Simultaneity of Relativity
in [Math]
|
Prev: chrouc
Next: Synergetics coordinates and Wikipedia
From: Bruce Richmond on 12 Oct 2009 13:31 On Oct 12, 11:36 am, mpc755 <mpc...(a)gmail.com> wrote: > On Oct 12, 11:31 am, Bruce Richmond <bsr3...(a)my-deja.com> wrote: > > > > > > > On Oct 12, 10:44 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > On Oct 11, 12:04 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > On Oct 10, 7:02 pm, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > On Oct 10, 3:39 pm, Bruce Richmond <bsr3...(a)my-deja.com> wrote: > > > > > > > On Oct 10, 11:58 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > > > On Oct 10, 10:48 am, glird <gl...(a)aol.com> wrote: > > > > > > > > > On Oct 10, 9:52 am, PD wrote: > > > > > > > > > > mpc755 wrote: > > > > > > > > > > I understand exactly what is > > > > > > > > > > occurring in Einstein's Train > > > > > > > > > > Thought experiment. > > > > > > > > > > Not as Einstein explained it, no you > don't. > > > > > > > > > > You understand the MPC Train Thought > > > > > > > > > Experiment, which is something > > > > > > > > > completely different than the > > > > > > > > > Einstein Train Thought Experiment. > > > > > > > > > Yes. > > > > > > > > > > << Lightning strikes at A/A' and B/B' behave exactly like the waves of > > > > > > > > > pebbles dropped into stationary pools of water on the train and > > > > > > > > stationary pools of water on the embankment. > > > > > > > > If there are stationary pools on the train and on the embankment, the > > > > > > > > waves the pebbles create from A and B reaches M and the light from A' > > > > > > > > and B' reaches M' simultaneously. > > > > > > > > If there are stationary pools on the train and on the embankment, the > > > > > > > > light waves from A and B reach M and the light wave from A' and B' > > > > > > > > reach M' simultaneously. >> > > > > > > > > > > See? That's the MPC Train Thought > > > > > > > > > Experiment, not the Einstein one. > > > > > > > > > PD is right. In Einstein's, A and A' coincide when a given ray hits > > > > > > > > point AA', and B and B' coincide when ray 2 hits BB'. In MPC's, A and > > > > > > > > A' are different points than each other in 3-d space and so are b and > > > > > > > > B'. > > > > > > > > In Einstein, the space between AA' and BB' is empty and light moves > > > > > > > > at c wrt to it while the train - thus points A', B' and midpoint M' - > > > > > > > > moves to the right at v. in mpc, a luminiferous aether is trapped > > > > > > > > within the moving train and is therefore moving wrt to the outside > > > > > > > > aether taken as at rest wrt the embankment. > > > > > > > > Therefore, as PD said, mpc's conclusions are unrelated to > > > > > > > > Einstein's. > > > > > > > > > BTW, this gedanken experiment by Einstein is to the layman, and > > > > > > > > doesn't explain why simultaneity is relative to the states of motion > > > > > > > > of different observers' clocks. > > > > > > > > > glird > > > > > > > > > them ir point > > > > > > > > It makes no difference if the points A and A' coincide side-by-side or > > > > > > > not in Einstein's Train Thought Experiment. > > > > > > > > The only thing that matters in Einstein's Train Thought Experiment is > > > > > > > the flash at A/A' occurring in a single instant and the flash of light > > > > > > > at B/B' occurring in a single instant and for A and B to be equi- > > > > > > > distant from M and for A' and B' to be equi-distant from M' and for > > > > > > > the distance from A to M and B to M to be the same as the distance > > > > > > > from A' to M' and B' to M'. > > > > > > > You were ok up to the last part. The flashes met at M'. They can > > > > > > only meet at one point on a line between the two strikes, and that one > > > > > > point is where M is. M' was not with M when the flashes arrived, so > > > > > > he did not see the flashes at the same instant. IOW he saw the > > > > > > flashes at different times. Since the strikes at A' and B' were equal > > > > > > distances from M' the strikes must have happen at different times. > > > > > > > In the frame of M' the strike at the front of the train happen first, > > > > > > M' passed by M, and then the strike at the back of the train happen. > > > > > > By the time the strike at the back of the train happen the front had > > > > > > moved beyond where its strike happen. So the distance between A' and > > > > > > B' is greater than the distance between A and B. You only think they > > > > > > are the same distance because M says the two strikes happen at the > > > > > > same time. > > > > > > My thought experiment: > > > > > > Embankment water stationary relative to the embankment. > > > > > Train water stationary relative