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#1281 |
Muse
Join Date: Jul 2018
Posts: 959
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#1282 |
Penultimate Amazing
Join Date: Apr 2004
Posts: 12,881
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Not sure what you are getting at. Are you saying that 1/3.606 Hz falls outside that range?
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The train observer as in your scenario turns on the beam at 0 seconds train and platform time He switches it off at 1 second train time. The platform observer first sees the reflected beam at 4 seconds platform time The platform observer last sees the reflected beam at 7.606 seconds platform time. That makes a 3.606 duration that the platform observer sees the reflected beam. The train observer has emitted 1 full wavelength in 1 second The platform observer has received 1 full wavelength in 3.606 seconds. This equates to the average frequency observed on the platform over that 1 second as being 1/3.606 Hz which is consistent with the frequency for that one second period arrived at using the Relativistic Doppler Effect equation. |
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The non-theoretical character of metaphysics would not be in itself a defect; all arts have this non-theoretical character without thereby losing their high value for personal as well as for social life. The danger lies in the deceptive character of metaphysics; it gives the illusion of knowledge without actually giving any knowledge. This is the reason why we reject it. - Rudolf Carnap "Philosophy and Logical Syntax" |
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#1283 |
Muse
Join Date: Jul 2018
Posts: 959
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Yes, OK for the post above.
I have no issue with the relativistic Doppler effect. I am talking about the invariance of the space time interval. So I will try to ask differently. The train observer releases one photon per one second of the train time. When the grid of the platform observers sees the first photon to come back in 4s of the platform time. How many photons are in 'flight'? How big space gap there would be between two photons, release with 1s' train time interval? How many photons were released by the front train observer in the meantime and not yet absorbed by the back platform observer? Is the number of released photons supposed to be agreed upon between the train and the platform observers? ![]() |
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#1284 |
Penultimate Amazing
Join Date: Apr 2004
Posts: 12,881
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The non-theoretical character of metaphysics would not be in itself a defect; all arts have this non-theoretical character without thereby losing their high value for personal as well as for social life. The danger lies in the deceptive character of metaphysics; it gives the illusion of knowledge without actually giving any knowledge. This is the reason why we reject it. - Rudolf Carnap "Philosophy and Logical Syntax" |
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#1285 |
Penultimate Amazing
Join Date: Apr 2004
Posts: 12,881
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It depends upon which frame you are talking about
Quote:
Let us suppose the train observer releases 8 photons at 1 second intervals. The first photon reaches the platform observer at 8 seconds, by which time he has release 7 more. But from the platform observer's frame he has only released one more by the time the first photon is absorbed. To see this I graph the intersection of the mirror light cone for each time it reflects a photon with the x/t plane for both frames. The intersection of the light cone with the x/t plane forms a hyperbola and the intersection of the hyperbola with the time axis for the platform observer is the time the platform observer absorbs the photon. Time on the vertical axis, x on the horizontal: ![]() The first two photons in three dimensions: ![]() |
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The non-theoretical character of metaphysics would not be in itself a defect; all arts have this non-theoretical character without thereby losing their high value for personal as well as for social life. The danger lies in the deceptive character of metaphysics; it gives the illusion of knowledge without actually giving any knowledge. This is the reason why we reject it. - Rudolf Carnap "Philosophy and Logical Syntax" |
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#1286 |
Penultimate Amazing
Join Date: Apr 2004
Posts: 12,881
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So how far away is the next photon from the platform observer in the platform frame when the first photon is absorbed?
Well it is just being reflected from the mirror which is 3.465 light seconds away in the x direction and 1 light second away in the y direction, so the second photon is 3.606 light seconds away from the platform observer at 4 seconds when the first photon is absorbed. |
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The non-theoretical character of metaphysics would not be in itself a defect; all arts have this non-theoretical character without thereby losing their high value for personal as well as for social life. The danger lies in the deceptive character of metaphysics; it gives the illusion of knowledge without actually giving any knowledge. This is the reason why we reject it. - Rudolf Carnap "Philosophy and Logical Syntax" |
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#1287 |
Muse
Join Date: Jul 2018
Posts: 959
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Robin,
very good posts. Here is what is happening along your space time diagrams. ![]() ![]() ![]() ![]() P1 is photon one and P2 is photon two. Two photons emitted by the train observer. The problem is with y axis. How many photons are in flight when photon P1 is at y=y'=0? ![]() P1 is at 1-1/7cs=1-1/7cs' on the y=y' axis after t'=2s' based on the train observer. P1 is supposed to be at 0cs=0cs' on y=y' axis after t'=2s' observed by the platform grid of observers looking at/observing x'=0cs' origin. Only 2 photons were released at 0s' and 1s' as observed by the platform grid. Two inertial observers do not agree on simultaneity. This is not all. Two inertial observers do not agree on many more things. They do not agree on angles, they do not agree on y, y' position, they do not agree on energy delta. The disagreement on energy delta is essentially disagreement on physics. Edit: Energy delta being each individual photon released. |
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#1288 |
Muse
Join Date: Jul 2018
Posts: 959
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The fourth image in the post above should have P1 label as this one.
