the pulse always travel positive from the emitter given a light or radio pulse, even if the emitter is an object moving at ~c. Could anyone be so kind make plot the trajectorie for me assuming planet earth at rest in origo and ship travel positive along x-axis. The ship passing origo "earth frame t0 sec" firing pulse postive in y- axis could anyone plot out for me "ship" and "pulse front" respective origo "earth frame t1 sec". Where is lightpulse with respect to origo "earth" anyone? The ship travels very close to ~c let us say indistinguasable. I would also like to know how the trajectory would look in 0.9 0.8 0.7 0.6 c ...... and so on if someone got the time. Best regards JT A light path is determined by the matter in the region. Usually classified as a conductor or a dielectric. There is no matter in the region it is empty except for the planet in origo. There is no no such space in this universe. Propagation in a dielectric mediumhttp://farside.ph.utexas.edu/teaching/em/lectures/node98.htmlhttp://e... No i am not to take a major in physic i just want to know if it is possible to plot the trajectories within the defined cordinate system. But i understand maybe there is no way to plot the trajectories if you say so i take your word for it. The term *trajectory* is normally reserved for a particle with mass. Light, (wiggling electrons and protons) propagtes over a path and it may do so bidirectionally. In optics, there are special cases where a ray or particle model is used for simplicity. But that doesn't alter the electromagnetic models that provide more complete description. Now, does not the prize to Einstein imply that the Academy recognised the particle nature of light? The Nobel Committee says that Einstein had found that the energy exchange between matter and ether occurs by atoms emitting or absorbing a quantum of energy,hv . I do not see the relevance. As a consequence of the new concept of light quanta (in modern terminology photons) Einstein proposed the law that an electron emitted from a substance by monochromatic light with the frequency has to have a maximum energy of E=hv-p, where p is the energy needed to remove the electron from the substance. Robert Andrews Millikan carried out a series of measurements over a period of 10 years, finally confirming the validity of this law in 1916 with great accuracy. Millikan had, however, found the idea of light quanta to be unfamiliar and strange. Maybe i am just stupid i do not see the relevance to my question. The Nobel Committee avoids committing itself to the particle concept. Light-quanta or with modern terminology, photons, were explicitly mentioned in the reports on which the prize decision rested only in connection with emission and absorption processes. The Committee says that the most important application of Einstein's photoelectric law and also its most convincing confirmation has come from the use Bohr made of it in his theory of atoms, which explains a vast amount of spectroscopic data. http://nobelprize.org/physics/articl...ong/index.html Ok i determine that you either not got time to plot it out, are unable, can but refuse or think i should do it myself but since i am not psycic i do not really now. If you try to say that there is no easy answer say so. If you try to say that answer the question put you in trouble say so. If you just like me do not know the answer to the question, it is just ok probably someone else got the answer. Suppose an empty space without matter or magnetic fields surrounding origo. Just the ship A origo planet B (very small just a pebble) to define rest space. Again... there is no such place. You need to ask Alice or the Red Queen. Is this really such a tricky question? I just want to see if light have velocity dependent trajectory? The velocity depends on the eps and mu of the dielectric. The light in your Television cable is moving at about 0.9 percent the speed of light in the air. http://farside.ph.utexas.edu/teachin...es/node99.html Sue... Best regards Jonas T Sue...- Dölj citerad text - - Visa citerad text -- Hide quoted text - - Show quoted text -- Hide quoted text - - Show quoted text - |
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#7