to the train. > > > > > Pebbles dropped simultaneously at A on the embankment and A' on the > > > > > train. > > > > > Pebbles dropped simultaneously at B on the embankment and B' on the > > > > > train. > > > > > If the waves created by the pebbles at A and B reach M simultaneously, > > > > > do the waves created by the pebbles at A' and B' reach M' > > > > > simultaneously? > > > > > > Yes. > > > > > > Replace the pebbles with flashes of light. > > > > > > If the light waves created by the flashes at A and B reach M > > > > > simultaneously, do the waves created by the flashes at A' and B' reach > > > > > M' simultaneously? > > > > > > Yes. > > > > > > Replace the water with aether, ice, air, or glass. > > > > > > If the light waves created by the flashes at A and B reach M > > > > > simultaneously, do the waves created by the flashes at A' and B' reach > > > > > M' simultaneously? > > > > > > Yes. > > > > > > If you think no, why is aether different than other mediums light > > > > > travels through? > > > > > If light waves created by the flashes at A and B reach M > > > > simultaneously, the light waves from the flashes at A' and B' reach M' > > > > simultaneously. > > > > > A and B are light years from M. A' and B' are light years from M'. The > > > > membrane between the embankment frame of reference and the train frame > > > > of reference is thin enough to allow light waves to travel through but > > > > not the stationary aether associated with each frame of reference. At > > > > the time of the flashes, A and A' are extremely close together and so > > > > are M and M' and B and B'. > > > > > M and M' are moving away from each other at a high rate of speed. > > > > > The light reaches each observer accordingly: > > > > > The light from B reaches M' and the light from A' reaches M > > > > simultaneously, then > > > > The light from A and B reaches M and the light from A' and B' reaches > > > > M' simultaneously, then > > > > The light from A reaches M' and the light from B' reaches M > > > > simultaneously. > > > > >http://www.youtube.com/watch?v=jyWTaXMElUk > > > > Stationary aether in each frame of reference allows for Simultaneity > > > of Relativity. > > > Which results in multiple wave fronts from the same event, proving it > > wrong. > > There are four wave fronts in my thought experiment.- Hide quoted text - > > - Show quoted text - I know, and that is wrong. Your animation is wrong because A and A' were together when the strike hit. You have them offset from each other.
From: mpc755 on 12 Oct 2009 14:22 On Oct 12, 1:31 pm, Bruce Richmond <bsr3...(a)my-deja.com> wrote: > On Oct 12, 11:36 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > On Oct 12, 11:31 am, Bruce Richmond <bsr3...(a)my-deja.com> wrote: > > > > On Oct 12, 10:44 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > On Oct 11, 12:04 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > On Oct 10, 7:02 pm, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > > On Oct 10, 3:39 pm, Bruce Richmond <bsr3...(a)my-deja.com> wrote: > > > > > > > > On Oct 10, 11:58 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > > > > On Oct 10, 10:48 am, glird <gl...(a)aol.com> wrote: > > > > > > > > > > On Oct 10, 9:52 am, PD wrote: > > > > > > > > > > > mpc755 wrote: > > > > > > > > > > > I understand exactly what is > > > > > > > > > > > occurring in Einstein's Train > > > > > > > > > > > Thought experiment. > > > > > > > > > > > Not as Einstein explained it, no you > don't. > > > > > > > > > > > You understand the MPC Train Thought > > > > > > > > > > Experiment, which is something > > > > > > > > > > completely different than the > > > > > > > > > > Einstein Train Thought Experiment. > > > > > > > > > > Yes. > > > > > > > > > > > << Lightning strikes at A/A' and B/B' behave exactly like the waves of > > > > > > > > > > pebbles dropped into stationary pools of water on the train and > > > > > > > > > stationary pools of water on the embankment. > > > > > > > > > If there are stationary pools on the train and on the embankment, the > > > > > > > > > waves the pebbles create from A and B reaches M and the light from A' > > > > > > > > > and B' reaches M' simultaneously. > > > > > > > > > If there are stationary pools on the train and on the embankment, the > > > > > > > > > light waves from A and B reach M and the light wave from A' and B' > > > > > > > > > reach M' simultaneously. >> > > > > > > > > > > > See? That's the MPC Train Thought > > > > > > > > > > Experiment, not the Einstein one. > > > > > > > > > > PD is right. In Einstein's, A and A' coincide when a given ray hits > > > > > > > > > point AA', and B and B' coincide when ray 2 hits BB'. In MPC's, A and > > > > > > > > > A' are different points than