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Edward Green  
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 More options Oct 27 2002, 7:59 pm
Newsgroups: sci.physics, sci.math, sci.logic
From: nullde...@aol.com (Edward Green)
Date: 27 Oct 2002 06:29:57 -0800
Local: Sun, Oct 27 2002 7:59 pm
Subject: Re: A small doubt about "clock paradox".

George Greene <gree...@eagle.cs.unc.edu> wrote in message <news:xesn0p1xb2w.fsf@eagle.cs.unc.edu>...
> da...@cogentex.com (Daryl McCullough) writes:
>  : Yes, but the difference is that in the three-clock case, no
>  : clock is physically accelerated. That should put an end to
>  : the idea that time dilation is something physical
>  : that happens to clocks when they accelerate.

> No, it doesn't.  You still haven't resolved the paradox.
> If the situation is really symmetrical among the 3 clocks,
> then you have paradox.  

Well, it's not.  Uncle VitriAl may be a foam flecked bile spewing
jackass painfully croaking obscenities from cracked and blackened lips
-- but he did not propose a thought experiment where the 3 clocks
enter symmetrically.

<...>

> Time dilation is self-contradictory bullshit until you can
> explain this paradox.

And your relation to unc.edu is what ... ?  Oh, I see, you are in the
CS departement.  Do you know James Hunter?

You probably wouldn't like it if I started ranting that a bubble sort
was self-contradictory bullshit, while simultaneously demonstrating a
lack of basic understanding of the bubble-sort algorithm, now would
you?  I thought not.


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Edward Green  
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 More options Oct 27 2002, 8:40 pm
Newsgroups: sci.physics, sci.math, sci.logic
From: nullde...@aol.com (Edward Green)
Date: 27 Oct 2002 07:10:09 -0800
Local: Sun, Oct 27 2002 8:40 pm
Subject: Re: A small doubt about "clock paradox".

He won't.  He may be given to spasms of free-form insult which give me
license to practice my best invective for the next 10 to 12 posts, or
until I cool off -- which ever comes later -- but I will give him
credit for realizing when he is in the wrong and at least
demonstrating the intelligence of a rock, and shutting up about it.
Better an apology, but at least not a negatively intelligent defense.

> Ed, there is no such concept in physics as a "relative velocity" in the
> abstract.  The concept is restricted to such situations as "The velocity
> of A relative to B" or "The velocity of B relative to A".  The former is
> a measurement made in the frame in which B is at rest.  Vice versa for
> the latter.

Right.  Well, I was expanding the concept "relative velocity" a tad
... though I didn't do this in the original post, so he doesn't have
that excuse.

But in the process of ranting about this, it occurs to me that we
_could_ think of "relative velocity" as a physical concept in the
abstract, one which has a frame dependent representation, like so many
other well loved physical concepts.

I pointed out in a reply to Briggs, though I don't mind repeating
myself ... well, let me change things a little.  Let's call the
abstract physical object "skedaddle"; sk( , ); which has the following
properties:  given two objects with velocities v1, v2 in an inertial
reference frame, then sk(1,2) has the representation v1 - v2 in that
frame.  To obtain the representation in a different frame we are
required to first find v1', v2' in the new frame, by the usual
methods, then again form v1' - v2'.

"Skedaddle" reduces to "relative velocity" in the sense you and the
physics community seem to prefer when one of the two position holders
v1, v2 is zero in the given frame.  On the other hand, in an arbitrary
frame, sk(1,2) is what I have suggested closing the "vector closure
rate", or one of some similar set of circumlocutions.

Now, I would think it is simpler just to call skedaddle "relative
velocity", or perhaps "relative vector velocity" consistently,
considered as an abstract frame independent object transforming
according to the stated rules: much like a vector.  But I won't insist
on it -- what is important is that the concept be recognized as a
self-consistent and meaningful object, by whatever name.

But I hadn't even suggested this nomenclature when Al's brain lesion
acted up, so he will have to think of something more powerful than the
twinky defense, even if he hires Johnny Cochran.

> The situation under dicussion which leads to a maximum speed of 2c does
> *not* involve the velocity of anything relative to anything else.  It is
> a "velocity of approach" of two objects *relative to me*, i.e. in the
> frame in which *I* am stationary.

Ok ... I won't argue strongly ... but I find it just as natural to
call this the "relative velocity in the frame in which I am
stationary".  That is, in all cases the "relative velocity" has the
property that it is the vector derivative of D == X1 - X2, the
displacement, the "vector closure rate".  In frames where I am
costationary with one of the bodies involved "vector closure rate"
maintains these general properties, while reducing to your "relative
velocity".

When the cocepts are well cemented we may go back to being sloppy.

> [...]

> > Relative velocity v1 - v2 is sensibly viewed as a physical object with
> > frame dependent representation

> You are simply privately redefining the concept of an approach velocity
> of two objects, as measured in the frame in which I am stationary.  It
> is unnecessary.

Well, Ok ... I am certainly not entitled to redefine anything, but I
think the concept could use a name and is a useful concept, since this
confusion that anything which even _sounds_ like relative velocity
must be the canonical relative velocity is endemic.  I've had to stop
and argue that the version not specifically represented in the rest
frame of one of the principals means _anything_ repeatedly.

And of course there is a certain sloppy sub-faction, typified for
today by Uncle VitriAl (I'm closing in on my quota) who want to do a
pattern recognition attack on "Doesn't get relativistic addition of
velocities ... nyah, nyah, nyah".  Save it for Spaceman
(apostrophizing this rude faction)!

