On Fri, Jan 3, 2014 at 10:19 AM, Edgar L. Owen <edgaro...@att.net> wrote:

> Jason,
>
> If the acceleration is the same, the slowing of clock time will be the
> same... Doesn't matter where it is. Or equivalently (by the principle of
> equivalence) it could be standing 'still' in a strong gravitational field.
>
> Edgar
>
>

Okay but this is certainly not what happens.  If you spent 4 minutes
accelerating and came back, there would not be a 4 year age difference when
Pam returned.

Jason



>
>
>
> On Friday, January 3, 2014 10:06:08 AM UTC-5, Jason wrote:
>>
>>
>>
>>
>> On Fri, Jan 3, 2014 at 9:21 AM, Edgar L. Owen <edga...@att.net> wrote:
>>
>>> Lliz, Brent and Jason,
>>>
>>> Actually Liz is correct here, by GR it is the acceleration. That is the
>>> physical cause of the clock time differences of the twins.
>>>
>>
>> In my experiment, lets say the acceleration lats for a total of 4
>> minutes: one minute to accelerate up to 0.8 c, one minute to slow down at
>> Proxima Centauri, one minute to accelerate back up to 0.8 c toward Earth,
>> and a final minute to accelerate down to back at Earth.
>>
>> If the accelerations alone account for the clock discrepancies, then
>> there would be no need to go to Proxima Centauri at all.  Pam could spend 4
>> minutes whizzing around the solar system and get in all the same
>> accelerations.
>>
>> Is this what you are saying?
>>
>> Jason
>>
>>
>>> It is true the effects can also be analyzed just by spacetime paths as
>>> others have suggested, but it is actually the acceleration (or equivalent
>>> gravitational field which is in effect an acceleration) which actually
>>> physically produces the clock time differences when the twins meet up again.
>>>
>>> Edgar
>>>
>>>
>>> On Friday, January 3, 2014 1:27:55 AM UTC-5, Liz R wrote:
>>>>
>>>> On 3 January 2014 17:30, meekerdb <meek...@verizon.net> wrote:
>>>>
>>>>>  On 1/2/2014 8:00 PM, LizR wrote:
>>>>>
>>>>>  On 3 January 2014 15:52, Jason Resch <jason...@gmail.com> wrote:
>>>>>
>>>>>   On Thu, Jan 2, 2014 at 9:31 PM, LizR <liz...@gmail.com> wrote:
>>>>>>
>>>>>>> Jason,
>>>>>>>
>>>>>>>  You may be missing the fact that the acceleration of the space
>>>>>>> traveller is what causes the twin paradox.
>>>>>>>
>>>>>>
>>>>>>  I would say it is not so much the acceleration that explains the
>>>>>> paradox, but the fact that no matter how you rotate the paths, you always
>>>>>> see a kink in the path Pam takes.
>>>>>>
>>>>>
>>>>>  May I venture to suggest this is the same thing :-)
>>>>>
>>>>>
>>>>> That's not exactly wrong - but it tends to make it confusing.  It's
>>>>> like saying a road from A to B is longer than as-the-crow-flies because of
>>>>> its curves.  Yeah, that's true; but if you want to calculate how much
>>>>> longer you see that the rate of excess distance is proportional to the
>>>>> first integral of the curvature and so the total excess is the second
>>>>> integral of the curvature - which is just the distance.  So it boils down
>>>>> to unstraight lines are longer than straight lines.  All the specific
>>>>> details of acceleration get integrated out so it's easy to see that a
>>>>> broken line (infinite accelerations) is just longer.  Or in spacetime,
>>>>> unstraight worldlines are shorter than straight ones.  To phrase it in
>>>>> terms of acceleration misleads people into thinking about the stressful
>>>>> effects of acceleration and how that could affect a clock,...
>>>>>
>>>>> I bow to your superior knowledge. I wasn't thinking about the aging
>>>> effects of acceleration (as in the Heinlein story where they have to fly to
>>>> Pluto at 3G) but just the fact that the course changes are the only way the
>>>> twin paradox can be enacted - that is to say, it's what breaks the symmetry
>>>> that otherwise exists between one ref frame's measurements and another's.
>>>>
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