each other in 3-d space and so are b and > > > > > > > > > B'. > > > > > > > > > In Einstein, the space between AA' and BB' is empty and light moves > > > > > > > > > at c wrt to it while the train - thus points A', B' and midpoint M' - > > > > > > > > > moves to the right at v. in mpc, a luminiferous aether is trapped > > > > > > > > > within the moving train and is therefore moving wrt to the outside > > > > > > > > > aether taken as at rest wrt the embankment. > > > > > > > > > Therefore, as PD said, mpc's conclusions are unrelated to > > > > > > > > > Einstein's. > > > > > > > > > > BTW, this gedanken experiment by Einstein is to the layman, and > > > > > > > > > doesn't explain why simultaneity is relative to the states of motion > > > > > > > > > of different observers' clocks. > > > > > > > > > > glird > > > > > > > > > > them ir point > > > > > > > > > It makes no difference if the points A and A' coincide side-by-side or > > > > > > > > not in Einstein's Train Thought Experiment. > > > > > > > > > The only thing that matters in Einstein's Train Thought Experiment is > > > > > > > > the flash at A/A' occurring in a single instant and the flash of light > > > > > > > > at B/B' occurring in a single instant and for A and B to be equi- > > > > > > > > distant from M and for A' and B' to be equi-distant from M' and for > > > > > > > > the distance from A to M and B to M to be the same as the distance > > > > > > > > from A' to M' and B' to M'. > > > > > > > > You were ok up to the last part. The flashes met at M'. They can > > > > > > > only meet at one point on a line between the two strikes, and that one > > > > > > > point is where M is. M' was not with M when the flashes arrived, so > > > > > > > he did not see the flashes at the same instant. IOW he saw the > > > > > > > flashes at different times. Since the strikes at A' and B' were equal > > > > > > > distances from M' the strikes must have happen at different times. > > > > > > > > In the frame of M' the strike at the front of the train happen first, > > > > > > > M' passed by M, and then the strike at the back of the train happen. > > > > > > > By the time the strike at the back of the train happen the front had > > > > > > > moved beyond where its strike happen. So the distance between A' and > > > > > > > B' is greater than the distance between A and B. You only think they > > > > > > > are the same distance because M says the two strikes happen at the > > > > > > > same time. > > > > > > > My thought experiment: > > > > > > > Embankment water stationary relative to the embankment. > > > > > > Train water stationary relative to the train. > > > > > > Pebbles dropped simultaneously at A on the embankment and A' on the > > > > > > train. > > > > > > Pebbles dropped simultaneously at B on the embankment and B' on the > > > > > > train. > > > > > > If the waves created by the pebbles at A and B reach M simultaneously, > > > > > > do the waves created by the pebbles at A' and B' reach M' > > > > > > simultaneously? > > > > > > > Yes. > > > > > > > Replace the pebbles with flashes of light. > > > > > > > If the light waves created by the flashes at A and B reach M > > > > > > simultaneously, do the waves created by the flashes at A' and B' reach > > > > > > M' simultaneously? > > > > > > > Yes. > > > > > > > Replace the water with aether, ice, air, or glass. > > > > > > > If the light waves created by the flashes at A and B reach M > > > > > > simultaneously, do the waves created by the flashes at A' and B' reach > > > > > > M' simultaneously? > > > > > > > Yes. > > > > > > > If you think no, why is aether different than other mediums light > > > > > > travels through? > > > > > > If light waves created by the flashes at A and B reach M > > > > > simultaneously, the light waves from the flashes at A' and B' reach M' > > > > > simultaneously. > > > > > > A and B are light years from M. A' and B' are light years from M'.. The > > > > > membrane between the embankment frame of reference and the train frame > > > > > of reference is thin enough to allow light waves to travel through but > > > > > not the stationary aether associated with each frame of reference.. At > > > > > the time of the flashes, A and A' are extremely close together and so > > > > > are M and M' and B and B'. > > > > > > M and M' are moving away from each other at a high rate of speed. > > > > > > The light reaches each observer accordingly: > > > > > > The light from B reaches M' and the light from A' reaches M > > > > > simultaneously, then > > > > > The light from A and B reaches M and the light from A' and B' reaches > > > > > M' simultaneously, then > > > > > The light from A reaches M' and the light from B' reaches M > > > > > simultaneously. > > > > > >http://www.youtube.com/watch?v=jyWTaXMElUk > > > > > Stationary aether in each frame of reference allows for Simultaneity > > > > of Relativity. > > > > Which results in multiple wave fronts from the same event, proving it > > > wrong. > > > There are four wave fronts in my thought experiment.