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Groups > sci.physics.relativity > #586164
| From | The Starmaker <starmaker@ix.netcom.com> |
|---|---|
| Newsgroups | sci.physics.relativity |
| Subject | Re: Do you feel the pass of time? Really? Think again. |
| Date | 2022-05-30 15:40 -0700 |
| Organization | The Starmaker Organization |
| Message-ID | <629547CD.14D0@ix.netcom.com> (permalink) |
| References | (19 earlier) <7566b359-b87a-4924-9904-e723c442ae15n@googlegroups.com> <62950ABF.7DB4@ix.netcom.com> <59b50b1b-9731-40f7-8405-6077e17f6b6dn@googlegroups.com> <629531A6.39EC@ix.netcom.com> <4793e201-09bd-4e68-95f1-2b5cd6c02e70n@googlegroups.com> |
Paparios wrote:
>
> El lunes, 30 de mayo de 2022 a las 17:05:35 UTC-4, The Starmaker escribió:
> > Ed Lake wrote:
> > >
> > > On Monday, May 30, 2022 at 1:19:46 PM UTC-5, The Starmaker wrote:
> > > > Ed Lake wrote:
> > > >
> > > > > But, I'm also tired of arguing with someone who misinterprets everything and
> > > > > refuses to look at facts and evidence.
> > > > But you point to websites that the
> > > > the web page owner said: "...the opinions expressed here are my own..."
> > > > opinion: not necessarily based on fact or knowledge.
> > > > Don't you bother to check your facts and evidence???
> > >
> > > I'd like to check YOUR "facts." Which websites are you talking about?
> > >
> > > Ed
> > What do you mean which websites? There is only ONE website!
> >
> > You wrote:
> >
> > > So what? That web page says, "In this case the Earth-bound twin (EBT) finds that it takes
> > > the traveling twin (TT) five years to reach the destination and five years to return for
> > > a total of ten years. During this time the TT's clocks run slow by a factor of 1/γ = 4/5
> > > so that the TT ages by eight years, four years on each leg of the journey, and is,
> > > therefore, two years younger at the reunion."
> > That quote only points to ONE website: https://www.cpp.edu/~ajm/materials/twinparadox.html
> >
> >
> > and at the very bottom the disclaimer reads: "Nevertheless, the opinions expressed here are my own.."
> >
> >
> > and the definition of the word opinion is: not necessarily based on fact or knowledge.
> > --
>
> Of course you lie and present not the complete disclaimer (related to the university which hosts the document):
>
> "The space for this page is provided by Cal Poly Pomona and is subject to its policies. Nevertheless, the opinions expressed here are my own and do not necessarily represent official policy of the University. I take full responsibility for the information presented and will appreciate being informed of errors or inaccuracies".
>
> This is quite different from your nonsensical stuff
another 'detaied oriented' engineer! ...
I forgot the copyright notice!
©2001 by A. John Mallinckrodt
ajm at cpp.edu
Hell, why don't I just post for these 'detaied oriented' mentality
beavers the whole website!!!!
A. John Mallinckrodt Professor Emeritus of Physics, Cal Poly Pomona
The so-called "Twin Paradox"
An explanation using spacetime diagrams of how the so-called "twin
paradox" of special relativity is resolved.
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Time dilation: The basis for the so-called "twin paradox"
Early in the study of special relativity students learn about the
phenomenon of time dilation, i.e., that "moving clocks run slow." Those
who have properly appreciated the fact that all motion is relative and
who have properly appreciated that clocks measure the passage of
physical (including biological) time, ought necessarily to experience
some mental discomfort at this result. After all when two observers pass
each other, the prediction is that both will find the other's clocks to
run slower than their own. This might well seem to be impossible on its
face and, therefore, to invalidate the entire theory. Nevertheless, a
detailed analysis that properly takes into account two other equally
peculiar relativistic effects—the Lorentz contraction and the relativity
of simultaneity—shows that one can build a perfectly sensible
relativistic world in which all observers agree on the only things that
they must agree on including the details of local events (e.g., what
everybody's watches read in a group picture) and the temporal order of
causal sequences (e.g., which came first, the lightning or the thunder?)