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#1289 |
Penultimate Amazing
Join Date: Jun 2003
Posts: 48,011
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You seem to be confused about how light propagates. The way you're drawing it might make some sense if the wave front of light oscillated as it propagated. But that's not how it works. The oscillation is only visible if the light is passing by you. That means the oscillation of light depends on both the position AND the time of the observer, and as any student of relativity should know, BOTH those quantities can change as you change reference frames, not just one or the other.
If you just follow the wave front as it travels at c, that front doesn't change. So if we follow the wave front, there's no oscillation in it from one event to another. In order to see a wavelength or a frequency, you've got to emit and detect over time, which means even looking at this from one frame, you will need four events (start and stop of emission, start and stop of detection), not two. And because you need four events and not two, changing reference frames becomes even more complicated. In other words, your drawing is fundamentally wrong. It doesn't actually make sense. |
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"As long as it is admitted that the law may be diverted from its true purpose -- that it may violate property instead of protecting it -- then everyone will want to participate in making the law, either to protect himself against plunder or to use it for plunder. Political questions will always be prejudicial, dominant, and all-absorbing. There will be fighting at the door of the Legislative Palace, and the struggle within will be no less furious." - Bastiat, The Law |
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#1290 |
Muse
Join Date: Jul 2018
Posts: 959
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I know, it is better to show a wave packet:
![]() Having said that, there are many drawings like this as well. ![]() So my dot is an end of a polarized E field arrow of the second diagram. Both observers agree on this position in the first leg of the light roundtrip. ... but the second leg is the problem. How many photons/wave packets were emitted by the train observer in 2s'? In order for the photon to get to y=y'=0 on the second leg there are supposed to be 7 photons/wave packets emitted to fill up the invariant space time interval of the train frame. |
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#1291 |
Penultimate Amazing
Join Date: Jun 2003
Posts: 48,011
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The problem is not the distinction between wave packets and standing waves. The problem is that you're mixing up the difference between space and time.
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Photons are not the peaks in a wave. That isn't how they work. Nothing about your diagram gives any indication of how many photons are involved. That simply isn't relevant to the problem. Changing the number of photons involved can simply change the strength of the field because photons can sit on top of each other, but since there's no scale on any of the diagrams, the number of photons is simply irrelevant to the problem. |
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"As long as it is admitted that the law may be diverted from its true purpose -- that it may violate property instead of protecting it -- then everyone will want to participate in making the law, either to protect himself against plunder or to use it for plunder. Political questions will always be prejudicial, dominant, and all-absorbing. There will be fighting at the door of the Legislative Palace, and the struggle within will be no less furious." - Bastiat, The Law |
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#1293 |
Penultimate Amazing
Join Date: Mar 2008
Location: New Zealand
Posts: 27,668
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Usual abysmal ignorance or lies from SDG about textbook physics.
If there is 1 photon in the scenario then there is supposed to be 1 photon always in the scenario. There will be perfect mirrors reflecting it. There is nothing magically creating photons as SDG imagines. This is a photon. A photon has a frequency. It is that which changes. This is a wave packet. The wave packet has a width related to frequency. Photons do not expand to fill up an "invariant space time interval". The 1 photon in the scenario SDG is spamming the thread with, is measured to change frequency. The photon as a wave packet will change its width correspondingly. |
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NASA Finds Direct Proof of Dark Matter (another observation) (and Abell 520) Electric comets still do not exist! |
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#1294 |
Muse
Join Date: Jul 2018
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#1295 |
Penultimate Amazing
Join Date: Mar 2008
Location: New Zealand
Posts: 27,668
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My post was about his "7 photons/wave packets emitted to fill up the invariant space time interval of the train frame" photon fantasy as based on his stupid cartoons (my mistake!).
It should be SDG wrote idiocy about Robin's post where it is stated that the train observer emits 8 photons a second. So in the train frame we have
SDG idiotically amended his scenario from a beam of light to "one photon per one second" from the train observer. One photon a second being emitted is a very weak beam of light ![]() Robin answered with textbook physics: SDG replied with nonsensical cartoons, lies and more questions that it is up to SDG to answer because SDG is the one trying to debunk special relativity.
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NASA Finds Direct Proof of Dark Matter (another observation) (and Abell 520) Electric comets still do not exist! |
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