- Hide quoted text - > > > - Show quoted text - > > I know, and that is wrong. Your animation is wrong because A and A' > were together when the strike hit. You have them offset from each > other. My animation is correct for four wave fronts. If the aether is stationary relative to the train and stationary relative to the embankment and simultaneous lightning strikes occur at A and A' and simultaneous lightning strikes occur at B and B', if the light from A and B reaches M simultaneously, the light from A' and B' reaches M' simultaneously. If the strikes occur such that the light will travel at 'c' relative to the aether in each frame of reference for long enough that it offsets the reduced speed of the light as it travels through the membrane dividing the frames of reference, the lightning strikes will reach M and M' as I have stated: The light from B reaches M' and the light from A' reaches M simultaneously, then the light from A and B reaches M and the light from A' and B' reaches M' simultaneously, then the light from A reaches M' and the light from B' reaches M. Where did the light travel from in order for this sequence of events to occur? If you tie the location of the lightning strikes to points in three dimensional space relative to the frame of reference M and M' exist in, then the light will not always be traveling at 'c' in Relativity of Simultaneity.
From: mpc755 on 12 Oct 2009 15:09 On Oct 12, 2:22 pm, mpc755 <mpc...(a)gmail.com> wrote: > On Oct 12, 1:31 pm, Bruce Richmond <bsr3...(a)my-deja.com> wrote: > > > > > On Oct 12, 11:36 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > On Oct 12, 11:31 am, Bruce Richmond <bsr3...(a)my-deja.com> wrote: > > > > > On Oct 12, 10:44 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > On Oct 11, 12:04 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > > On Oct 10, 7:02 pm, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > > > On Oct 10, 3:39 pm, Bruce Richmond <bsr3...(a)my-deja.com> wrote: > > > > > > > > > On Oct 10, 11:58 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > > > > > On Oct 10, 10:48 am, glird <gl...(a)aol.com> wrote: > > > > > > > > > > > On Oct 10, 9:52 am, PD wrote: > > > > > > > > > > > > mpc755 wrote: > > > > > > > > > > > > I understand exactly what is > > > > > > > > > > > > occurring in Einstein's Train > > > > > > > > > > > > Thought experiment. > > > > > > > > > > > > Not as Einstein explained it, no you > don't. > > > > > > > > > > > > You understand the MPC Train Thought > > > > > > > > > > > Experiment, which is something > > > > > > > > > > > completely different than the > > > > > > > > > > > Einstein Train Thought Experiment. > > > > > > > > > > > Yes. > > > > > > > > > > > > << Lightning strikes at A/A' and B/B' behave exactly like the waves of > > > > > > > > > > > pebbles dropped into stationary pools of water on the train and > > > > > > > > > > stationary pools of water on the embankment. > > > > > > > > > > If there are stationary pools on the train and on the embankment, the > > > > > > > > > > waves the pebbles create from A and B reaches M and the light from A' > > > > > > > > > > and B' reaches M' simultaneously. > > > > > > > > > > If there are stationary pools on the train and on the embankment, the > > > > > > > > > > light waves from A and B reach M and the light wave from A' and B' > > > > > > > > > > reach M' simultaneously. >> > > > > > > > > > > > > See? That's the MPC Train Thought > > > > > > > > > > > Experiment, not the Einstein one. > > > > > > > > > > > PD is right. In Einstein's, A and A' coincide when a given ray hits > > > > > > > > > > point AA', and B and B' coincide when ray 2 hits BB'. In MPC's, A and > > > > > > > > > > A' are different points than each other in 3-d space and so are b and > > > > > > > > > > B'. > > > > > > > > > > In Einstein, the space between AA' and BB' is empty and light moves > > > > > > > > > > at c wrt to it while the train - thus points A', B' and midpoint M' - > > > > > > > > > > moves to the right at v. in mpc, a luminiferous aether is trapped > > > > > > > > > > within the moving train and is therefore moving wrt to the outside > > > > > > > > > > aether taken as at rest wrt the embankment. > > > > > > > > > > Therefore, as PD said, mpc's conclusions are unrelated to > > > > > > > > > > Einstein's. > > > > > > > > > > > BTW, this gedanken experiment by Einstein is to the layman, and > > > > > > > > > > doesn't explain why simultaneity