Assuming contrary to fact that Spaceman were an actual seeker after
knowledge and not the uncooperative troll we see in reality, the
"Doesn't get relativistic addition of velocities ... nyah, nyah, nyah"
reply is inadequate.  An adequate reply acknowledges the extent that
the old "galilean" form of relative velocity really represents
something meaningful even within SR, before pointing out its modified
transformation properties as a physical object.

Nyah, nyah, nyah.  Myanmar!

Proof that politically correct renomenization is silly.


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Richard  
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 More options Oct 27 2002, 8:52 pm
Newsgroups: sci.physics, sci.math, sci.logic
From: Richard <no_mail_no_s...@yahoo.com>
Date: Sun, 27 Oct 2002 09:23:55 -0600
Local: Sun, Oct 27 2002 8:53 pm
Subject: Re: A small doubt about "clock paradox".

Correct with the two exceptions:
1) It is based upon an empirical premise, namely that the order of
occurrence of events in the universe is frame invariant. To be more
precise, the universe itself, in its proceedings, doesn't take into
account our psychological exceptions to its behavior when executing its
"actual" laws. The universe carried on exceptionally well before man
ever introduced the concept of frames of reference, and will do so long
after man's frames of reference are gone.

The true principle of relativity is: The laws governing the behaviors of
matter are "independent" of frames of reference.

Invariance is just a mathematical method of providing that independence,
and SR fails miserably in that regard. The relative speed of two masses
is not Lorentz invariant, but it "is" Galilean invariant.
(v_x - v'_x) = (u_x' - u'_x'), which is to say the relative
instantaneous speed of two masses in frame K is precisely equal to the
relative speed of two masses in a frame K' moving wrt frame K. Inertial
frames are not required; K and K' can be frames in any sort of motion
wrt the masses, thus satisfying the mutual "independence" of events and
any frames of reference from which they are observed.

2) It needs to be amended to read ".....counting the cycles of a
repetitive process [in a virtually closed system].

Without this amendment the repetitive process ceases to be repetitive
wrt inertial frames. And although no process is precisely repetitive,
repetitiveness cannot even be approached if we allow systems that are
not in fairly constant ambient surroundings. Inertial frames are
introduced here because time is arbitrarily regarded as linear wrt
inertial motion (per the arbitrary definition F=ma).  Accelerated clocks
would likewise serve equally well as standards so long as the correct
mathematical transformation to linear time were known, which would in
turn require taking into account variables that cannot be known without
reference to the linear passage of time, thus making the process rather
redundant right from the start, which is why it was omitted from the
original considerations.

Richard

Richard

Richard


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Richard  
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 More options Oct 27 2002, 8:55 pm
Newsgroups: sci.physics, sci.math, sci.logic
From: Richard <no_mail_no_s...@yahoo.com>
Date: Sun, 27 Oct 2002 09:27:05 -0600
Local: Sun, Oct 27 2002 8:57 pm
Subject: Re: A small doubt about "clock paradox".

Correct with the two exceptions:
1) It is based upon an empirical premise, namely that the order of
occurrence of events in the universe is frame invariant. To be more
precise, the universe itself, in its proceedings, doesn't take into
account our psychological exceptions to its behavior when executing its
"actual" laws. The universe carried on exceptionally well before man
ever introduced the concept of frames of reference, and will do so long
after man's frames of reference are gone.

The true principle of relativity is: The laws governing the behaviors of
matter are "independent" of frames of reference.

Invariance is just a mathematical method of providing that independence,
and SR fails miserably in that regard. The relative speed of two masses
is not Lorentz invariant, but it "is" Galilean invariant.
(v_x - v'_x) = (u_x' - u'_x'), which is to say the relative
instantaneous speed of two masses in frame K is precisely equal to the
relative speed of two masses in a frame K' moving wrt frame K. Inertial
frames are not required; K and K' can be frames in any sort of motion
wrt the masses, thus satisfying the mutual "independence" of events and
any frames of reference from which they are observed.

2) It needs to be amended to read ".....counting the cycles of a
repetitive process [in a virtually closed system].

Without this amendment the repetitive process ceases to be repetitive
wrt inertial frames. And although no process is precisely repetitive,
repetitiveness cannot even be approached if we allow systems that are
not in fairly constant ambient surroundings. Inertial frames are
introduced here because time is arbitrarily regarded as linear wrt
inertial motion (per the arbitrary definition F=ma).  Accelerated clocks
would likewise serve equally well as standards so long as the correct
mathematical transformation to linear time were known, which would in
turn require taking into account variables that cannot be known without
reference to the linear passage of time, thus making the process rather
redundant right from the start, which is why it was omitted from the
original considerations.

Richard


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Franz Heymann  
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 More options Oct 27 2002, 9:10 pm
Newsgroups: sci.logic
From: "Franz Heymann" <Franz.Heym...@btopenworld.com>
Date: Sun, 27 Oct 2002 15:39:27 +0000 (UTC)
Local: Sun, Oct 27 2002 9:09 pm
Subject: Re: A small doubt about "clock paradox".

"George Greene" <gree...@eagle.cs.unc.edu> wrote in message

news:xeselac9umv.fsf@eagle.cs.unc.edu...

You forgot that you have to bring the clocks together again in order to
compare them.


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Franz Heymann  
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 More options Oct 27 2002, 9:10 pm
Newsgroups: sci.physics, sci.math, sci.logic
From: "Franz Heymann" <Franz.Heym...@btopenworld.com>
Date: Sun, 27 Oct 2002 15:39:27 +0000 (UTC)
Local: Sun, Oct 27 2002 9:09 pm
Subject: Re: A small doubt about "clock paradox".

"Richard" <no_mail_no_s...@yahoo.com> wrote in message

news:3DBB5B2D.23414419@yahoo.com...

