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Author Topic:   Purple dosn't beleve in relativity
JonF
Member (Idle past 190 days)
Posts: 6174
Joined: 06-23-2003


Message 27 of 114 (165931)
12-07-2004 2:25 PM
Reply to: Message 19 by PurpleYouko
12-07-2004 1:29 PM


Re: Relativity! Fact or fiction? you choose
A's elapsed time is shorter than B's but B's is also shorter than A's.
How can you have two identical peices of string that are both the shorter of the two?
What you are missing is identifying the observer or the reference frame in your statements and questions. One thing relativity tells us is that identifying the reference frame is crucial. It also tells us that measurements in different reference frames may come out differently; time looks different to observers that are moving relative to each other. You have not identified the frames properly.
In A's frame A's elapsed time is shorter than B's. In B's frame B's elapsed time is shorter than A's. There is no paradox. The measurements are made in different frames and need not agree. If you use the equations that relativity provides to transform the results from one frame to another you get consistent, agreeing answers.
But your second picture is drawn from the point of view of another observer, call her C, in a third frame. You didn't draw in observer C or identify her. Unintentionally introducing new and unidentified frames is a common cause of confusion in relativity. In C's reference frame, A is moving to the right and B is moving to the left, and each is moving with the same speed. From C's point of view, A's elapsed time is the same as B's elapsed time, and both are slower than C's elapsed time. In your second picture, t1 and t3 are both C's time, t2 is A's time, t4 is B's time, and t1 = t3 and t2 = t4 > t1.
If you want to just stick to A and B, you have to use either the first picture you posted (which is how the situation appears in B's frame) or use this one, a re-labeled mirror, that shows how the situation appears in A's frame:
Here we see the full symmetry between your first picture and this one; t5 = t2 and t6 = t1.
Always identify the frame or point of view when you make a statement. You can have two pieces of string that are identical when viewed in a reference frame in which they are not moving relative to each other, but piece A is shorter when viewed from a reference frame in which piece A is moving and piece B is not, and piece B is shorter when viewed from a frame in which piece B is moving and piece A is not.
{edited to correct a "B" to "A"}
This message has been edited by JonF, 12-07-2004 02:32 PM

This message is a reply to:
 Message 19 by PurpleYouko, posted 12-07-2004 1:29 PM PurpleYouko has replied

Replies to this message:
 Message 31 by PurpleYouko, posted 12-07-2004 2:38 PM JonF has replied

  
JonF
Member (Idle past 190 days)
Posts: 6174
Joined: 06-23-2003


Message 30 of 114 (165934)
12-07-2004 2:35 PM
Reply to: Message 29 by PurpleYouko
12-07-2004 2:28 PM


Re: Relativity! Fact or fiction? you choose
Only 2 POVs actually. I didn't specify a third observer in this particular example
Ah, er, yes, you did. You probably didn't realize it, and you certianaly didn't explicitly specify it; but your second picture implicitly requires a third observer as I discussed in the message I just posted. Without a third observer your second picture makes no sense.

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 Message 29 by PurpleYouko, posted 12-07-2004 2:28 PM PurpleYouko has not replied

  
JonF
Member (Idle past 190 days)
Posts: 6174
Joined: 06-23-2003


Message 32 of 114 (165942)
12-07-2004 3:11 PM
Reply to: Message 31 by PurpleYouko
12-07-2004 2:38 PM


Re: Relativity! Fact or fiction? you choose
What about in a hypothetical "absolute" frame of reference?
Sorry, there is no such thing.
or maybe I should say from the frame of reference of the light beam.
That's just the most extreme extension of what we're talking about already, in which no time elapses for the observer while any amount, up to infinite, time elapses for the rest of the universe.

This message is a reply to:
 Message 31 by PurpleYouko, posted 12-07-2004 2:38 PM PurpleYouko has not replied

  
JonF
Member (Idle past 190 days)
Posts: 6174
Joined: 06-23-2003


Message 100 of 114 (168717)
12-15-2004 8:11 PM
Reply to: Message 99 by Sylas
12-15-2004 7:04 PM


Re: The Milky way IS in the "center"
Surely for something to expand, it would have to have something there which is actually doing the expansion. ... This also suggests that the media through which bits of the universe are travelling would have to have a profound effect on those bits of the universe (planets stars etc.). Sounds a lot like the Aether theory to me.
I don't understand this paragraph. No media or aether is involved.
PurpleYouko initially thinks that there must be some "thing" expanding, and follows that thought to a logical conclusion which is suspiciously like aether, and is then puzzled because either the initial thought is wrong or there must be an aether ... neither possibility seems attractive.

This message is a reply to:
 Message 99 by Sylas, posted 12-15-2004 7:04 PM Sylas has not replied

Replies to this message:
 Message 101 by PurpleYouko, posted 12-16-2004 9:15 AM JonF has not replied

  
JonF
Member (Idle past 190 days)
Posts: 6174
Joined: 06-23-2003


Message 104 of 114 (169147)
12-16-2004 7:20 PM
Reply to: Message 102 by Sylas
12-16-2004 6:43 PM


Re: The Milky way IS in the "center"
Interesting. I don't get the last line of the table.
(I don't know why I get a large space above my table.)
Happens to me, too, whenever I do a table. I bet it's a bug/feature.

This message is a reply to:
 Message 102 by Sylas, posted 12-16-2004 6:43 PM Sylas has not replied

  
JonF
Member (Idle past 190 days)
Posts: 6174
Joined: 06-23-2003


Message 106 of 114 (169289)
12-17-2004 7:42 AM
Reply to: Message 102 by Sylas
12-16-2004 6:43 PM


OT: tables
Interestingly, Percy's table in this message doesn't have the preceding space problem.

This message is a reply to:
 Message 102 by Sylas, posted 12-16-2004 6:43 PM Sylas has not replied

  
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