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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 ..
#26
(05-14-2016, 01:28 PM)ALT Wrote: Put it this way - if my emitter had rectilinear motion at 1/2 c, we would not add this to c and say the photon is travelling at 150% c. So why then, add the transverse motion ? Why does it get pushed sideways but not forward ? After all, there would be much more forward push than sideways push in this case.

Does a photon leave the laser tip instantaneously and at full c and therefore unaffected by the emitters motion, or does it take some time to reach c (no matter how minute) and therefore defeat the c constant itself.
If the emitter would have a rectilinear motion \(v=\frac12 c\), we would nonetheless add this to c.  Of course, as always, vector addition, thus, we have to add (0,c,0) and (v,0,0).  Even this would not give 150% c, but (v,c,0), which for \(v=\frac12 c\) gives only \(\frac{\sqrt{5}}{2}c\) as the speed.  And, of course, we would have to apply the relativistic formula for velocity addition, so that we get only \((v,c\sqrt{1-v^2/c^2},0)\).  

The same relativistic formula we would apply also to motion in the same direction.  The general formula (see here) gives in the case for u and v in the same direction the result \[\frac{u+v}{1+\frac{uv}{c^2}},\] which, for \(u=c\) gives simply c.  

We have a formula for velocity addition, and we apply this formula always.  Nothing special if one of the velocities is c. So, the very question if the photon has always c (it has) or not does not change anything.  The same formula for velocity addition would have to be applied anyway.
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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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