Oracular words are of no interest when I asked for a response to a
question of physics.
Better luck next time

> > > Controlled fission,
> > > hmmm Al, how the hell did that happen I wonder, I mean,
radioactive
> > > decay is independently spontaneous, uncaused, isn't it? Git.

> > You don't need fission, controlled or otherwise, to make a clock
based
> > on radioactive decay.

> You need radioactive decay, a physical event with physical causes.
> What's your point?

That you don't need fission, contrtolled or otherwise, to make a clock
based on radioactive decay.  You raised it.  Now read the reply.

> > You are out of your depth and it shows.

> Only your bared ignorance is showing.

> The launching of a system into orbit introduces physical changes to
the
> system. Cyclic systems in particular are those under consideration,
and
> the magnitude of any effects on these will depend upon the actual
> physical makeup of the system. Given forty different "types" of clocks
> that were initially synchronized, "none" of those will be ticking at
the
> same rate after the ship that contains them assumes its final orbital
> trajectory. Will you argue this point?

If they were clocks, and not some crude approximations to clocks, they
all by definition always count equal intervals of time.  If they stay
together, they will then always indicate the same time lapse.

> If you think it incorrect then
> please cite the evidence to the contrary, keeping in mind that a
> pendulum clock will be one of those on board,

A pendulum is not a clock.  Full stop.  Its behaviour sepends on its
environment.  This disqualifies it.

There is no need to read any further.  I will however leave Richard's
nonsense as is for the delectation of other readers.

> and that a electric motor
> driven clock will be another type. How will the change in
gravitational
> potential affect the pendulum, and how will the change in
> electromagnetic potential affect the motor driven clock? Let another
> clock be a vertically oscillating spring, how will the acceleration
> affect the frequency of oscillation? What type of clock can you
imagine
> that will not undergo physical changes when accelerated or when
> relocated to a different gravitational and/or electromagnetic

potential?

None of the mechanisms you quoted qualify for clock candidates.

> Go roll over on your back and piss on yourself like the well trained
and
> defeated dog that you are.

Franz Heymann

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Franz Heymann  
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 More options Oct 27 2002, 9:10 pm
Newsgroups: sci.physics, sci.math, sci.logic
From: "Franz Heymann" <Franz.Heym...@btopenworld.com>
Date: Sun, 27 Oct 2002 15:39:29 +0000 (UTC)
Local: Sun, Oct 27 2002 9:09 pm
Subject: Re: A small doubt about "clock paradox".

"V.Gopal" <vgopa...@rediffmail.com> wrote in message

news:38af3945.0210261954.4baec7a3@posting.google.com...
> "Franz Heymann" <Franz.Heym...@btopenworld.com> wrote in message

<news:apebim$lb8$7@helle.btinternet.com>...

Why are you so obseesd with time?
Why don't you also discuss the possibility that the length of your metre
stick changes, shrinking  continuously?

Franz Heymann


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Edward Green  
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 More options Oct 28 2002, 12:08 am
Newsgroups: sci.physics, sci.math, sci.logic
From: nullde...@aol.com (Edward Green)
Date: 27 Oct 2002 10:38:07 -0800
Local: Mon, Oct 28 2002 12:08 am
Subject: Re: A small doubt about "clock paradox".

me...@cars3.uchicago.edu wrote in message <news:TNzu9.73$O4.18932@news.uchicago.edu>...
> In article <2a0cceff.0210260740.1ff51...@posting.google.com>, nullde...@aol.com (Edward Green) writes:

> >I've been championing the idea recently "relative velocity" is a
> >physical object with certain transformation properties, whose
> >representation in a particular frame is v1 - v2, individual velocities
> >expressed in that frame.

> The name "relative velocity" is taken (as you well know).  Use
> "closing velocity" or "velocity of approach" for the above.  We've
> been over this before, as I'm sure you recall.

Yes.  Ok ... I wasn't hoping so much to redefine it as to extend the
domain of definition.  But you are right ... better call it something
else.  I kind of like "skedaddle" or "scramola".

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meron  
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 More options Oct 28 2002, 12:20 am
Newsgroups: sci.physics, sci.math, sci.logic
From: me...@cars3.uchicago.edu
Date: Sun, 27 Oct 2002 18:50:57 GMT
Local: Mon, Oct 28 2002 12:20 am
Subject: Re: A small doubt about "clock paradox".

I vote for "skedaddle", it sounds neat.

Mati Meron                      | "When you argue with a fool,
me...@cars.uchicago.edu         |  chances are he is doing just the same"


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Daryl McCullough  
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 More options Oct 28 2002, 12:52 am
Newsgroups: sci.logic
From: da...@cogentex.com (Daryl McCullough)
Date: 27 Oct 2002 11:02:18 -0800
Local: Mon, Oct 28 2002 12:32 am
Subject: Re: A small doubt about "clock paradox".
In article <xesn0p1xb2w....@eagle.cs.unc.edu>, George says...

>da...@cogentex.com (Daryl McCullough) writes:
> : Yes, but the difference is that in the three-clock case, no
> : clock is physically accelerated. That should put an end to
> : the idea that time dilation is something physical
> : that happens to clocks when they accelerate.

>No, it doesn't.

If none of the clocks accelerate, then how can the effect
be due to acceleration?

>You still haven't resolved the paradox.

I wasn't trying to resolve the paradox, only to comment
that it is *not* resolved by resorting to the physical
effects of acceleration on clocks.

The resolution is Minkowsky geometry. In Euclidean geometry,
a straight line is the shortest path connecting two points.
In Minkowsky geometry, an inertial path is the *longest*
path connecting two spacetime points. Rather than saying that
moving clocks tick slower, the modern way of thinking about
is that a clock accurately measures the "distance" (proper
separation) between timelike points in spacetime, and that
the geometry of spacetime implies that an inertial path
is the longest.

