On Sun, Dec 10, 2017 at 10:06 PM, <[email protected]> wrote:

​> ​
> Excellent summary. TY. But why would Einstein think there could be a
> covariant theory for accelerating frames
>

​The speed of light doesn't change even for an accelerating observer ​nor
does the spacetime distance between 2 events.

​
Einstein figured there must be a reason why. ​
​Also, before Einstein there were 2 different kinds of mass, inertial mass
and gravitational mass, Einstein had a hunch there was really only one sort
of mass and tried to find a relation between the two. ​And he found it.


> ​> ​
> when an observer inside such a frame can do measurements to confirm
> acceleration and differences with other such frames
>

​The observer can't tell if he is accelerating or in a gravitational
 field.​



> ​> ​
> unlike the case for inertial frames which are clearly equivalent?
>

Not everything is equivalent. You and I may not be accelerating and both be
in inertial frames but if we
​ are​
moving at different velocities then 2 events that are simultaneous for me
may not be simultaneous for you. The fact that simultaneity is not the same
for everyone turns what would otherwise be a logical paradox into something
that is just very strange
​;​
if we're
​both ​
in inertial frames
​and ​
in motion with respect to each other then I see your clock running slow and
you see my clock running slow.

 John K Clark

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