The statement of the so-called "twin paradox"
The confusion caused by the phenomenon of time dilation has long been
encapsulated in the so-called "twin paradox" stated as follows*:
One of a pair of twins (the "traveling twin") travels to and returns
from a very distant destination at a speed approaching that of light the
other (the "Earth-bound twin") stays home. Since both twins observe the
other twin to be moving, both find that the other is aging less quickly.
Thus, upon their reunion, both twins will expect—and find!—the other
twin to be younger. This result violates the requirements of a rational
world and, therefore, special relativity is wrong.
* Because much confusion persists to this day about the implications of
the so-called "twin paradox," I hasten to emphasize unequivocally that
the so-called "twin paradox" is not a paradox, that there is no
controversy about its resolution (as we will see), and that it does not
in any way cast suspicion on—let alone invalidate—the theory of special
relativity.
Why there is no paradox
The so-called "twin paradox" is easily resolved by noting that there is
a physically meaningful disinction between the experiences of the two
twins during the trip. The Earth-bound twin remains in a single constant
velocity reference frame the entire time while the traveling twin must
accelerate to turn around and come home. The acceleration causes the
traveling twin to change from one constant velocity reference frame to
another and produces effects that can be measured locally by the
traveling twin in the form of inertial forces that can knock things
over, compress springs, and generally endow objects with weight. As a
result of the fact that their experiences are different, there is no a
priori reason for them to come to the same conclusion.
NB: The "same conclusion" I refer to here—the one they do not come
to!—is the one referred to in the penultimate sentence of the statement
of the so-called "twin paradox" above, that the other twin will be found
to be younger. Indeed, it would be intolerable for special relativity or
any other physical theory to predict that utterly incomprehensible
finding. On the other hand, because both twins, in fact, must agree on
what they find, we demand that any successful theory should be able to
account for that finding from either point of view.
As it turns out, the result is that the traveling twin is younger upon
return than the Earth-bound twin. This is readily understood from the
point of view of the Earth-bound twin who remains at all time in a
single, constant velocity reference frame with respect to which the
traveling twin's clocks are always (except for one instant during the
turnaround) running slow. But how do we understand that conclusion from
the point of view of the traveling twin?
Spacetime diagrams
One of the most illuminating ways of understanding the resolution of the
so-called "twin paradox" is by analyzing carefully drawn, detailed
spacetime diagrams for specific choices of trip distance and velocity. I
have done so below for a trip of three lightyears undertaken at a speed
of 3/5 c (giving a relativistic factor ? = 5/4) in both directions and
with a "turnaround time" of negligible duration. (The approximation of
negligible turnaround time may very well lead to anatomically
unrealistic "g forces" (!) and can be relaxed at the expense of
additional computational complexity, but it makes no qualititative
difference in the result.)
In this case the Earth-bound twin (EBT) finds that it takes the
traveling twin (TT) five years to reach the destination and five years
to return for a total of ten years. During this time the TT's clocks run
slow by a factor of 1/? = 4/5 so that the TT ages by eight years, four
years on each leg of the journey, and is, therefore, two years younger
at the reunion.
The view from the reference frame of the Earth
The left panel of the figure below (which you can click on to open a
larger version in a new window), shows the worldlines of the EBT and the
TT in the reference frame of Earth. Note that the TT reaches the
destination at a distance of three lightyears after an elapsed time of
five years in this frame and that the TT has aged only four years at
that point. Note also that the scale of the x and t axes are such that
light travels along lines at a 45 degree angle, i.e., 1 year per light
year, and that the TT's worldlines have a larger slope (representing a
lower speed) of 5/3 years per light year.
Because the figure is drawn from the frame of reference of Earth,
horizontal lines represent collections of events that occur at the same
time, i.e., "lines of simultaneity" for the EBT. The figure also,
however, includes a few lines of simultaneity in the reference frame of
the TT as shown in gray. Because of the relativity of simultaneity,
these lines are tilted and run from lower left to upper right during the
outbound leg and from lower right to upper left during the inbound leg.
