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<div>Hi Albrecht & Curious:</div>
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<div>Overlooked in my previous responce:</div>
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<div>If, as is done in virtually all text books on SR (I just checked Rindler, for example) time dilation is discussed in terms of the dialtion happening to a concrete objects (as it must if the Muon story is to make sense) then there is an obvious inconsitency and sever conflict with the relativity principle. Two entities cannot at once be both be dialted in the other's view and not their own. The real trick here is explaing how this is not obvious to authors of text books! Maybe, to paraphrase Weinburg: That stupid people say dumb things is natural, to get smart people to say dumb things, it takes physics!</div>
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<div>Your explantion (or my prefered version: perspctive) renders the objection both mute and sterile wrt muons, however. </div>
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<div style="margin:0 0 10px 0;"><b>Gesendet:</b> Sonntag, 11. Oktober 2015 um 22:55 Uhr<br/>
<b>Von:</b> "Dr. Albrecht Giese" <genmail@a-giese.de><br/>
<b>An:</b> general@lists.natureoflightandparticles.org, "A. F. Kracklauer" <af.kracklauer@web.de><br/>
<b>Betreff:</b> Re: [General] nature of light particles & theories</div>
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<div style="background-color: rgb(255,255,255);">Hi Al,<br/>
<br/>
about time dilation.<br/>
<br/>
The problem is that time dilation looks inconsistent at the first glance. But it is not. I shall try to explain. It has to do with clock synchronization. (I try to do it without graphics, which would be easier, but a problem in an email.)<br/>
<br/>
Assume that there are two inertial systems, I call them A and B. Both move in relation to each other at some speed v. Now assume that there are clocks distributed equally over both systems. And of course in both systems the clocks are synchronized. Now there comes a relativistic effect. If the observer in A looks to the clocks in B, he finds them desynchronized. The clocks which are in front with respect to the direction of motion are retarded, the ones in the rear advanced. Similar in the other system. If an observer in B looks to the clocks in A, he finds them also desynchronized in the way that the clocks in the front are retarded and the clocks in the rear advanced. Shall I explain why this happens? If you want, I can do it. But next time to keep it short here.<br/>
<br/>
Now, what is dilation in this case?<br/>
<br/>
If the observer in A takes one of the clocks in B and compares it to those clocks in his own system, which is just opposite in sequence, then the clock in B looks slowed down. But if he takes one clock in his own system, A, and compares it to the clocks in B which are opposite in sequence, the clocks in B look accelerated.<br/>
<br/>
Now it looks in a similar way for the observer in B. If the observer in B does the equivalent to the observer in A just described, he will make just the same experience. No contradiction!<br/>
<br/>
In the case of the muons: The muon which will decay is in the position of a clock in the muon-system, and this clock is slowed down as seen from the observer at rest as described above, and this is no violation of symmetry between the systems. If an observer, who moves with the muon, looks to the clocks of the system at rest, he will find those clocks accelerated. No contradiction. Correct?<br/>
<br/>
Albrecht <br/>
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