is relative to the states of motion > > > > > > > > > > of different observers' clocks. > > > > > > > > > > > glird > > > > > > > > > > > them ir point > > > > > > > > > > It makes no difference if the points A and A' coincide side-by-side or > > > > > > > > > not in Einstein's Train Thought Experiment. > > > > > > > > > > The only thing that matters in Einstein's Train Thought Experiment is > > > > > > > > > the flash at A/A' occurring in a single instant and the flash of light > > > > > > > > > at B/B' occurring in a single instant and for A and B to be equi- > > > > > > > > > distant from M and for A' and B' to be equi-distant from M' and for > > > > > > > > > the distance from A to M and B to M to be the same as the distance > > > > > > > > > from A' to M' and B' to M'. > > > > > > > > > You were ok up to the last part. The flashes met at M'. They can > > > > > > > > only meet at one point on a line between the two strikes, and that one > > > > > > > > point is where M is. M' was not with M when the flashes arrived, so > > > > > > > > he did not see the flashes at the same instant. IOW he saw the > > > > > > > > flashes at different times. Since the strikes at A' and B' were equal > > > > > > > > distances from M' the strikes must have happen at different times. > > > > > > > > > In the frame of M' the strike at the front of the train happen first, > > > > > > > > M' passed by M, and then the strike at the back of the train happen. > > > > > > > > By the time the strike at the back of the train happen the front had > > > > > > > > moved beyond where its strike happen. So the distance between A' and > > > > > > > > B' is greater than the distance between A and B. You only think they > > > > > > > > are the same distance because M says the two strikes happen at the > > > > > > > > same time. > > > > > > > > My thought experiment: > > > > > > > > Embankment water stationary relative to the embankment. > > > > > > > Train water stationary relative to the train. > > > > > > > Pebbles dropped simultaneously at A on the embankment and A' on the > > > > > > > train. > > > > > > > Pebbles dropped simultaneously at B on the embankment and B' on the > > > > > > > train. > > > > > > > If the waves created by the pebbles at A and B reach M simultaneously, > > > > > > > do the waves created by the pebbles at A' and B' reach M' > > > > > > > simultaneously? > > > > > > > > Yes. > > > > > > > > Replace the pebbles with flashes of light. > > > > > > > > If the light waves created by the flashes at A and B reach M > > > > > > > simultaneously, do the waves created by the flashes at A' and B' reach > > > > > > > M' simultaneously? > > > > > > > > Yes. > > > > > > > > Replace the water with aether, ice, air, or glass. > > > > > > > > If the light waves created by the flashes at A and B reach M > > > > > > > simultaneously, do the waves created by the flashes at A' and B' reach > > > > > > > M' simultaneously? > > > > > > > > Yes. > > > > > > > > If you think no, why is aether different than other mediums light > > > > > > > travels through? > > > > > > > If light waves created by the flashes at A and B reach M > > > > > > simultaneously, the light waves from the flashes at A' and B' reach M' > > > > > > simultaneously. > > > > > > > A and B are light years from M. A' and B' are light years from M'. The > > > > > > membrane between the embankment frame of reference and the train frame > > > > > > of reference is thin enough to allow light waves to travel through but > > > > > > not the stationary aether associated with each frame of reference. At > > > > > > the time of the flashes, A and A' are extremely close together and so > > > > > > are M and M' and B and B'. > > > > > > > M and M' are moving away from each other at a high rate of speed. > > > > > > > The light reaches each observer accordingly: > > > > > > > The light from B reaches M' and the light from A' reaches M > > > > > > simultaneously, then > > > > > > The light from A and B reaches M and the light from A' and B' reaches > > > > > > M' simultaneously, then > > > > > > The light from A reaches M' and the light from B' reaches M > > > > > > simultaneously. > > > > > > >http://www.youtube.com/watch?v=jyWTaXMElUk > > > > > > Stationary aether in each frame of reference allows for Simultaneity > > > > > of Relativity. > > > > > Which results in multiple wave fronts from the same event, proving it > > > > wrong. > > > > There are four wave fronts in my thought experiment.