In both cases the slope is the inverse of that of the TT's worldline,
3/5 years per light year. For instance, note that one of these lines
indicates that at the moment the TT sends the third yearly signal, the
TT would say that the EBT's clock reads 2.4 years as should be expected
since the TT says the EBT's clock is "moving" and, therefore, running
slow. Note finally that there are two lines of simultaneity linking the
turnaround point, one for the outbound leg and one for the inbound leg.
They indicate that the EBT's instant of simultaneity in the TT's frame
jumps quickly from 3.2 years to 6.8 years during the turnaround as the
TT moves from one reference frame to another.
Both the EBT and the TT send light signals to each other at yearly
intervals as shown by the red and blue lines respectively and each
transmission is marked with the number of the year at which it was sent.
Note that the TT receives only the first two signals from the EBT on the
outbound leg and recieves all eight remaining signals on the inbound leg
with the final, tenth, signal received at the moment of the reunion.
Note also that the EBT receives the last of the four outbound signals
(including the fourth at the turnaround point) at year eight and
receives the four inbound signals during only the last two years.
Thus, we see that the EBT receives signals at the rate of one every two
years for the first eight years and then at a rate of two per year for
the final two years. This amounts to a total of (1/2)*8 + (2)*2 = 8
signals received from the TT. On the other hand the TT receives signals
also at the rate of one every two years for only the first four years
and then at a rate of two per year for the final four years. This
amounts to a total of (1/2)*4 + (2)*4 = 10 signals received from the
EBT.
It is well worth noting the fact that both twins agree that they receive
signals at a rate of 1/2 per year (low frequency) when those signals
reflect relative motion away from each other and both twins also agree
that they receive signals at a rate of 2 per year (high frequency) when
those signals reflect relative motion toward each from each other. The
difference is that, for the TT, the low and high frequency signals
occupy equal portions of the trip while, for the EBT, the low frequency
signals are observed during 80% of the trip.
The view from the reference frame of the outbound traveler
The right panel of the figure, shows the worldlines of the EBT and the
TT in the outbound reference frame. Note that, in this reference frame,
the reunion takes place 12.5 years after the departure in keeping with
the fact that the EBT's clocks run slow the entire time. The TT,
however, leaves this reference frame at the turnaraound point four years
into the trip when the EBT's clock reads 3.2 years as previously noted.
Note also that the EBT is 2.4 lightyears away at this time, the largest
separation of the trip in this frame, properly reflecting the Lorentz
contraction of the 3 lightyear distance observed in the reference frame
of Earth.
On the inbound leg, the TT moves at a speed of -15/17 c as obtained from
the relativistic addition of the speeds -3/5 c and -3/5 c. During this
time the TT's clocks run slow by a factor of 1/? = 17/8, which is
reflected in the fact that it takes just over two years for the TT's
clock to advance each additional year. The worldlines for the light
signals are again shown along with the lines of simultaneity for the TT
and they confirm every feature previously noted in the spacetime diagram
for the reference frame of Earth.
Relationship to the relativistic Doppler effect and another way to
predict the amount of differential aging
It is most interesting to note that, no matter what speed is used for
the outbound and inbound legs, the TT will receive signals at a rate of
fout < fo (the transmission frequency) for half the trip and at a rate
of fin = 1/fout > fo for the other half. Thus, the average frequency is
(fout+fin)/2 which is readily shown to be greater than fo. This insures
that the TT will receive more signals during the trip then he sends and
will, therefore, expect to find the EBT to be older at the reunion, in
perfect harmony with what the EBT expects to find.
Indeed, one can use the relativistic Doppler formula fout = fo
[(1-v/c)/(1+v/c)]1/2 directly to predict the relative age differential.
For instance, at a speed of 12/13 c, fout = fo [(1-v/c)/(1+v/c)]1/2 =
(1/5)fo. Accordingly, the average frequency received by the TT is
(1/5+5)fo/2 = (13/5)fo implying (correctly) that the EBT will have aged
13/5 as much as the TT.
