Richard,

That's my point exactly. He can't. See my response just posted explaining 
that in detail.

Edgar

On Thursday, February 13, 2014 1:46:18 PM UTC-5, yanniru wrote:
>
>
>
>
> On Thu, Feb 13, 2014 at 1:39 PM, Jesse Mazer <[email protected]<javascript:>
> > wrote:
>
>>
>>
>> On Thu, Feb 13, 2014 at 12:55 PM, Edgar L. Owen <[email protected]<javascript:>
>> > wrote:
>>
>>> Jesse,
>>>
>>> See my proximate response to Liz who asked the same question. Basically 
>>> relativity theory gives you the equations for both frames for any 
>>> relativistic situation. So all you have to do is do the calculations like 
>>> I've explained to you with nearly a dozen examples.
>>>
>>> To the question in your last paragraph. Yes, of course we assume 
>>> originally synchronized clocks. Remember this is a thought experiment, and 
>>> that is clearly possible if we assume it's done at rest relative to each 
>>> other and then magically without acceleration (your instantaneous 
>>> acceleration, which is also physically impossible, but has the exact same 
>>> thought effect). 
>>>
>>> So do you agree that given synchronized clocks, A and B in relative 
>>> motion will still have synchronized clocks in their own frames to each 
>>> other? I.e., that A will have the same reading on his own clock that B does 
>>> on his own clock?
>>>
>>
>> "Same reading" using what definition of simultaneity? If you're talking 
>> about p-time simultaneity, then I don't agree, because I don't believe in 
>> p-time in the first place. If you're talking about the "same reading" using 
>> the definition of simultaneity assumed in each one's own rest frame, then I 
>> still don't agree. Say that two observers Alice and Bob have their clocks 
>> set to zero when they are at the same point in spacetime (i.e. if I use A 
>> to represent the event of Alice's clock reading 0, and B to represent the 
>> event of Bob's clock reading 0, then all frames will assign exactly the 
>> same space and time coordinates to B that they assign to A), and from that 
>> meeting at a common spatial location they move away from each other 
>> inertially at 0.6c, so in each one's frame the other has a time dilation 
>> factor of sqrt(1 - 0.6^2) = 0.8. Then in Alice's rest frame, the event of 
>> her clock reading 25 would be simultaneous with the event of Bob's clock 
>> reading 20. In Bob's rest frame, the event of his clock reading 25 would be 
>> simultaneous with the event of Alice's clock reading 20 (and in his frame 
>> the event of his clock reading 20 would be simultaneous with the event of 
>> Alice's clock reading 16). Do you disagree with these conclusions about 
>> frame-dependent simultaneity in SR?
>>  
>>  
>>
>>>
>>> And do you also agree that when the relative motion magically stops, 
>>> their clocks will still read the same as each other's, AND they will both 
>>> be the same age because of that?
>>>
>>
>> No, I don't agree. Using the numbers above, if Bob instantaneously 
>> accelerates to come to rest relative to Alice when his clock reads 20, then 
>> he will now be at rest in Alice's rest frame, and it'll still be true in 
>> this frame that the event of Alice's clock reading 25 is simultaneous with 
>> Bob's clock reading 20. Likewise, if Alice instantaneously accelerates to 
>> come to rest relative to Bob when her clock reads 20, she will now be at 
>> rest in Bob's rest frame, and it'll still be true in this frame that the 
>> event of Bob's clock reading 25 is simultaneous with Alice's clock reading 
>> 20. Do you disagree with these conclusions?
>>
>
> How can Bob age 5 years because Alice instantly accelerated into his rest 
> frame?
> I do not agree. 
>
>>   
>>
>>>
>>> This is just elementary relativity theory, nothing to do with p-time at 
>>> all... 
>>>
>>
>> Yes, it is elementary, and if you disagree with any of my statements 
>> about SR above then you need to go back and learn the basics of how SR math 
>> actually works.
>>  
>> Jesse
>>
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