Unanswered S.R. Paradoxes



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Topic: Science > Physics
User: "mkolchins"
Date: 30 Mar 2005 09:34:51 AM
Object: Unanswered S.R. Paradoxes
Over the course of the last month or so I have posted two paradox’s
related to an example from part of a video lecture by Professor
Richard Wolfson on Relativity of Simultaneity. To date only Nick has
attempted to answer them and he suggested that the spaceship was
somehow the one that was really moving which to my understanding is
antithetical to S.R.’s tenet that there are no preferred frames of
reference, so I am re-posting them again. In addition I have added a
third question related to accelerated motion and the twin paradoxes.
QUESTION 1.
Professor Wolfson used an example of an earth and star frame of
reference at rest with respect to each other and a spaceship
traveling at 0.8 “c” past an observer on earth toward the star that
was 10 light years from earth in the earth/ star frame of reference.
In the lecture Professor Wolfson noted an observer on the space ship
and on earth would both see themselves as stationary an the other as
moving and therefore distance and time for the other would appear to
be shorter and slower in both cases however this paradox could be
explained away by the relativity of simultaneity, whereby a clock on
the star that was synchronized with a clock on earth in their frame
of reference would seem out of synchronization with the earth clock
in the space ships frame of reference.
I was wondering though what if the space ship passed by the observer
on earth close enough so that both observers could hold up signs
indicating to the other observer how far away the star was in their
respective frames of reference. Assuming the spaceship observer held
his sign up in a window and they could both find a way to read the
signs which observer would indicate the greater distance and which
the lesser distance according to S.R.?
In my original post there was some speculation about the means by
which the observers would read each others signs, I can slow this
example down to a passenger in a moving car and a pedestrian standing
on the side of the road observing a distant building. They should have
no problem reading each others signs as they pass, assuming the signs
are fairly large and according to SR they should still observe
different distances only very minor.
QUESTION 2.
I am assuming that if the laws of physics are the same in all frames
of reference that includes the predictive abilities of SR. If we take
my original example of a spaceship passing an observer on earth at 0.8
c relative to the earth frame of reference the earth observer will
predict that the spaceship observer will view the star to be closer
than he observes it to be but because the spaceship observer views
his frame of reference to be at rest and the earth to be moving he
will predict that the earth observer will view the star to be closer
than he observes it to be. What happened to the predictive powers of
relativity here? Is the earth observer right when he calculates the
that the spaceship observer will view the star to be closer and if so
is the spaceship observer also right when he calculates that the earth
observer will view the star to be closer? Are the predictive powers of
SR right in both frames of reference?
QUESTION 3
If we consider the traditional twin paradox whereby one of two twins
on earth takes off in a spaceship journeys to a nearby star turns
around and comes back to earth, according to S.R. the fact that the
twin who flew in the spaceship experienced accelerated motion when it
turned around means it broke the symmetry of each twin thinking he was
at rest and the other was moving and this is how he becomes the
younger twin upon arrival back on earth.
I was wondering though what if just before the twin who flew to the
star was due to arrive back on earth the twin on earth took off in
another spaceship, orbited the earth a few times, rendevued with his
brothers ship and they both landed back on earth at the same time.
Who is older and who is younger? The purpose of the question is to
inquire about what happens when both twins experience accelerated
motion prior to re-uniting. Another versions of this could include
the twin on earth flying a spaceship in accelerated motion at the
same time his twin in turning around. One last version I thought of
involves the observer in the spaceship and the earth observer from my
first two questions. What if the spaceship turns around at the star
comes back past earth however shortly before he does the earth
observer takes off in another spaceship accelerates up to the same
speed as the first ship such that they meet each other and join
together. When the two observers compare the time elapsed since they
passed each the first time who will have experienced greater time
lapse?
Mike K.
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User: "mkolchins"

Title: Re: Unanswered S.R. Paradoxes 31 Mar 2005 09:34:47 AM

QUESTION 2.

I am assuming that if the laws of physics are the same in all

frames

of reference that includes the predictive abilities of SR. If we

take

my original example of a spaceship passing an observer on earth at
0.8
c relative to the earth frame of reference the earth observer will
predict that the spaceship observer will view the star to be closer
than he observes it to be

OK.

but because the spaceship observer views
his frame of reference to be at rest and the earth to be moving he
will predict that the earth observer will view the star to be

closer

than he observes it to be.

