Brent, and Liz,

We have to be careful in our choice of words here.

It is quite clear that e.g. during relative motion of frames A and B, that 
each sees the other's clock running slower. So the two frames DO NOT give 
the same results here.

However when one twin returns with a different clock time and STOPS both 
twins agree on the resulting different clock times.

Relativity says this is due to the acceleration of the traveling twin. But 
my question is 'acceleration relative to WHAT?'

The very notion of acceleration (including that of Newton's bucket) assumes 
there is an absolute background space in some sense that acceleration is 
relative to.

I have a theory to explain this by the way spacetime is created by quantum 
events and thus must take on aspects of the frames of the events that 
create it. The cumulative large scale effect of this is to produce a very 
particular notion of absoluteness roughly aligned with the distribution of 
the mass of the universe. This because that mass undergoes the quantum 
events that produce the space that mass resides in.

This explains why Mach Principle that the rotational acceleration of 
Newton's bucket is with respect to the cosmological mass of the universe is 
roughly correct. But it provides an actual theory for why this is true.

Edgar





On Friday, February 7, 2014 9:06:43 PM UTC-5, Brent wrote:
>
>  On 2/7/2014 5:53 PM, [email protected] <javascript:> wrote:
>  
>
> On Friday, February 7, 2014 10:34:50 PM UTC, Edgar L. Owen wrote: 
>>
>> Ghibbsa, 
>>
>>  Well yes, basically that's it. The question I have is why we have to 
>> choose one frame over the other to get the correct results.
>>  
>  
> You don't.  But in almost all cases there is a frame in which it is easy 
> to apply the equations, one that takes advantage of symmetries and leaves 
> out negligible effects.  So you do the analysis is that frame and then you 
> transform the answer if necessary to some other frame of interest.  But in 
> general what you're interested in is frame independent: Did the spaceship 
> rendezvous with the planet or miss it?  Did the tank fall in the pit or 
> not?  To do the transformation you have to know how things transform, which 
> for inertial frames in flat spacetime is by Lorentz transformations, i.e. 
> those that leave lightcones invariant.
>
> Brent 
>  

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