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wrote in message oups.com... Given a X,Y,Z cordinate system with "earth in origo" a spaceship "A" travels along X axis in a velocity close to c. Assuming the side of spaceship is along the Y axis and a pulsecanon is aligned along Y(side of ship) it fire a pulse of one Plank length in a straight line along Y. 1. What will the actual trajectory of the pulse be? In the ship's frame the pulse has trajectory x' = 0 y' = c t' so in the earth's frame it has trajectory g ( x - v t ) = 0 y = c g ( t - v/c^2 x ) giving x = v t y = c/g t = sqrt(c^2-v^2) t or, eliminating t: y = sqrt( c^2/v^2 - 1 ) x which is a straight line in the Earth's frame. (will it not at all be affected by the ships trajectory and travel in a straight line along Y, i have a hard time to imagine it travelling in a straight line parallell with ship c along the X axis but maybe it will?) or maybe it will take have a trajectory like a ball thrown from a car left side but that would be a velocity dependent trajectory dependent on ~c and c? It has a straigth line with equation y = sqrt( c^2/v^2 - 1 ) x 2. Maybe a very stupid question, is it possible for the pulse(given a light pulse) to expand not only in a positive direction from the pulse canon? Maybe it is not quite clear what i mean, must the pulse always travel positive from the emitter given a light or radio pulse, even if the emitter is an object moving at ~c. Since it has a straigth line with equation y = sqrt( c^2/v^2 - 1 ) x , the slope of which is always positive. Could anyone be so kind make plot the trajectorie for me assuming planet earth at rest in origo and ship travel positive along x-axis. The ship passing origo "earth frame t0 sec" firing pulse postive in y- axis could anyone plot out for me "ship" and "pulse front" respective origo "earth frame t1 sec". Take a piece of paper and use the equations x = v t y = c/g t = sqrt(c^2-v^2) t At time t the ship is a point (x,y) = ( v t , 0 ) and the pulse front is at point (x,y) = ( v t , sqrt(c^2-v^2) t ) Where is lightpulse with respect to origo "earth" anyone? The ship travels very close to ~c let us say indistinguasable. I would also like to know how the trajectory would look in 0.9 0.8 0.7 0.6 c ...... and so on if someone got the time. Just take a piece of paper and draw some lines with equations y = sqrt( c^2/v^2 - 1 ) x for various values of v Dirk Vdm |
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#8
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On Feb 22, 7:45 am, "Sue..." miswrote:
Correction The velocity depends on the eps and mu of the dielectric. The light in your Television cable is moving at about 90 percent the speed of light in the air. http://www.picwire.com/technical/paper2.html http://farside.ph.utexas.edu/teachin...es/node99.html Sue... |
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#9
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wrote in message oups.com... [snip] Ok i am lazy is there a simple freeware graph program someware. Su http://www.google.com/search?q=free+...tware+download Dirk Vdm |
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#10
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On 22 Feb, 14:25, "Dirk Van de moortel" dirkvandemoor...@ThankS-NO-
SperM.hotmail.com wrote: wrote in messagenews:1172147538.176219.170440@s48g2000cws.. googlegroups.com... [snip] Ok i am lazy is there a simple freeware graph program someware. Su http://www.google.com/search?q=free+...tware+download Dirk Vdm Hello Dirk if i understand correct (plotted correct) the ligh pulse will travel straight along the y-axis without deformation, regardless of speed. That makes me wonder a little, because after t1(earth/planet time 1 sec) the light beam have travelled 300 000 km relative earth. But for the ship *distance* to pulsefront we would have to use pythagoras theorem correct? 424 264 km That would be the distance as measured from earth frame between ship and pulsefront correct? Assume velocity ship 0.9999 c we have a dilation factor of 1/70.7 sec for inertial frame A ship. 1 sec earth frame =0.014144 ship frame Should i conclude that the distance to pulsefront from within the shipframe is 0.01414*424 264 ? And that the distance to earth is 0,01414*300 000? Is there other distances from within the ship frame to the pulsefront and planet? "At moment t1"=clock 1 sec passed earth frame. I know that length contraction occur in the ship frame does this apply for space and things outside the ship? Is there such a thing as distance contraction in SR or does it only refer to the actual things belonging to the moving frame? In my mind it would be natural to have the distance as a constant between the frames 300 000/0,01414 and 424 264/0,01414 but that is of course wrong according to SR. Is distance really variant between frames in SR? And what about the hypotenusa argument is that really invoked in SR? Best regards Jonas Thörnvall |
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