No, that is not what SR predicts. That is the 'comic-book'
interpretation of SR

The concept of each observer considering themselves to be at rest and
the other in motion and as a result each predicts the other will see
time and space as shorter is not my own, it is straight from
Professor Wolfson's lecture. As I mentioned in my opening Professor
Wolfson used this as an example of a seeming paradox that he
explained away with relativity of simultaneity. I am just re-using
his example and asking how you can explain it without relying on a
clock on a distant star being in sync in one frame of reference and
out of sync in another.
Professor Wolfson produced a video lecture series entiltled:
"Einsteins Relativity and the Quantum Revolution for Non Scientist".
I doubt he would have included this example in his lecture if the
concept was not well excepted. This concept according to Professor
Wolfson comes from the S.R. tenet that the laws of physics are the
same in all frames of reference in uniform motion. In this case each
observer can equally claim to be at rest and the other in motion.
Mike K.
Posted at: http://www.groupsrv.com
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User: "Paul Cardinale"

Title: Re: Unanswered S.R. Paradoxes 31 Mar 2005 12:58:56 PM
mkolchins wrote:

QUESTION 2.

I am assuming that if the laws of physics are the same in all

frames

of reference that includes the predictive abilities of SR. If we

take

my original example of a spaceship passing an observer on earth at
0.8
c relative to the earth frame of reference the earth observer will
predict that the spaceship observer will view the star to be closer
than he observes it to be

OK.

but because the spaceship observer views
his frame of reference to be at rest and the earth to be moving he
will predict that the earth observer will view the star to be

closer

than he observes it to be.

No, that is not what SR predicts. That is the 'comic-book'
interpretation of SR


The concept of each observer considering themselves to be at rest and
the other in motion and as a result each predicts the other will see
time and space as shorter is not my own, it is straight from
Professor Wolfson's lecture.

You are confused. Perhaps the lecture was poorly worded, or perhaps
you don't remember it correctly, or perhaps you misunderstood what was
said. The statement "each predicts the other will see time and space
as shorter" is very poorly worded. Each will observe that a coordinate
system, moving with respect to the observer is contracted compared to
one that is stationary with respect to the observer. Try plugging in
some numbers and working the math. If you transform from x to x' then
from x' to x, you get back the original.
Paul Cardinale
.


User: "mkolchins"

Title: Re: Unanswered S.R. Paradoxes 30 Mar 2005 03:34:42 PM

Uncle Alwrote:

mkolchins wrote:


Over the course of the last month or so I have posted two paradox’s
related to an example from part of a video lecture by Professor
Richard Wolfson on Relativity of Simultaneity.

Bear in mind that you are an idiot.

I'm an idiot for asking a question?
Internal inconsistencies in SR.(meaning inconsistencies of a purely
mathematical logical nature)
automatically lead to contradictions in number theory, itself, and
arithmetic, since the mathematics of Minkowski geometry is
equiconsistent with the theory of real numbers and with arithmetic.

To date only Nick has
attempted to answer them
[snip 85 lines of crap][/quote:bbd35348af]

Raemsh is an idiot's idiot,
http://www.mazepath.com/uncleal/effete6.jpg
http://www.mazepath.com/uncleal/sunshine.jpg
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/qz.pdf[/quote:bbd35348af]
Posted at: http://www.groupsrv.com
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User: "mkolchins"

Title: Re: Unanswered S.R. Paradoxes 31 Mar 2005 11:34:58 PM

You are confused. Perhaps the lecture was poorly worded, or

perhaps

you don't remember it correctly, or perhaps you misunderstood what

was

said. The statement "each predicts the other will see time and

space

as shorter" is very poorly worded. Each will observe that a

coordinate

system, moving with respect to the observer is contracted compared

to

one that is stationary with respect to the observer. Try plugging

in

some numbers and working the math. If you transform from x to x'

then

from x' to x, you get back the original.

Paul Cardinale[/quote]

I admit it is possible I could misinterpret concepts of S.R. however I
don't think I misinterpreted this one, I reviewed this particular
lecture a few times to make sure I was interpreting it correctly
before my first post on the subject.
Professor Wolfson first used the spaceship and earth observer example
to demonstrate the difference in round trip time and distance to the
star that the space ship observer would experience as judged from the
earth observers frame of reference. In this example the distance to
the star was shorter for the space ship observer as well as the time
to get there. Professor Wolfson then went on to use this same example
to argue that due to S.R.'s tenet that the laws of physics are the
same in all frames of reference in uniform motion, the spaceship
observer could equally well state that in his frame of reference it
is he who is at rest and it is the earth observer who is in motion
and therefore the distance to the star and time to get there should
seem shorter to the earth observer. Professor Wolfson then went on to
point out that in fact both interpretations are correct and went on to
demonstrate how relativity of simultaneity resolves this apparent
paradox.
I paraphrased the content of the lectures for brevity and I may have
used poor terminology in my previous posts, I hope this one is
clearer. I am sure that you are aware that physics is not my
background. I have long forgotten the little bit of calculus I
learned in college and therefore I shy away from any math not because
I don't think it is important but becuase it is beyond my meager
abilities.
Mike K.
Posted at: http://www.groupsrv.com
Posted Via Usenet.com Premium Usenet Newsgroup Services
----------------------------------------------------------
** SPEED ** RETENTION ** COMPLETION ** ANONYMITY **
----------------------------------------------------------
http://www.usenet.com
.