>If the situation is really symmetrical among the 3 clocks,

Well, it's not completely symmetrical, but we can make it
perfectly symmetrical between the "stay-at-home" clock and
the "travelling clock" by using 4 clocks:

    Clock A remains at rest in frame S.
    Clock B starts off at A, and moves away from A at velocity
    v (as measured in frame S). Let S' be the rest frame of B.
    Clock C starts off far from A, and moves towards A at velocity
    -v (as measured in frame S).
    Clock D starts off far from B and moves towards B at velocity v
    (as measured in frame S').

1. At t=0 (according to both A and B), clock B passes clock A.
2. At t=T1 (according to clock B), clock C passes clock B. Clock C
is set to the time shown on clock B.
3. At t=T1 (according to clock A), clock D passes clock A. Clock D
is set to the time shown on clock A.
4. At t=T2 (according to clock A), clock C reaches clock A. The
time shown on clock C is 2 T1, which is less than T2.
5. At t=T2 (according to clock B), clock D reaches clock B. The
time shown on clock D is 2 T1, which is less than T2.

>then you have paradox.

No, it's not a paradox. It's not logically impossible. And it's
not physically impossible.

>As Uncle Al originally numbered it,
>the sum of the times on the slips from clocks 2 and 3
>was less than the time on the slip from clock 1.
>But since all 3 clocks were started by their encounter
>with a 2nd clock and stopped by their encounter with a 3rd
>clock, his reasoning is going to lead to the conclusion
>that there can exist positive rational numbers x,y, and z such that
>x>y+z  AND y>x+z AND z>x+y.  This is obviously impossible.
>How do YOU D.MC. break the symmetry?

Let's label the events e1, e2, e3, e4 and e5 as shown in the list
above. e1 = clocks A and B pass. e2 = clocks C and B pass.
e3 = A and D pass. e4 = A and C pass. e5 = B and D pass.

 Let S_ij be the spacetime separation between event i and event j.
Then we have

    S_12 = T1
    S_13 = T1
    S_14 = T2
    S_15 = T2
    S_24 = T1
    S_35 = T1

The weird thing about Minkowsky geometry is that a straight
line is the longest distance between two points. That means
that

    S_12 + S_24 <= S_14

In Euclidean geometry, we have the reverse:

    D_12 + D_24 >= D_14

where D_ij is the distance between points i and j.

> : Exactly. In Special Relativity, time dilation is a feature of
> : spacetime, not a feature of clocks.

>Time dilation is self-contradictory bullshit until you can
>explain this paradox.

George, surely you don't believe that the consistency of a theory
of physics is affected by *my* ability to explain it. I don't have
that kind of power. Whether Minkowsky geometry is bullshit or not
is independent of whether I can convince you one way or the other.

For terminological purposes, to say something is "self-contradictory"
means that for some statement S, it can prove both S and not-S. The
theory of Special Relativity doesn't have such a statement.

--
Daryl McCullough
Ithaca, NY


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George Greene  
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 More options Oct 28 2002, 1:06 am
Newsgroups: sci.logic
From: George Greene <gree...@eagle.cs.unc.edu>
Date: 27 Oct 2002 14:36:38 -0500
Local: Mon, Oct 28 2002 1:06 am
Subject: Re: A small doubt about "clock paradox".
da...@cogentex.com (Daryl McCullough) writes:

 : For terminological purposes, to say something is "self-contradictory"
 : means that for some statement S, it can prove both S and not-S. The
 : theory of Special Relativity doesn't have such a statement.

Of course not, but we WEREN'T DEALING with Special Relativity:
we were dealing with approximate pronouncements about it by
Uncle Al and with popularist canards about it like "moving
clocks run slow".  And it absolutely IS self-contradictory to
say, as Uncle Al did, that
 : Nothing runs "slow" in any refernce frame.  When otherwise identical
 : clocks - one of which sustained a velocity relative to the other - are
 : brought together to compare, one is seen to have less elapsed time
 : than its twin due to its hyperbolic rotation through 4-space.

EACH of these clocks has sustained a velocity relative to
the other.  Therefore, if this is true, EACH of them would
have to show less elapsed time than the other.  THAT IS
self-contradictory.  Your point, if you have one, is that
therefore, THAT is NOT Special Relativity, NOR is it
Minkowski geometry, NEITHER of which has its consistency
in question.
--
 ---
  "It's difficult ... you need to be united to have any
   strength, but internal issues have to  be addressed."
 --- E. Ray Lewis, on  liberalism in America


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Phil Holman  
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 More options Oct 28 2002, 1:12 am
Newsgroups: sci.physics, sci.math, sci.logic
From: "Phil Holman" <phil...@earthlink.not>
Date: Sun, 27 Oct 2002 19:42:37 GMT
Local: Mon, Oct 28 2002 1:12 am
Subject: Re: A small doubt about "clock paradox".

"Edward Green" <nullde...@aol.com> wrote in message

news:2a0cceff.0210270710.b31151@posting.google.com...
> "Franz Heymann" <Franz.Heym...@btopenworld.com> wrote in message

<news:apebil$lb8$6@helle.btinternet.com>...

Uncle Al's entertainment rating is sky high but the way he handle's himself
when suspecting a mistake (even if it's his own) with our more learned
posters unfortunately lacks class.

On a more amusing note......

Roll up, roll up
Uncle Al's Debunk Clinic here
You post em, we'll roast em
Never let a thesis beat us.