©2001 by A. John Mallinckrodt
ajm at cpp.edu
http://www.cpp.edu/~ajm
The space for this page is provided by Cal Poly Pomona and is subject to
its policies. Nevertheless, the opinions expressed here are my own and
do not necessarily represent official policy of the University. I take
full responsibility for the information presented and will appreciate
being informed of errors or inaccuracies.
--
The Starmaker -- To question the unquestionable, ask the unaskable,
to think the unthinkable, mention the unmentionable, say the unsayable,
and challenge
the unchallengeable.
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Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-26 21:17 -0700
Re: Do you feel the pass of time? Really? Think again. "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2022-05-26 21:19 -0700
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Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-28 13:18 -0700
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Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-29 13:09 -0700
Re: Do you feel the pass of time? Really? Think again. Paparios <mrios@ing.puc.cl> - 2022-05-29 16:17 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-30 09:00 -0700
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Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-30 09:51 -0700
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Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-31 12:52 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-31 13:13 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-31 14:08 -0700
Re: Do you feel the pass of time? Really? Think again. Paparios <mrios@ing.puc.cl> - 2022-05-31 14:31 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-29 12:18 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-28 23:45 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-29 11:42 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-29 12:51 -0700
Re: Do you feel the pass of time? Really? Think again. "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2022-05-29 13:05 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-29 13:22 -0700
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Re: Do you feel the pass of time? Really? Think again. Aldo <aldo.mayme.11084@cap.edu.mx> - 2022-05-29 21:50 -0700
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Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-28 12:52 -0700
Re: Do you feel the pass of time? Really? Think again. Paul Alsing <pnalsing@gmail.com> - 2022-05-28 15:02 -0700
Re: Do you feel the pass of time? Really? Think again. "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2022-05-28 15:00 -0700
Re: Do you feel the pass of time? Really? Think again. Stan Fultoni <fultonistan@gmail.com> - 2022-05-28 11:14 -0700
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Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-28 14:10 -0700
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Re: Do you feel the pass of time? Really? Think again. Stan Fultoni <fultonistan@gmail.com> - 2022-05-29 14:44 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-30 09:15 -0700
Re: Do you feel the pass of time? Really? Think again. Stan Fultoni <fultonistan@gmail.com> - 2022-05-30 10:01 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-30 13:17 -0700
Re: Do you feel the pass of time? Really? Think again. Stan Fultoni <fultonistan@gmail.com> - 2022-05-30 13:58 -0700
Re: Do you feel the pass of time? Really? Think again. Stan Fultoni <fultonistan@gmail.com> - 2022-05-31 00:47 -0700
Re: Do you feel the pass of time? Really? Think again. rotchm <rotchm@gmail.com> - 2022-05-29 17:10 -0700
Re: Do you feel the pass of time? Really? Think again. Aldo <aldo.mayme.11084@cap.edu.mx> - 2022-05-29 20:03 -0700
Re: Do you feel the pass of time? Really? Think again. Maciej Wozniak <maluwozniak@gmail.com> - 2022-05-29 21:16 -0700
Re: Do you feel the pass of time? Really? Think again. Aldo <aldo.mayme.11084@cap.edu.mx> - 2022-05-29 21:43 -0700
Re: Do you feel the pass of time? Really? Think again. Maciej Wozniak <maluwozniak@gmail.com> - 2022-05-30 02:29 -0700
Re: Do you feel the pass of time? Really? Think again. RichD <r_delaney2001@yahoo.com> - 2022-05-31 12:06 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-31 13:03 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-31 13:43 -0700
