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Warning [2] Undefined array key "lockoutexpiry" - Line: 550 - File: global.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key "avatartype" - Line: 811 - File: global.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key "avatartype" - Line: 811 - File: global.php PHP 8.0.23 (Linux)
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Warning [2] Undefined variable $awaitingusers - Line: 39 - File: global.php(872) : eval()'d code PHP 8.0.23 (Linux)
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Warning [2] Undefined array key "style" - Line: 937 - File: global.php PHP 8.0.23 (Linux)
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Warning [2] Undefined property: MyLanguage::$lang_select_default - Line: 5196 - File: inc/functions.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key "additionalgroups" - Line: 7360 - File: inc/functions.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key "additionalgroups" - Line: 7360 - File: inc/functions.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key "additionalgroups" - Line: 7360 - File: inc/functions.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key "mybb" - Line: 1997 - File: inc/functions.php PHP 8.0.23 (Linux)
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Warning [2] Undefined property: MyLanguage::$ratings_update_error - Line: 5 - File: showthread.php(768) : eval()'d code PHP 8.0.23 (Linux)
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Warning [2] Undefined variable $postsdone - Line: 901 - File: showthread.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key 71 - Line: 907 - File: showthread.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key 133 - Line: 907 - File: showthread.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key 136 - Line: 907 - File: showthread.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key 137 - Line: 907 - File: showthread.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key 146 - Line: 907 - File: showthread.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key 147 - Line: 907 - File: showthread.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key 148 - Line: 907 - File: showthread.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key 164 - Line: 907 - File: showthread.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key 190 - Line: 907 - File: showthread.php PHP 8.0.23 (Linux)
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Warning [2] Undefined array key 192 - Line: 907 - File: showthread.php PHP 8.0.23 (Linux)
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Photon path ..
#78
I've studied some documents and realized that back in early 1900's these physics papers did not use the word "speed" at all. They used "velocity" to mean both velocity and speed.

Remember that back then German was more-or-less the "official language" of science, and German has only the one word "Geschwindigkeit". So English followed suit and always translated that to "velocity". The papers always make it clear when they meant velocity as a vector. So if nothing is said about it, it always means "speed" - I believe.

I don't know when English speaking physicists began to use the word "speed". I've only been looking at papers translated from German; for all I know, original English papers back then did make the distinction that we use today.

Here are some relevant facts from "The Principle of Relativity", A collection of original memoirs on the Special and General Theory of Relativity by H.A. Lorentz, A. Einstein, H. Minkowski, and H. Weyl. Notes by A. Sommerfeld. Translated by W. Perrett and G.B. Jeffery. First published by Methuen and Company, Ltd, 1923. Translated from Des Relativitatsprinzip (Teubner, 4th ed, 1922); except for Lorentz's paper.

"Electromagnetic phenomena in a system moving with any velocity less than that of light", H.A. Lorentz. English version in Proceedings of the Academy of Sciences of Amsterdam, 6, 1904.

As you see in the title he uses "velocity" to mean "speed". Later he says "... the angle between the velocity and the normal to the plates ..." using it in our modern sense.

"On The Electrodynamics of Moving Bodies" A. Einstein, Original paper "Zur Elektrodynamik bewegter Korper", Annalen der Physik, 17, 1905.

The second postulate: "... light is always propagated in empty space with a definite velocity c which is independent of the state of motion of the emitting body." My conclusion is that "velocity" means speed here. Later he uses "velocity-vector" to make it clear he's not talking about speed. Later, "... a universal constant - the velocity of light in empty space." This is obviously a scalar. Later, "... makes the angle theta with the velocity of the observer ...". Here it's a vector.

I hope that settles that issue!

Regarding another issue, on the first page, Einstein gives his "famous example" of a conductor and a magnet in relative motion to each other. He describes how it doesn't matter which is moving; Maxwell's equations give the same effective results, but in one case it's due to an electric field, in the other to an electromotive force. Then he says, "Examples of this sort ... suggest that the phenomena of electrodynamics as well as of mechanics possess no properties corresponding to the idea of absolute rest. They suggest ... the same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good." This is the Principle of Relativity for which the great genius Einstein is so famous today.