Phil Holman


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Maleki  
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 More options Oct 28 2002, 1:21 am
Newsgroups: sci.physics, sci.math, sci.logic
From: Maleki <maleki...@hotmail.com>
Date: Sun, 27 Oct 2002 13:33:17 -0600
Local: Mon, Oct 28 2002 1:03 am
Subject: Re: A small doubt about "clock paradox".
On 25 Oct 2002 23:54:59 -0700, nullde...@aol.com
(Edward Green) wrote in
<2a0cceff.0210252254.5fddb...@posting.google.com> that:

>I merely pointed out from your ambiguous sentence that the maximum
>speed difference between two arbitrary velocities is 2c in any
>inertial frame.  That's c to the right of you and c to the left of
>you.  Get it?

Hahahah :-))

-------------------------
az kalamAte naghze irAni:

     khodAyA:
     ghanA'at, sabr, va tahammol rA az mellatam bAzgir
     va be man arzAnidAr.

                           "Ali Shari'ati"


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George Greene  
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 More options Oct 28 2002, 1:32 am
Newsgroups: sci.logic
From: George Greene <gree...@eagle.cs.unc.edu>
Date: 27 Oct 2002 15:02:32 -0500
Local: Mon, Oct 28 2002 1:32 am
Subject: Re: A small doubt about "clock paradox".

 : >da...@cogentex.com (Daryl McCullough) writes:
 : > : Yes, but the difference is that in the three-clock case, no
 : > : clock is physically accelerated. That should put an end to
 : > : the idea that time dilation is something physical
 : > : that happens to clocks when they accelerate.

I replied,
 : >No, it doesn't.
 :

da...@cogentex.com (Daryl McCullough) writes:

 : If none of the clocks accelerate, then how can the effect
 : be due to acceleration?

This is a stupid question, Daryl.
OF COURSE the clocks or frames accelerated at SOME time.
The fact that it was before you started paying attention to
the experiment doesn't mean it never happened.  Suppose,
since the metaphor is dilation, that you have 3 balloons
that have been blown up (dilated) to different sizes.
You walk into the room and see them sitting there, stationary,
at their 3 different unchanging sizes.  If I allege that
some difference between these balloons is due to their
differing sizes, are you really going to say, "since none
of the balloons has changed size, how can the effect be
due to change of size?"  Well, yes, you are, if you are
going to continuing being as STUPID as you were being
when you asked that question.  If moving clocks run slow,
and that degree of slowness changes as their speed changes,
then since change of speed IS acceleration, acceleration
is relevant to the effect.  That was logic, NOT opinion.

 : >You still haven't resolved the paradox.
 :
 : I wasn't trying to resolve the paradox, only to comment
 : that it is *not* resolved by resorting to the physical
 : effects of acceleration on clocks.

You utterly fail.
The original twin paradox proves that.
In that case, appealing to acceleration DOES resolve
the paradox.  The clock that got acclerated is the one
that runs slower.

 : The resolution is Minkowsky geometry. In Euclidean geometry,
 : a straight line is the shortest path connecting two points.
 : In Minkowsky geometry, an inertial path is the *longest*
 : path connecting two spacetime points. Rather than saying that
 : moving clocks tick slower,

You DON'T GET TO HAVE a "rather than"!  Moving clocks DO tick
slower!  At BEST, M.G. is going to be an EXPLANATION of
"why" that seems to be the case, NOT an ALTERNATIVE to it.

 : the modern way of thinking about
 : is that a clock accurately measures the "distance" (proper
 : separation) between timelike points in spacetime,
 : and that the geometry of spacetime implies that an inertial path
 : is the longest.

None of this is the issue.  The issue IS, under this
view, can the Twin Paradox ARISE IN THE FIRST PLACE?
Is there any problematic symmetry that SEEMS to arise,
SEEMS thereby to provoke paradox, and SEEMS to need
breaking in order to rescue us?  If so, then you can
tell us how M.G. breaks the symmetry.  Otherwise you
are just irrelevant.

 : >If the situation is really symmetrical among the 3 clocks,
 :
 : Well, it's not completely symmetrical, but we can make it
 : perfectly symmetrical between the "stay-at-home" clock and
 : the "travelling clock"

Please.  In Al's experiment, THERE IS NO distinguished
"traveling clock"; all 3 clocks are traveling and are
representing inertial frames, with constant velocities
relative to each other, and we just happened to pick, as
OUR frame, the clock that was on longest.

 : by using 4 clocks:

Jeezus, Occam's razor.
You are obligated to draw a picture.
I will analyze in the next reply.


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Franz Heymann  
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 More options Oct 28 2002, 1:34 am
Newsgroups: sci.physics, sci.math, sci.logic
From: "Franz Heymann" <Franz.Heym...@btopenworld.com>
Date: Sun, 27 Oct 2002 20:03:47 +0000 (UTC)
Local: Mon, Oct 28 2002 1:33 am
Subject: Re: A small doubt about "clock paradox".

"Edward Green" <nullde...@aol.com> wrote in message

news:2a0cceff.0210270710.b31151@posting.google.com...
> "Franz Heymann" <Franz.Heym...@btopenworld.com> wrote in message

<news:apebil$lb8$6@helle.btinternet.com>...

The phrase "relative velocity" has been bagged for another purpose, so
you should dream up another name.
On second thoughts, don't do that. I think there is already a name for
what you are speaking about.  Is it not "closure velocity"?

[...]

Franz Heymann


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Franz Heymann  
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 More options Oct 28 2002, 1:34 am
Newsgroups: sci.physics, sci.math, sci.logic
From: "Franz Heymann" <Franz.Heym...@btopenworld.com>
Date: Sun, 27 Oct 2002 20:03:44 +0000 (UTC)
Local: Mon, Oct 28 2002 1:33 am
Subject: Re: A small doubt about "clock paradox".

"Franz Heymann" <Franz.Heym...@btopenworld.com> wrote in message

news:aph1be$1fq$4@sparta.btinternet.com...