- Hide quoted text - > > > > - Show quoted text - > > > I know, and that is wrong. Your animation is wrong because A and A' > > were together when the strike hit. You have them offset from each > > other. > > My animation is correct for four wave fronts. > > If the aether is stationary relative to the train and stationary > relative to the embankment and simultaneous lightning strikes occur at > A and A' and simultaneous lightning strikes occur at B and B', if the > light from A and B reaches M simultaneously, the light from A' and B' > reaches M' simultaneously. > > If the strikes occur such that the light will travel at 'c' relative > to the aether in each frame of reference for long enough that it > offsets the reduced speed of the light as it travels through the > membrane dividing the frames of reference, the lightning strikes will > reach M and M' as I have stated: > > The light from B reaches M' and the light from A' reaches M > simultaneously, then the light from A and B reaches M and the light > from A' and B' reaches M' simultaneously, then the light from A > reaches M' and the light from B' reaches M. > > Where did the light travel from in order for this sequence of events > to occur? If you tie the location of the lightning strikes to points > in three dimensional space relative to the frame of reference M and M' > exist in, then the light will not always be traveling at 'c' in > Relativity of Simultaneity. There is an Observer on the membrane who remains equi-distant between A and A' at all times, likewise an Observer on the membrane who remains equi-distant between B and B' at all times. Each observer strikes a button so that the flashes of light occur when a line perpendicular to the membrane can be drawn through A and A' and the Observer between A and A', likewise a line perpendicular to the membrane can be drawn through B and B' and the Observer between B and B' at the time of the flashes, and the light from A and A' reaches the Observer between A and A' simultaneously and the light from B and B' reaches the Observer between B and B' simultaneously.
From: mpc755 on 12 Oct 2009 15:13 On Oct 12, 3:09 pm, mpc755 <mpc...(a)gmail.com> wrote: > On Oct 12, 2:22 pm, mpc755 <mpc...(a)gmail.com> wrote: > > > > > On Oct 12, 1:31 pm, Bruce Richmond <bsr3...(a)my-deja.com> wrote: > > > > On Oct 12, 11:36 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > On Oct 12, 11:31 am, Bruce Richmond <bsr3...(a)my-deja.com> wrote: > > > > > > On Oct 12, 10:44 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > > On Oct 11, 12:04 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > > > On Oct 10, 7:02 pm, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > > > > On Oct 10, 3:39 pm, Bruce Richmond <bsr3...(a)my-deja.com> wrote: > > > > > > > > > > On Oct 10, 11:58 am, mpc755 <mpc...(a)gmail.com> wrote: > > > > > > > > > > > On Oct 10, 10:48 am, glird <gl...(a)aol.com> wrote: > > > > > > > > > > > > On Oct 10, 9:52 am, PD wrote: > > > > > > > > > > > > > mpc755 wrote: > > > > > > > > > > > > > I understand exactly what is > > > > > > > > > > > > > occurring in Einstein's Train > > > > > > > > > > > > > Thought experiment. > > > > > > > > > > > > > Not as Einstein explained it, no you > don't. > > > > > > > > > > > > > You understand the MPC Train Thought > > > > > > > > > > > > Experiment, which is something > > > > > > > > > > > > completely different than the > > > > > > > > > > > > Einstein Train Thought Experiment. > > > > > > > > > > > > Yes. > > > > > > > > > > > > > << Lightning strikes at A/A' and B/B' behave exactly like the waves of > > > > > > > > > > > > pebbles dropped into stationary pools of water on the train and > > > > > > > > > > > stationary pools of water on the embankment. > > > > > > > > > > > If there are stationary pools on the train and on the embankment, the > > > > > > > > > > > waves the pebbles create from A and B reaches M and the light from A' > > > > > > > > > > > and B' reaches M' simultaneously. > > > > > > > > > > > If there are stationary pools on the train and on the embankment, the > > > > > > > > > > > light waves from A and B reach M and the light wave from A' and B' > > > > > > > > > > > reach M' simultaneously. >> > > > > > > > > > > > > > See? That's the MPC Train Thought > > > > > > > > > > > > Experiment, not the Einstein one. > > > > > > > > > > > > PD is right. In Einstein's, A and A' coincide when a given ray hits > > > > > > > > > > > point AA', and B and B' coincide when ray 2 hits BB'. In MPC's, A and > > > > > > > > > > > A' are different points than each other in 3-d space and so are b and > > > > > > > > > > > B'. > > > > > > > > > > > In Einstein, the space between AA' and BB' is empty and light moves > > > > > > > > > > > at c wrt to it while the train - thus points A', B' and midpoint M' - > > > > > > > > > > > moves to the right at v. in mpc, a luminiferous aether is trapped > > > > > > > > > > > within the moving train and is therefore moving wrt to the outside > > > > > > > > > > > aether