But it's interesting to note: in this publication, Einstein's paper is preceded by Lorentz's. And if you just read Lorentz, and now see this - published a year later - you're wondering why Einstein demonstrated this Principle of Relativity, implying that it's his original discovery. Because a year earlier Lorentz proved it! Not only that, but you've just read Lorentz mentioning that it's been well known for more than a decade! Therefore Arnold Sommerfeld feels compelled to add the following note: "The preceding memoir by Lorentz was not at this time known to the author."

Historical research has demonstrated to the satisfaction of most physicists and historians of science that this note is incorrect; the author had seen Lorentz's paper.
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Messages In This Thread
Photon path .. - by ALT - 05-10-2016, 12:30 PM
RE: Photon path .. - by Schmelzer - 05-10-2016, 03:11 PM
RE: Photon path .. - by ALT - 05-11-2016, 01:59 AM
RE: Photon path .. - by Schmelzer - 05-11-2016, 06:46 AM
RE: Photon path .. - by ALT - 05-11-2016, 01:13 PM
RE: Photon path .. - by Schmelzer - 05-11-2016, 02:05 PM
RE: Photon path .. - by rjbeery - 05-10-2016, 10:37 PM
RE: Photon path .. - by secur - 05-10-2016, 11:33 PM
RE: Photon path .. - by secur - 05-11-2016, 01:27 AM
RE: Photon path .. - by secur - 05-11-2016, 04:32 AM
RE: Photon path .. - by ALT - 05-11-2016, 12:24 PM
RE: Photon path .. - by secur - 05-11-2016, 03:17 PM
RE: Photon path .. - by Schmelzer - 05-11-2016, 04:20 PM
RE: Photon path .. - by ALT - 05-12-2016, 04:24 AM
RE: Photon path .. - by Schmelzer - 05-12-2016, 05:48 AM
RE: Photon path .. - by ALT - 05-12-2016, 02:11 PM
RE: Photon path .. - by Schmelzer - 05-12-2016, 05:11 PM
RE: Photon path .. - by secur - 05-12-2016, 08:54 PM
RE: Photon path .. - by ALT - 05-13-2016, 02:17 PM
RE: Photon path .. - by ALT - 05-14-2016, 05:22 AM
RE: Photon path .. - by Schmelzer - 05-14-2016, 06:48 AM
RE: Photon path .. - by ALT - 05-14-2016, 01:28 PM
RE: Photon path .. - by Schmelzer - 05-14-2016, 08:37 PM
RE: Photon path .. - by ALT - 05-15-2016, 01:46 AM
RE: Photon path .. - by secur - 05-14-2016, 07:12 AM
RE: Photon path .. - by Schmelzer - 05-14-2016, 09:37 AM
RE: Photon path .. - by ALT - 05-14-2016, 12:50 PM
RE: Photon path .. - by Schmelzer - 05-15-2016, 04:31 AM
RE: Photon path .. - by ALT - 05-17-2016, 06:58 AM
RE: Photon path .. - by ALT - 05-17-2016, 12:06 PM
RE: Photon path .. - by Schmelzer - 05-17-2016, 03:04 PM
RE: Photon path .. - by secur - 05-17-2016, 07:03 PM
RE: Photon path .. - by Schmelzer - 05-17-2016, 10:32 PM
RE: Photon path .. - by secur - 05-18-2016, 02:27 AM
RE: Photon path .. - by Schmelzer - 05-18-2016, 07:26 AM
RE: Photon path .. - by secur - 05-18-2016, 11:23 PM
RE: Photon path .. - by ALT - 05-19-2016, 03:29 AM
RE: Photon path .. - by secur - 05-19-2016, 04:51 AM
RE: Photon path .. - by ALT - 05-20-2016, 01:23 AM
RE: Photon path .. - by secur - 05-20-2016, 01:52 AM
RE: Photon path .. - by ALT - 05-20-2016, 02:49 AM
RE: Photon path .. - by secur - 05-20-2016, 03:48 AM
RE: Photon path .. - by ALT - 05-20-2016, 06:22 AM