I forgot to recommend that you turn upside down the next pendulun you
encounter.  Perhaps that will teach you something about perfectly
repetitive motion.

Franz Heymann


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Franz Heymann  
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 More options Oct 28 2002, 1:34 am
Newsgroups: sci.physics, sci.math, sci.logic
From: "Franz Heymann" <Franz.Heym...@btopenworld.com>
Date: Sun, 27 Oct 2002 20:03:46 +0000 (UTC)
Local: Mon, Oct 28 2002 1:33 am
Subject: Re: A small doubt about "clock paradox".

"Richard" <no_mail_no_s...@yahoo.com> wrote in message

news:3DBC05C9.47AEC833@yahoo.com...

Balls.  The order of events in the Universe is quite categorically not
frame invariant.  You should bone up on SR.

You seem to be under the impression that a clock can be separated from
its frame.

That would appear to have been a string of erroneous assertions.

> 2) It needs to be amended to read ".....counting the cycles of a
> repetitive process [in a virtually closed system].

I don't see the necessity for the addition.  I see nothing wrong with
reading my wristwatch at the same time as radiating heat into the rest
of the universe

> Without this amendment the repetitive process ceases to be repetitive
> wrt inertial frames. And although no process is precisely repetitive,
> repetitiveness cannot even be approached if we allow systems that are
> not in fairly constant ambient surroundings. Inertial frames are
> introduced here because time is arbitrarily regarded as linear wrt
> inertial motion (per the arbitrary definition F=ma).

Huh?

>  Accelerated clocks
> would likewise serve equally well as standards so long as the correct
> mathematical transformation to linear time were known, which would in
> turn require taking into account variables that cannot be known
without
> reference to the linear passage of time, thus making the process
rather
> redundant right from the start, which is why it was omitted from the
> original considerations.

Franz Heymann

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Maleki  
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 More options Oct 28 2002, 1:47 am
Newsgroups: sci.physics, sci.math, sci.logic
From: Maleki <maleki...@hotmail.com>
Date: Sun, 27 Oct 2002 13:58:49 -0600
Local: Mon, Oct 28 2002 1:28 am
Subject: Re: A small doubt about "clock paradox".
On Sat, 26 Oct 2002 15:27:28 GMT, Uncle Al
<Uncle...@hate.spam.net> wrote in
<3DBAB45D.B2D97...@hate.spam.net> that:

> Paired test masses can be created
>that are 99.9% divergent vs. overall rest mass.

What do you mean by "divergent"?

-------------------------
az kalamAte naghze irAni:

     khodAyA:
     roshde elmi va aghliye marA az fazilate "ta'assob"
     va "ehsAs" va "eshrAgh" mahrum nasAz.

                           "Ali Shari'ati"


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George Greene  
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 More options Oct 28 2002, 1:53 am
Newsgroups: sci.logic
From: George Greene <gree...@eagle.cs.unc.edu>
Date: 27 Oct 2002 15:23:06 -0500
Local: Mon, Oct 28 2002 1:53 am
Subject: Re: A small doubt about "clock paradox".
Daryl has 4 clocks.

 :     Clock A remains at rest in frame S.

Then frame S is mis-named.
It should be called frame A.

 :     Clock B starts off at A, and moves away from A at velocity
 :     v (as measured in frame S).

Again, Al said it better.  We don't know the initial history
of the universe; we don't know (or care) when or how Clock B
came into being.  What we do know is that as long as we have
been caring, Clock B has ALWAYS been moving at velocity v,
TOWARD A, in this frame.  At some point (frame/clock A will call it
time 0), Clock B will encounter/collide-with/become-co-located-with
Clock A, and thereafter continue moving, STILL at velocity v,
(which is also mis-named; it should probably be velocity b),
AWAY from A.

 :  Let S' be the rest frame of B.

This frame is mis-named; S' should be named frame B.

It also bears stressing that in this scenario, spacetime
has *1* dimension of space, not 3.  All the paths of all the
clocks might as well be collinear.

 :     Clock C starts off far from A, and moves towards A at velocity
 :     -v (as measured in frame S).

Clocks A, B, and C are currently in the same relation to each
other as clocks 1,2, and 3 were in Al's original experiment.
Daryl is obligated to draw a picture, because what he is about
to say about the location of the 4th clock is ambiguous.

 :     Clock D starts off far from B and moves towards B at velocity v
 :     (as measured in frame S').

"Far from B" is exactly equivalent to "Far from A" since the whole
scenario begins with B and A being co-located.  It is going to MATTER
A LOT whether D's far-from-A is farther or not-as-far as C's.
It also matters whether D is "behind" (on the A-side) or
in front of (on the C-side) of B.
That is why you need to draw a picture.


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V.Gopal  
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 More options Oct 28 2002, 6:52 am
Newsgroups: sci.physics, sci.math, sci.logic
From: vgopa...@rediffmail.com (V.Gopal)
Date: 27 Oct 2002 17:22:34 -0800
Local: Mon, Oct 28 2002 6:52 am
Subject: Re: A small doubt about "clock paradox".

Length does shrink or elongate during acceleration. 'Length' of metre
stick does shrink or elongate depending on the environment. No
experiment within the four walls of a laboratory can prove that
'dimension' of unit of time can be changed by changing the
environment. If both length and time are assigned similar properties
then mass includes the clock that 'runs slow'. We have every reason to
believe that the problem of calculating the internal change is shifted
to the clock. According to Newton's law, a force of constant magnitude
'works' with continuously increasing power. Has this possibility been
proved in a laboratory?