User: "Uncle Al"

Title: Re: Unanswered S.R. Paradoxes 30 Mar 2005 10:27:46 AM
mkolchins wrote:


Over the course of the last month or so I have posted two paradox’s
related to an example from part of a video lecture by Professor
Richard Wolfson on Relativity of Simultaneity.

Bear in mind that you are an idiot. Internal inconsistencies in SR
(meaning inconsistencies of a purely mathematical logical nature)
automatically lead to contradictions in number theory, itself, and
arithmetic, since the mathematics of Minkowski geometry is
equiconsistent with the theory of real numbers and with arithmetic.

To date only Nick has
attempted to answer them

[snip 85 lines of crap]
Raemsh is an idiot's idiot,
http://www.mazepath.com/uncleal/effete6.jpg
http://www.mazepath.com/uncleal/sunshine.jpg
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/qz.pdf
.

User: "Paul Cardinale"

Title: Re: Unanswered S.R. Paradoxes 30 Mar 2005 04:36:22 PM
mkolchins wrote:
[snip]

QUESTION 1.

Professor Wolfson used an example of an earth and star frame of
reference at rest with respect to each other and a spaceship
traveling at 0.8 "c" past an observer on earth toward the star

that

was 10 light years from earth in the earth/ star frame of reference.
In the lecture Professor Wolfson noted an observer on the space ship
and on earth would both see themselves as stationary an the other as
moving and therefore distance and time for the other would appear to
be shorter and slower in both cases however this paradox could be
explained away by the relativity of simultaneity, whereby a clock on
the star that was synchronized with a clock on earth in their frame
of reference would seem out of synchronization with the earth clock
in the space ships frame of reference.

I was wondering though what if the space ship passed by the observer
on earth close enough so that both observers could hold up signs
indicating to the other observer how far away the star was in their
respective frames of reference. Assuming the spaceship observer held
his sign up in a window and they could both find a way to read the
signs which observer would indicate the greater distance and which
the lesser distance according to S.R.?

The Earthbound observer indicates the greater distance.
[snip]

QUESTION 2.

I am assuming that if the laws of physics are the same in all frames
of reference that includes the predictive abilities of SR. If we take
my original example of a spaceship passing an observer on earth at

0.8

c relative to the earth frame of reference the earth observer will
predict that the spaceship observer will view the star to be closer
than he observes it to be

OK.

but because the spaceship observer views
his frame of reference to be at rest and the earth to be moving he
will predict that the earth observer will view the star to be closer
than he observes it to be.

No, that is not what SR predicts. That is the 'comic-book'
interpretation of SR.
[snip]

Are the predictive powers of
SR right in both frames of reference?

Yes, it is right, but is does not agree with your misinterpretation of
SR.


QUESTION 3

If we consider the traditional twin paradox whereby one of two twins
on earth takes off in a spaceship journeys to a nearby star turns
around and comes back to earth, according to S.R. the fact that the
twin who flew in the spaceship experienced accelerated motion when it
turned around means it broke the symmetry of each twin thinking he

was

at rest and the other was moving and this is how he becomes the
younger twin upon arrival back on earth.

I was wondering though what if just before the twin who flew to the
star was due to arrive back on earth the twin on earth took off in
another spaceship, orbited the earth a few times, rendevued with his
brothers ship and they both landed back on earth at the same time.
Who is older and who is younger?

Same as before the orbiting: the Earthbound twin is older.

The purpose of the question is to
inquire about what happens when both twins experience accelerated
motion prior to re-uniting.

The relationship between acceleration and aging is rather like the
relationship between turning the steering wheel on your car, and the
distance traveled: how much effect it has depends upon other factors.

Another versions of this could include
the twin on earth flying a spaceship in accelerated motion at the
same time his twin in turning around.

See above.

One last version I thought of
involves the observer in the spaceship and the earth observer from my
first two questions. What if the spaceship turns around at the star
comes back past earth however shortly before he does the earth
observer takes off in another spaceship accelerates up to the same
speed as the first ship such that they meet each other and join
together. When the two observers compare the time elapsed since they
passed each the first time who will have experienced greater time
lapse?

Same as before: the Earthbound twin is older.
In any case, the amount of elapsed proper time on a clock is equal to
the integral of the spacetime interval along the path. That value is
the same in all frames of reference.
Paul Cardinale
.


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