taken as at rest wrt the embankment. > > > > > > > > > > > Therefore, as PD said, mpc's conclusions are unrelated to > > > > > > > > > > > Einstein's. > > > > > > > > > > > > BTW, this gedanken experiment by Einstein is to the layman, and > > > > > > > > > > > doesn't explain why simultaneity is relative to the states of motion > > > > > > > > > > > of different observers' clocks. > > > > > > > > > > > > glird > > > > > > > > > > > > them ir point > > > > > > > > > > > It makes no difference if the points A and A' coincide side-by-side or > > > > > > > > > > not in Einstein's Train Thought Experiment. > > > > > > > > > > > The only thing that matters in Einstein's Train Thought Experiment is > > > > > > > > > > the flash at A/A' occurring in a single instant and the flash of light > > > > > > > > > > at B/B' occurring in a single instant and for A and B to be equi- > > > > > > > > > > distant from M and for A' and B' to be equi-distant from M' and for > > > > > > > > > > the distance from A to M and B to M to be the same as the distance > > > > > > > > > > from A' to M' and B' to M'. > > > > > > > > > > You were ok up to the last part. The flashes met at M'.. They can > > > > > > > > > only meet at one point on a line between the two strikes, and that one > > > > > > > > > point is where M is. M' was not with M when the flashes arrived, so > > > > > > > > > he did not see the flashes at the same instant. IOW he saw the > > > > > > > > > flashes at different times. Since the strikes at A' and B' were equal > > > > > > > > > distances from M' the strikes must have happen at different times. > > > > > > > > > > In the frame of M' the strike at the front of the train happen first, > > > > > > > > > M' passed by M, and then the strike at the back of the train happen. > > > > > > > > > By the time the strike at the back of the train happen the front had > > > > > > > > > moved beyond where its strike happen. So the distance between A' and > > > > > > > > > B' is greater than the distance between A and B. You only think they > > > > > > > > > are the same distance because M says the two strikes happen at the > > > > > > > > > same time. > > > > > > > > > My thought experiment: > > > > > > > > > Embankment water stationary relative to the embankment. > > > > > > > > Train water stationary relative to the train. > > > > > > > > Pebbles dropped simultaneously at A on the embankment and A' on the > > > > > > > > train. > > > > > > > > Pebbles dropped simultaneously at B on the embankment and B' on the > > > > > > > > train. > > > > > > > > If the waves created by the pebbles at A and B reach M simultaneously, > > > > > > > > do the waves created by the pebbles at A' and B' reach M' > > > > > > > > simultaneously? > > > > > > > > > Yes. > > > > > > > > > Replace the pebbles with flashes of light. > > > > > > > > > If the light waves created by the flashes at A and B reach M > > > > > > > > simultaneously, do the waves created by the flashes at A' and B' reach > > > > > > > > M' simultaneously? > > > > > > > > > Yes. > > > > > > > > > Replace the water with aether, ice, air, or glass. > > > > > > > > > If the light waves created by the flashes at A and B reach M > > > > > > > > simultaneously, do the waves created by the flashes at A' and B' reach > > > > > > > > M' simultaneously? > > > > > > > > > Yes. > > > > > > > > > If you think no, why is aether different than other mediums light > > > > > > > > travels through? > > > > > > > > If light waves created by the flashes at A and B reach M > > > > > > > simultaneously, the light waves from the flashes at A' and B' reach M' > > > > > > > simultaneously. > > > > > > > > A and B are light years from M. A' and B' are light years from M'. The > > > > > > > membrane between the embankment frame of reference and the train frame > > > > > > > of reference is thin enough to allow light waves to travel through but > > > > > > > not the stationary aether associated with each frame of reference. At > > > > > > > the time of the flashes, A and A' are extremely close together and so > > > > > > > are M and M' and B and B'. > > > > > > > > M and M' are moving away from each other at a high rate of speed. > > > > > > > > The light reaches each observer accordingly: > > > > > > > > The light from B reaches M' and the light from A' reaches M > > > > > > > simultaneously, then > > > > > > > The light from A and B reaches M and the light from A' and B' reaches > > > > > > > M' simultaneously, then > > > > > > > The light from A reaches M' and the light from B' reaches M > > > > > > > simultaneously. > > > > > > > >http://www.youtube.com/watch?v=jyWTaXMElUk > > > > > > > Stationary aether in each frame of reference allows for Simultaneity > > > > > > of Relativity. > > > > > > Which results in multiple wave fronts from the same event, proving it > > > > > wrong. > > > > > There are four wave fronts in my thought experiment.