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James Hunter  
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 More options Oct 28 2002, 7:10 am
Newsgroups: sci.physics, sci.math, sci.logic
From: "James Hunter" <jim.hun...@jhuapl.edu>
Date: Sun, 27 Oct 2002 20:29:42 -0500
Local: Mon, Oct 28 2002 6:59 am
Subject: Re: A small doubt about "clock paradox".

"V.Gopal" <vgopa...@rediffmail.com> wrote in message

news:38af3945.0210271722.14ddbb38@posting.google.com...
> "Franz Heymann" <Franz.Heym...@btopenworld.com> wrote in message

<news:aph1bg$1fq$6@sparta.btinternet.com>...

> > "V.Gopal" <vgopa...@rediffmail.com> wrote in message

> > Franz Heymann
> Length does shrink or elongate during acceleration. 'Length' of metre
> stick does shrink or elongate depending on the environment. No
> experiment within the four walls of a laboratory can prove that
> 'dimension' of unit of time can be changed by changing the
> environment. If both length and time are assigned similar properties
> then mass includes the clock that 'runs slow'. We have every reason to
> believe that the problem of calculating the internal change is shifted
> to the clock. According to Newton's law, a force of constant magnitude
> 'works' with continuously increasing power. Has this possibility been
> proved in a laboratory?

    If the thin plate skulls of hallucinating neo-caveman chemists can prove
    that time cannot be changed, then four walls easily prove that it can be
changed.

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Richard  
View profile  
 More options Oct 28 2002, 9:46 am
Newsgroups: sci.physics, sci.math, sci.logic
From: Richard <no_mail_no_s...@yahoo.com>
Date: Sun, 27 Oct 2002 22:17:36 -0600
Local: Mon, Oct 28 2002 9:47 am
Subject: Re: A small doubt about "clock paradox".

Let event1 be the ejection of an electron from a negative test charge,
and let event2 be the absorption of that electron by a positive test
charge. From what frame of reference is the electron ejected from the
positive test charge and absorbed by the negative test charge, and what
law governs this interaction? Is causation to be sidelined, and if so
then how is the event still predictable? Do you see the inherent
contradiction here Franz?  You really haven't thought this out very
well, have you? The observed time of an event is not the actual time of
occurrence of that event, and one of these days you'll understand that
this is all that the Lorentz transform says. It assigns infinite
propagational velocity to light, and assigns time dilation and length
contraction as the causes of propagational delay (required because light
is no longer something that propagates, but is rather regarded as an
instantaneous connection between charges). It is a mathematical twist
that was completely out of order, uncalled for, and most especially just
plain stooopid.

> You seem to be under the impression that a clock can be separated from
> its frame.

I've thrown an alarm clock or two, a clear example of separation of a
clock and "my" frame. Had it been nailed to the table, then it would
have been me that accelerated, but I would have still used the clock as
a reference timepiece to measure my velocity toward the opposite wall. A
standard needs to remain in a constant state in order to remain a valid
standard, unless any physical effects on it are predictable to the point
of allowing a precise conversion of its measured readings to proper time
(the standard). A particular clock must be adopted as a standard for use
by observers in all frames when performing a series of directly related
calculations, just as a particular dictionary must be chosen as a
standard reference in order to formulate intelligent conversation. Terms
have to be well defined.

You know what they say about opinions. You know the premise is correct,
physical interactions occur entirely independently of how they are
perceived. Changing frames of reference will not change the course of
events, only the perception of them.

> > 2) It needs to be amended to read ".....counting the cycles of a
> > repetitive process [in a virtually closed system].

> I don't see the necessity for the addition.  I see nothing wrong with
> reading my wristwatch at the same time as radiating heat into the rest
> of the universe

As long as you don't change in temperature this isn't a problem, but
when the clock warms up it ain't gonna tick the same anymore Franz.

> > Without this amendment the repetitive process ceases to be repetitive
> > wrt inertial frames. And although no process is precisely repetitive,
> > repetitiveness cannot even be approached if we allow systems that are
> > not in fairly constant ambient surroundings. Inertial frames are
> > introduced here because time is arbitrarily regarded as linear wrt
> > inertial motion (per the arbitrary definition F=ma).

> Huh?

Time is linear wrt the law of inertia as it is defined. If we define
time as nonlinear wrt a uniformly moving body then it will then be
accelerating "on paper". The choice is arbitrary, I'm surprised that you
don't understand that scales can be arbitrarily manipulated. As long as
all other scales are altered to reflect the change in one, the logical
system remains consistent. You really don't get this? LOL:-)

> >  Accelerated clocks
> > would likewise serve equally well as standards so long as the correct
> > mathematical transformation to linear time were known, which would in
> > turn require taking into account variables that cannot be known
> without
> > reference to the linear passage of time, thus making the process
> rather
> > redundant right from the start, which is why it was omitted from the
> > original considerations.

> Franz Heymann

Richard

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Daryl McCullough  
View profile  
 More options Oct 28 2002, 10:22 am
Newsgroups: sci.logic
From: da...@cogentex.com (Daryl McCullough)
Date: 27 Oct 2002 20:32:14 -0800
Local: Mon, Oct 28 2002 10:02 am
Subject: Re: A small doubt about "clock paradox".
George says...

>Daryl has 4 clocks.
>...That is why you need to draw a picture.

Okay. From the point of view of frame A (as you call it),
A has velocity 0,
B has velocity .87c (direction = to the right)
C has velocity -.87c (direction = to the left),
D has velocity .99c (direction = to the right)

We have the following snapshots (distances in light-seconds,
times in seconds). Beside each clock, we show the time on
that clock. We use "?" to indicate a clock that has not been
set. To the far left of each clock, we show the position
of that clock.