Re: Do you feel the pass of time? Really? Think again. Python <python@python.invalid> - 2022-05-31 23:10 +0200
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-02 12:10 -0700
Re: Do you feel the pass of time? Really? Think again. Tom Roberts <tjroberts137@sbcglobal.net> - 2022-06-02 15:35 -0500
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-02 15:55 -0700
Re: Do you feel the pass of time? Really? Think again. Tom Roberts <tjroberts137@sbcglobal.net> - 2022-06-02 21:03 -0500
Re: Do you feel the pass of time? Really? Think again. patdolan <patdolan@comcast.net> - 2022-06-02 19:07 -0700
Re: Do you feel the pass of time? Really? Think again. rotchm <rotchm@gmail.com> - 2022-06-03 06:04 -0700
Re: Do you feel the pass of time? Really? Think again. Maciej Wozniak <maluwozniak@gmail.com> - 2022-06-03 07:02 -0700
Re: Do you feel the pass of time? Really? Think again. Tom Roberts <tjroberts137@sbcglobal.net> - 2022-06-03 10:05 -0500
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-06-03 10:50 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-02 19:47 -0700
Re: Do you feel the pass of time? Really? Think again. Tom Roberts <tjroberts137@sbcglobal.net> - 2022-06-03 10:43 -0500
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-03 08:50 -0700
Re: Do you feel the pass of time? Really? Think again. Maciej Wozniak <maluwozniak@gmail.com> - 2022-06-02 22:43 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-03 07:08 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-03 08:44 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-03 09:06 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-03 11:40 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-03 12:39 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-03 14:37 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-04 07:30 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-04 07:53 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-04 08:54 -0700
Re: Do you feel the pass of time? Really? Think again. Paparios <mrios@ing.puc.cl> - 2022-06-04 09:14 -0700
Re: Do you feel the pass of time? Really? Think again. Maciej Wozniak <maluwozniak@gmail.com> - 2022-06-04 09:29 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-04 10:12 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-06-04 11:32 -0700
Re: Do you feel the pass of time? Really? Think again. Paparios <mrios@ing.puc.cl> - 2022-06-04 12:32 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-06-04 14:33 -0700
Re: Do you feel the pass of time? Really? Think again. Paparios <mrios@ing.puc.cl> - 2022-06-04 15:49 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-06-04 17:18 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-04 09:18 -0700
Re: Do you feel the pass of time? Really? Think again. RichD <r_delaney2001@yahoo.com> - 2022-06-04 12:25 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-04 13:10 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-04 14:00 -0700
Re: Do you feel the pass of time? Really? Think again. RichD <r_delaney2001@yahoo.com> - 2022-06-03 12:08 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-03 13:06 -0700
Re: Do you feel the pass of time? Really? Think again. RichD <r_delaney2001@yahoo.com> - 2022-06-01 14:18 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-02 07:20 -0700
Re: Do you feel the pass of time? Really? Think again. Tom Roberts <tjroberts137@sbcglobal.net> - 2022-06-02 14:55 -0500
Re: Do you feel the pass of time? Really? Think again. Ken Seto <setoken47@gmail.com> - 2022-06-02 21:19 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-03 07:49 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-03 08:08 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-06-03 10:38 -0700
Re: Do you feel the pass of time? Really? Think again. Tom Roberts <tjroberts137@sbcglobal.net> - 2022-06-03 10:51 -0500
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-03 09:59 -0700
Re: Do you feel the pass of time? Really? Think again. RichD <r_delaney2001@yahoo.com> - 2022-06-03 11:59 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-03 12:55 -0700
Re: Do you feel the pass of time? Really? Think again. RichD <r_delaney2001@yahoo.com> - 2022-06-04 12:33 -0700
Re: Do you feel the pass of time? Really? Think again. Paparios <mrios@ing.puc.cl> - 2022-06-03 13:01 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-03 13:47 -0700
Re: Do you feel the pass of time? Really? Think again. Paparios <mrios@ing.puc.cl> - 2022-06-03 14:27 -0700