- Hide quoted text - > > > > > - Show quoted text - > > > > I know, and that is wrong. Your animation is wrong because A and A' > > > were together when the strike hit. You have them offset from each > > > other. > > > My animation is correct for four wave fronts. > > > If the aether is stationary relative to the train and stationary > > relative to the embankment and simultaneous lightning strikes occur at > > A and A' and simultaneous lightning strikes occur at B and B', if the > > light from A and B reaches M simultaneously, the light from A' and B' > > reaches M' simultaneously. > > > If the strikes occur such that the light will travel at 'c' relative > > to the aether in each frame of reference for long enough that it > > offsets the reduced speed of the light as it travels through the > > membrane dividing the frames of reference, the lightning strikes will > > reach M and M' as I have stated: > > > The light from B reaches M' and the light from A' reaches M > > simultaneously, then the light from A and B reaches M and the light > > from A' and B' reaches M' simultaneously, then the light from A > > reaches M' and the light from B' reaches M. > > > Where did the light travel from in order for this sequence of events > > to occur? If you tie the location of the lightning strikes to points > > in three dimensional space relative to the frame of reference M and M' > > exist in, then the light will not always be traveling at 'c' in > > Relativity of Simultaneity. > > There is an Observer on the membrane who remains equi-distant between > A and A' at all times, likewise an Observer on the membrane who > remains equi-distant between B and B' at all times. Each observer > strikes a button so that the flashes of light occur when a line > perpendicular to the membrane can be drawn through A and A' and the > Observer between A and A', likewise a line perpendicular to the > membrane can be drawn through B and B' and the Observer between B and > B' at the time of the flashes, and the light from A and A' reaches the > Observer between A and A' simultaneously and the light from B and B' > reaches the Observer between B and B' simultaneously. How far does the light travel to reach each Observer at M and M'? It travels from where the source *is* to where the Observer *is* when the Observer sees the flash.
From: mpc755 on 12 Oct 2009 15:15
On Oct 12, 3:09 pm, mpc755 <mpc...(a)gmail.com> wrote: > On Oct 12, 2:22 pm, mpc755 <mpc...(a)gmail.com> wrote: > > > > My animation is correct for four wave fronts. > > > If the aether is stationary relative to the train and stationary > > relative to the embankment and simultaneous lightning strikes occur at > > A and A' and simultaneous lightning strikes occur at B and B', if the > > light from A and B reaches M simultaneously, the light from A' and B' > > reaches M' simultaneously. > > > If the strikes occur such that the light will travel at 'c' relative > > to the aether in each frame of reference for long enough that it > > offsets the reduced speed of the light as it travels through the > > membrane dividing the frames of reference, the lightning strikes will > > reach M and M' as I have stated: > > > The light from B reaches M' and the light from A' reaches M > > simultaneously, then the light from A and B reaches M and the light > > from A' and B' reaches M' simultaneously, then the light from A > > reaches M' and the light from B' reaches M. > > > Where did the light travel from in order for this sequence of events > > to occur? If you tie the location of the lightning strikes to points > > in three dimensional space relative to the frame of reference M and M' > > exist in, then the light will not always be traveling at 'c' in > > Relativity of Simultaneity. > > There is an Observer on the membrane who remains equi-distant between > A and A' at all times, likewise an Observer on the membrane who > remains equi-distant between B and B' at all times. Each observer > strikes a button so that the flashes of light occur when a line > perpendicular to the membrane can be drawn through A and A' and the > Observer between A and A', likewise a line perpendicular to the > membrane can be drawn through B and B' and the Observer between B and > B' at the time of the flashes, and the light from A and A' reaches the > Observer between A and A' simultaneously and the light from B and B' > reaches the Observer between B and B' simultaneously. How far does the light travel to reach each Observer at M and M'? It travels from where the source *is* to where the Observer *is* when the Observer sees the flash. |