------------------------------------------------------------------  
                      A(t=0)                               x=0
t=0                   B(t=0)                               x=0
                              C(t=?)                       x=3.46
                    D(t=?)                                 x=-.99
------------------------------------------------------------------
t=1                   A(t=1)                               x=0
                        B(t=.5)                            x=.87
                            C(t=?)                         x=2.59
                      D(t=1)                               x=0
------------------------------------------------------------------
t=2                   A(t=2)                               x=0
                          B(t=1)                           x=1.73
                          C(t=1)                           x=1.73
                        D(t=1.14)                         x=.99
------------------------------------------------------------------
t=4                   A(t=4)                               x=0
                              B(t=2)                       x=3.46
                      C(t=2)                               x=0
                            D(t=1.43)                      x=1.98
------------------------------------------------------------------
t=8                   A(t=8)                               x=0
                                      B(t=4)               x=6.92
      C(t=4)                                               x=-3.46
                                      D(t=2)               x=6.92

So, according to frame A: clock B ticks at 1/2 the rate of clock A.
Clock C ticks also ticks at 1/2 the rate. Clock D ticks at 1/7 the
rate of clock A.

From the point of view of frame B,
A has velocity -.866c,
B has velocity 0
C has velocity -.990c
D has velocity .866c

We have the following snapshots:

------------------------------------------------------------------  
                      A(t=0)                               x=0
t=0                   B(t=0)                               x=0
                         C(t=?)                            x=.99
            D(t=?)                                         x=-3.46
------------------------------------------------------------------
t=1                 A(t=.5)                                x=-.87    
                      B(t=1)                               x=0
                      C(t=1)                               x=0
               D(t=?)                                      x=-2.59
------------------------------------------------------------------
t=2               A(t=1)                                   x=-1.73
                      B(t=1)                               x=0
                    C(t=1.14)                              x=-.99
                  D(t=1)                                   x=-1.73
------------------------------------------------------------------
t=4            A(t=2)                                      x=-3.46
                      B(t=4)                               x=0
                  C(t=1.43)                                x=-2.97
                      D(t=2)                               x=0
------------------------------------------------------------------
t=8    A(t=4)                                              x=-6.92
                      B(t=8)                               x=0
       C(t=2)                                              x=-6.92
                              D(t=4)                       x=3.46

According to frame B,
clock A runs at 1/2 the rate of clock B,
clock D runs at 1/2 the rate of clock B,
clock C runs at 1/7 the rate of clock B.

Distant events thus have different orders in frame A and frame B.
Clocks have different rates as viewed in frame A and frame B.
But the events as seen by frame B are consistent, and the
events as seen by frame A are consistent. And the reports of
nearby events are the same:

     A shows t=1 when D shows t=1
     A shows t=4 when C shows t=2
     B shows t=1 when C shows t=1
     B shows t=4 when D shows t=2

--
Daryl McCullough
Ithaca, NY


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Daryl McCullough  
View profile  
 More options Oct 28 2002, 10:35 am
Newsgroups: sci.logic
From: da...@cogentex.com (Daryl McCullough)
Date: 27 Oct 2002 20:49:45 -0800
Local: Mon, Oct 28 2002 10:19 am
Subject: Re: A small doubt about "clock paradox".
George says...

No. Clock A has always been at rest. Clock B has
always been travelling at speed .866c. Clock C has
always been travelling at speed .866c in the opposite direction.

>The fact that it was before you started paying attention to
>the experiment doesn't mean it never happened.

I set up the conditions, and my conditions say that none of
the three clocks has ever accelerated. If no clock has accelerated,
it follows that time dilation is not due to acceleration. I
don't know how you can argue that.

> : The resolution is Minkowsky geometry. In Euclidean geometry,
> : a straight line is the shortest path connecting two points.
> : In Minkowsky geometry, an inertial path is the *longest*
> : path connecting two spacetime points. Rather than saying that
> : moving clocks tick slower,

>You DON'T GET TO HAVE a "rather than"!  Moving clocks DO tick
>slower!

No, they don't.

> : the modern way of thinking about
> : is that a clock accurately measures the "distance" (proper
> : separation) between timelike points in spacetime,
> : and that the geometry of spacetime implies that an inertial path
> : is the longest.

>None of this is the issue.  The issue IS, under this
>view, can the Twin Paradox ARISE IN THE FIRST PLACE?
>Is there any problematic symmetry that SEEMS to arise,
>SEEMS thereby to provoke paradox, and SEEMS to need
>breaking in order to rescue us?  If so, then you can
>tell us how M.G. breaks the symmetry.  Otherwise you
>are just irrelevant.

I *am* irrelevant. I'm just some guy who occasionally posts
to usenet. So are you.

But I already told you how Minkowsky geometry breaks the
symmetry. Minkowsky geometry says that

     T(A,B) + T(B,C) <= T(A,C)

where T(A,B) is the invariant separation between spacetime
points A and B.

--
Daryl McCullough
Ithaca, NY


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Franz Heymann  
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 More options Oct 28 2002, 2:21 pm
Newsgroups: sci.physics, sci.math, sci.logic
From: "Franz Heymann" <Franz.Heym...@btopenworld.com>
Date: Mon, 28 Oct 2002 08:50:15 +0000 (UTC)
Local: Mon, Oct 28 2002 2:20 pm
Subject: Re: A small doubt about "clock paradox".

"Richard" <no_mail_no_s...@yahoo.com> wrote in message

news:3DBCBA60.536E40DF@yahoo.com...

I asked you to bone up on SR before answering.  The above nonsense shows
that you have not.

> > You seem to be under the impression that a clock can be separated
from
> > its frame.

> I've thrown an alarm clock or two, a clear example of separation of a
> clock and "my" frame.

Please read what I said.
The rest will obviously not be worth reading, so I will not.

Franz Heymann


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