Re: Do you feel the pass of time? Really? Think again. Maciej Wozniak <maluwozniak@gmail.com> - 2022-06-03 23:17 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-04 07:26 -0700
Re: Do you feel the pass of time? Really? Think again. Paparios <mrios@ing.puc.cl> - 2022-06-04 08:50 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-04 10:01 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-06-04 11:17 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-04 12:20 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-04 12:42 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-06-04 14:00 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-04 14:19 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-04 14:37 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-05 07:27 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-05 08:46 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-05 09:04 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-05 09:39 -0700
Re: Do you feel the pass of time? Really? Think again. Dirk Van de moortel <dirkvandemoortel@notmail.com> - 2022-06-05 19:52 +0200
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-05 11:30 -0700
Re: Do you feel the pass of time? Really? Think again. Dirk Van de moortel <dirkvandemoortel@notmail.com> - 2022-06-05 20:47 +0200
Re: Do you feel the pass of time? Really? Think again. RichD <r_delaney2001@yahoo.com> - 2022-06-08 13:21 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-08 21:30 -0700
Re: Do you feel the pass of time? Really? Think again. RichD <r_delaney2001@yahoo.com> - 2022-06-09 10:57 -0700
Re: Do you feel the pass of time? Really? Think again. Al Coe <coeal5136@gmail.com> - 2022-06-09 12:07 -0700
Re: Do you feel the pass of time? Really? Think again. nospam@de-ster.demon.nl (J. J. Lodder) - 2022-06-09 14:36 +0200
Re: Do you feel the pass of time? Really? Think again. Maciej Wozniak <maluwozniak@gmail.com> - 2022-06-09 05:44 -0700
Re: Do you feel the pass of time? Really? Think again. RichD <r_delaney2001@yahoo.com> - 2022-06-09 10:38 -0700
Re: Do you feel the pass of time? Really? Think again. nospam@de-ster.demon.nl (J. J. Lodder) - 2022-06-09 22:36 +0200
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-06-04 15:12 -0700
Re: Do you feel the pass of time? Really? Think again. whodat <whodaat@void.nowgre.com> - 2022-06-04 19:25 -0500
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-06-04 17:40 -0700
Re: Do you feel the pass of time? Really? Think again. whodat <whodaat@void.nowgre.com> - 2022-06-04 21:00 -0500
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-06-04 21:13 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-05 07:41 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-06-05 13:14 -0700
Re: Do you feel the pass of time? Really? Think again. Paul Alsing <pnalsing@gmail.com> - 2022-06-04 12:48 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-06-05 15:49 -0700
Re: Do you feel the pass of time? Really? Think again. Paul Alsing <pnalsing@gmail.com> - 2022-06-05 20:53 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-06-05 23:07 -0700
Re: Do you feel the pass of time? Really? Think again. Paul Alsing <pnalsing@gmail.com> - 2022-06-06 13:55 -0700
Re: Do you feel the pass of time? Really? Think again. "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2022-06-06 16:53 -0700
Ed Lake's confusions (was: Do you feel the pass of time? Really? Think again.) Tom Roberts <tjroberts137@sbcglobal.net> - 2022-06-04 14:01 -0500
Re: Ed Lake's confusions (was: Do you feel the pass of time? Really? Think again.) Ed Lake <detect@outlook.com> - 2022-06-04 12:58 -0700
Re: Ed Lake's confusions (was: Do you feel the pass of time? Really? Think again.) "Kevin Aylward" <kevinRemoveandReplaceATkevinaylward.co.uk> - 2022-07-13 16:57 +0100
Re: Ed Lake's confusions (was: Do you feel the pass of time? Really? Think again.) Tom Roberts <tjroberts137@sbcglobal.net> - 2022-07-14 08:20 -0500
Re: Ed Lake's confusions (was: Do you feel the pass of time? Really? Think again.) Tom Roberts <tjroberts137@sbcglobal.net> - 2022-07-14 21:19 -0500
Re: Ed Lake's confusions (was: Do you feel the pass of time? Really? Think again.) RichD <r_delaney2001@yahoo.com> - 2022-07-16 15:49 -0700
Re: Do you feel the pass of time? Really? Think again. Volney <volney@invalid.invalid> - 2022-06-04 18:36 -0400