RE: Photon path .. - by ALT - 05-21-2016, 02:13 AM
RE: Photon path .. - by John Duffield - 05-21-2016, 03:02 PM
RE: Photon path .. - by ALT - 05-22-2016, 02:10 AM
RE: Photon path .. - by secur - 05-21-2016, 10:09 PM
RE: Photon path .. - by ALT - 05-22-2016, 02:41 AM
RE: Photon path .. - by ALT - 05-25-2016, 02:01 AM
RE: Photon path .. - by Schmelzer - 05-25-2016, 11:00 AM
RE: Photon path .. - by ALT - 05-25-2016, 12:27 PM
RE: Photon path .. - by secur - 05-26-2016, 02:48 AM
RE: Photon path .. - by ALT - 05-28-2016, 06:45 AM
RE: Photon path .. - by Schmelzer - 05-28-2016, 05:06 PM
RE: Photon path .. - by ALT - 05-29-2016, 04:25 AM
RE: Photon path .. - by John Duffield - 05-22-2016, 08:51 PM
RE: Photon path .. - by ALT - 05-23-2016, 02:01 AM
RE: Photon path .. - by Schmelzer - 05-23-2016, 11:32 AM
RE: Photon path .. - by secur - 05-29-2016, 03:23 AM
RE: Photon path .. - by ALT - 05-29-2016, 04:59 AM
RE: Photon path .. - by secur - 05-29-2016, 06:38 PM
RE: Photon path .. - by ALT - 05-30-2016, 02:10 AM
RE: Photon path .. - by Schmelzer - 05-30-2016, 06:36 AM
RE: Photon path .. - by ALT - 06-01-2016, 02:49 AM
RE: Photon path .. - by Schmelzer - 06-01-2016, 02:23 PM
RE: Photon path .. - by ALT - 06-02-2016, 06:58 AM
RE: Photon path .. - by secur - 06-02-2016, 09:11 AM
RE: Photon path .. - by ALT - 06-02-2016, 12:12 PM
RE: Photon path .. - by secur - 06-03-2016, 07:01 AM
RE: Photon path .. - by Schmelzer - 06-03-2016, 11:52 AM
RE: Photon path .. - by secur - 06-03-2016, 02:56 PM
RE: Photon path .. - by Schmelzer - 06-04-2016, 09:18 AM
RE: Photon path .. - by secur - 06-04-2016, 02:59 PM
RE: Photon path .. - by ALT - 06-04-2016, 01:42 AM
RE: Photon path .. - by secur - 06-04-2016, 04:49 AM
RE: Photon path .. - by Schmelzer - 06-04-2016, 09:53 AM
RE: Photon path .. - by ALT - 06-05-2016, 02:56 AM
RE: Photon path .. - by Schmelzer - 06-04-2016, 04:54 PM
RE: Photon path .. - by secur - 06-05-2016, 02:40 AM
RE: Photon path .. - by secur - 06-05-2016, 04:28 AM
RE: Photon path .. - by ALT - 06-05-2016, 05:19 AM
RE: Photon path .. - by secur - 06-05-2016, 05:56 AM
RE: Photon path .. - by ALT - 06-05-2016, 01:06 PM
RE: Photon path .. - by Schmelzer - 06-05-2016, 01:40 PM
RE: Photon path .. - by ALT - 06-06-2016, 12:01 PM
RE: Photon path .. - by secur - 06-06-2016, 01:11 AM
RE: Photon path .. - by Schmelzer - 06-06-2016, 02:53 PM
RE: Photon path .. - by ALT - 06-07-2016, 06:30 AM
RE: Photon path .. - by Schmelzer - 06-07-2016, 07:00 AM
RE: Photon path .. - by ALT - 06-07-2016, 11:22 AM
RE: Photon path .. - by Schmelzer - 06-07-2016, 12:17 PM
RE: Photon path .. - by ALT - 06-14-2016, 06:21 AM
RE: Photon path .. - by Schmelzer - 06-14-2016, 08:06 AM
RE: Photon path .. - by ALT - 06-10-2016, 06:19 AM
RE: Photon path .. - by secur - 06-12-2016, 01:07 AM
RE: Photon path .. - by ALT - 06-23-2016, 05:45 AM
RE: Photon path .. - by secur - 06-26-2016, 02:08 AM
RE: Photon path .. - by ALT - 07-10-2016, 02:28 AM
RE: Photon path .. - by Thomas Ray - 07-11-2016, 05:38 PM
RE: Photon path .. - by Le Repteux - 07-21-2016, 06:28 PM

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