On Thu, Feb 13, 2014 at 2:28 PM, Edgar L. Owen <[email protected]> wrote:

> Jesse,
>
> I haven't seen any book on relativity point this out even though it is
> quite obviously what relativity actually does. Do you deny relativity gives
> equations for BOTH frames for each single relativistic scenario? That, my
> friend, is frame independence....
>

Sure, it gives equations for both frames, but you haven't given any sort of
mathematical derivation to show how this leads to the conclusion that there
must be a unique "true" definition of simultaneity, or what that definition
would be. In Cartesian geometry we can have different coordinate systems
which have different equations for which markings on different measuring
tapes have the same y-coordinate, but you DON'T conclude that this implies
there must be a unique "true" way of defining something like "y-equality".



>
> Answer to second paragraph. Depends on what you mean by "instantaneous
> acceleration". There is no such thing yet you are claiming it has an actual
> physical effect.
>

See my other recent post where I explained that "instantaneous
acceleration" can be understood either in terms of the limit as a finite
acceleration period gets briefer and briefer, or just an approximation for
an acceleration that's very brief compared to the timescales that we are
considering in the problem.

Jesse


>
>
>
>
>
> On Thursday, February 13, 2014 2:09:29 PM UTC-5, jessem wrote:
>>
>>
>>
>> On Thu, Feb 13, 2014 at 1:55 PM, Edgar L. Owen <[email protected]> wrote:
>>
>>> Jesse,
>>>
>>> The same reading in the exact same sense that relativity tells us they
>>> do which I've already explained for the nth time. It's in the same frame
>>> independent sense that relativity is able to meaningfully define 2 frames
>>> for any 1 relativistic scenario. That gives us the frame independent method
>>> to get the answer. That answer is given by relativity theory, not by p-time
>>> theory.
>>>
>>
>>
>> But do you agree that this is your own original conclusion about the
>> implications of SR that somehow all mainstream physicists have missed, that
>> no relativity textbook will discuss any "frame independent method" to
>> determine simultaneity?
>>
>> Also, do you agree that your statement "when the relative motion
>> magically stops, their clocks will still read the same as each other's"
>> would NOT be true if we were comparing readings in their common rest frame
>> after one observer magically undergoes an instantaneous acceleration to
>> come to rest relative to the other? If you disagree, please tell me if you
>> disagree with the specific numbers I gave (for example, if Bob
>> instantaneously accelerates at age 20 to come to rest relative to Alice,
>> then in their mutual rest frame immediately after the acceleration, Alice's
>> clock reads 25 simultaneously with Bob's reading 20). And if you agree with
>> that, does this mean that the answer for frame-independent simultaneity
>> that is "given by relativity theory" according to you is actually DIFFERENT
>> than the answer given by p-time simultaneity, since you said before that
>> for two clocks at rest relative to each other, readings which are
>> simultaneous in their common rest frame should be simultaneous in p-time?
>>
>> Jesse
>>
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