Re: Do you feel the pass of time? Really? Think again. Maciej Wozniak <maluwozniak@gmail.com> - 2022-06-04 22:32 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-06-04 22:42 -0700
Re: Do you feel the pass of time? Really? Think again. Tom Roberts <tjroberts137@sbcglobal.net> - 2022-06-05 09:47 -0500
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-05 08:19 -0700
Re: Do you feel the pass of time? Really? Think again. Maciej Wozniak <maluwozniak@gmail.com> - 2022-06-05 09:32 -0700
Re: Do you feel the pass of time? Really? Think again. nospam@de-ster.demon.nl (J. J. Lodder) - 2022-06-05 21:41 +0200
Re: Do you feel the pass of time? Really? Think again. Maciej Wozniak <maluwozniak@gmail.com> - 2022-06-05 13:15 -0700
Re: Do you feel the pass of time? Really? Think again. RichD <r_delaney2001@yahoo.com> - 2022-06-03 12:32 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-06-03 13:24 -0700
Re: Do you feel the pass of time? Really? Think again. whodat <whodaat@void.nowgre.com> - 2022-05-31 21:35 -0500
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-28 14:32 -0700
Re: Do you feel the pass of time? Really? Think again. Stan Fultoni <fultonistan@gmail.com> - 2022-05-28 14:53 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-28 14:58 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-29 08:32 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-29 09:16 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-29 12:03 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-29 12:46 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-29 13:14 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-29 23:05 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-29 23:42 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-30 11:24 -0700
Re: Do you feel the pass of time? Really? Think again. Tom Roberts <tjroberts137@sbcglobal.net> - 2022-05-28 17:53 -0500
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-29 09:19 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-28 23:53 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-29 12:01 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-30 11:44 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-30 11:52 -0700
Re: Do you feel the pass of time? Really? Think again. RichD <r_delaney2001@yahoo.com> - 2022-05-28 17:29 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-28 18:11 -0700
Re: Do you feel the pass of time? Really? Think again. "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2022-05-28 20:18 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-28 20:31 -0700
Re: Do you feel the pass of time? Really? Think again. Ed Lake <detect@outlook.com> - 2022-05-29 09:33 -0700
Re: Do you feel the pass of time? Really? Think again. rotchm <rotchm@gmail.com> - 2022-05-27 07:39 -0700
Re: Do you feel the pass of time? Really? Think again. Maciej Wozniak <maluwozniak@gmail.com> - 2022-05-27 08:39 -0700
Re: Do you feel the pass of time? Really? Think again. rotchm <rotchm@gmail.com> - 2022-05-27 09:23 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-27 09:14 -0700
Re: Do you feel the pass of time? Really? Think again. rotchm <rotchm@gmail.com> - 2022-05-27 09:33 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-27 09:57 -0700
Re: Do you feel the pass of time? Really? Think again. rotchm <rotchm@gmail.com> - 2022-05-27 10:19 -0700
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-27 10:35 -0700
Re: Do you feel the pass of time? Really? Think again. rotchm <rotchm@gmail.com> - 2022-05-27 11:10 -0700
Re: Do you feel the pass of time? Really? Think again. "Paul B. Andersen" <paul.b.andersen@paulba.no> - 2022-05-27 21:49 +0200
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-27 17:16 -0700
Re: Do you feel the pass of time? Really? Think again. whodat <whodaat@void.nowgre.com> - 2022-05-27 12:38 -0500
Re: Do you feel the pass of time? Really? Think again. Richard Hertz <hertz778@gmail.com> - 2022-05-29 11:02 -0700
Re: Do you feel the pass of time? Really? Think again. The Starmaker <starmaker@ix.netcom.com> - 2022-05-29 11:37 -0700
Re: Do you feel the pass of time? Really? Think again. Ken Seto <setoken47@gmail.com> - 2022-06-01 07:51 -0700
Absolute time Richard Hachel <r.hachel@tiscali.fr> - 2022-06-01 15:43 +0000
Re: Absolute time Ken Seto <setoken47@gmail.com> - 2022-06-02 07:56 -0700
Re: Absolute time whodat <whodaat@void.nowgre.com> - 2022-06-02 12:05 -0500
Re: Absolute time Ken Seto <setoken47@gmail.com> - 2022-06-02 20:58 -0700
csiph-web