A CLUE TO THE TWIN PARADOX

http://groups.google.com/group/sci.p...de128ca7e50362
Tom Roberts: "In the usual scenario, one has multiple assistants all
at rest in the measurement frame, each with a clock synchronized in
the measurement frame with all the others; assistants are pre-
positioned along the path of the moving clock. When the moving clock
passes each assistant, he records the value of his clock and the value
of the moving clock. The multiple recordings are then combined into a
single measurement of the rate of the moving clock."

Those multiple (at least two) assitants making "multiple recordings"
are an INDISPENSABLE tool in a system that is to measure time
dilation. Einsteiniana's thought experiments have always endowed the
sedentary twin's system with, and deprived the travelling twin's
system of, such a tool. Just place two clocks e.g. et the front and
back ends of the travelling twin's rocket and then any thought
experiment where these two clocks play an essential role would show
the greater youthfulness of the SEDENTARY twin (of course Einstein's
1905 false constant-speed-of-light postulate should be assumed to be
true).

Pentcho Valev

By increasing the perimeter of a rotating disc while keeping the
linear speed of the periphery constant, one converts clocks fixed on
the periphery into VIRTUALLY INERTIAL clocks (the "gravitational
field" they experience is reduced to zero). Then, in accordance with
Einstein's 1905 constant-speed-of-light postulate, a clock at rest
situated outside the disc, near the periphery, will be seen running
SLOWER than the virtually inertial clocks passing it. (If a single
inertial clock covers the distance between two other inertial clocks
immobile relative to one another, then the single clock runs slower
than the two other clocks.)

Another prediction based on Einstein's 1905 constant-speed-of-light
postulate is that the clock at rest will be seen running FASTER than
the virtually inertial clocks passing it ( http://www2.bartleby.com/173/23.html
). Clearly we have REDUCTIO AD ABSURDUM showing that Einstein's 1905
constant-speed-of-light postulate is false.

Pentcho Valev

In Einsteiniana's schizophrenic world absurdities develop into
absolute idiocies. So compared with Seth Lloyd's "closed timelike
curves" the humble "travel to the future" involved in the twin paradox
sounds almost reasonable:

http://www.physorg.com/news/2011-03-...r-paradox.html
"Among the many intriguing concepts in Einsteins relativity theories
is the idea of closed timelike curves (CTCs), which are paths in
spacetime that return to their starting points. As such, CTCs offer
the possibility of traveling back in time. But, as many science
fiction films have addressed, time travel is full of potential
paradoxes. Perhaps the most notable of these is the grandfather
paradox, in which a time traveler goes back in time and kills her
grandfather, preventing her own birth. In a new study, a team of
researchers has proposed a new theory of CTCs that can resolve the
grandfather paradox, and they also perform an experiment showing how
such a scheme works. The researchers, led by Seth Lloyd from MIT,
along with scientists from the Scuola Normale Superiore in Pisa,
Italy; the University of Pavia in Pavia, Italy; the Tokyo Institute of
Technology; and the University of Toronto, have published their study
in a recent issue of Physical Review Letters. The concepts in the
study are similar to an earlier study by some of the same authors that
was posted at arXiv.org last year. "Einstein's theory of general
relativity supports closed timelike curves," Lloyd told PhysOrg.com.
"For decades researchers have argued over how to treat such objects
quantum mechanically. We believe that our theory is the correct theory
of such objects. Moreover, our theory shows how time travel might be
accomplished even in the absence of general relativistic closed
timelike curves."

Pentcho Valev

Destruction of human rationality in Einsteiniana's schizophrenic
world:

http://www.people.fas.harvard.edu/~djmorin/book.html
Introduction to Classical Mechanics With Problems and Solutions
David Morin, Cambridge University Press
Chapter 11, p. 14: "Example (Twin paradox): Twin A stays on the earth,
while twin B flies quickly to a distant star and back. Show that B is
younger than A when they meet up again. (...) For the entire outward
and return parts of the trip, B does observe A's clock running slow,
but enough strangeness occurs during the turning-around period to make
A end up older. Note, however, that a discussion of acceleration is
not required to quantitatively understand the paradox, as Problem 11.2
shows."

The fact that "a discussion of acceleration is not required to
quantitatively understand the paradox" makes believers sing "Divine
Einstein" and "Yes we all believe in relativity, relativity,
relativity":

http://www.haverford.edu/physics/songs/divine.htm
No-one's as dee-vine as Albert Einstein
Not Maxwell, Curie, or Bohr!
He explained the photo-electric effect,
And launched quantum physics with his intellect!
His fame went glo-bell, he won the Nobel --
He should have been given four!
No-one's as dee-vine as Albert Einstein,
Professor with brains galore!
No-one could outshine Professor Einstein --
Egad, could that guy derive!
He gave us special relativity,
That's always made him a hero to me!
Brownian motion, my true devotion,
He mastered back in aught-five!
No-one's as dee-vine as Albert Einstein,
Professor in overdrive!

http://www.youtube.com/watch?v=5PkLLXhONvQ
We all believe in relativity, relativity, relativity.
Yes we all believe in relativity, 8.033, relativity.
Einstein's postulates imply
That planes are shorter when they fly.
Their clocks are slowed by time dilation
And look warped from aberration.
We all believe in relativity, relativity, relativity.
Yes we all believe in relativity, 8.033, relativity.

http://www.pitt.edu/~jdnorton/teachi...yon/index.html
John Norton: "Now consider the judgments of simultaneity of the
traveling twin, as shown in the spacetime diagram opposite. Since the
traveling twin is moving very rapidly, the traveler's hypersurfaces of
simultaneity are quite tilted. Two hypersurfaces of simultaneity are
shown in the lower part of the diagram for the outward part of the
traveler's journey. These are the hypersurfaces that pass through the
event at which the clock reads 1 day and just before the turn-around
at the traveler's clock time of 2 days. We read from these
hypersurfaces that the traveling twin judges the stay-at-home twin's
clock to be running at half the speed of the travelers. When the
traveler's clock reads 1 day, the stay-at-home twin's reads 1/2 day;
just before the turn around, when the traveler's clock is almost at 2
days, the stay-at-home twin's clock is almost at 1 day. Then, at the
end of the outward leg, the traveler abruptly changes motion,
accelerating sharply to adopt a new inertial motion directed back to
earth. What comes now is the key part of the analysis. The effect of
the change of motion is to alter completely the traveler's judgment of
simultaneity. The traveler's hypersurfaces of simultaneity now flip up
dramatically. Moments after the turn-around, when the travelers clock
reads just after 2 days, the traveler will judge the stay-at-home
twin's clock to read just after 7 days. That is, the traveler will
judge the stay-at-home twin's clock to have jumped suddenly from
reading 1 day to reading 7 days. This huge jump puts the stay-at-home
twin's clock so far ahead of the traveler's that it is now possible
for the stay-at-home twin's clock to be ahead of the travelers when
they reunite."

The ecstasy gets uncontrollable - believers tumble to the floor, start
tearing their clothes and go into convulsions.

Pentcho Valev

http://en.wikisource.org/wiki/Dialog...f_rela tivity
Dialog about Objections against the Theory of Relativity (1918), by
Albert Einstein
"...according to the special theory of relativity the coordinate
systems K and K' are by no means equivalent systems. Indeed this
theory asserts only the equivalence of all Galilean (unaccelerated)
coordinate systems, that is, coordinate systems relative to which
sufficiently isolated, material points move in straight lines and
uniformly. K is such a coordinate system, but not the system K', that
is accelerated from time to time. Therefore, from the result that
after the motion to and fro the clock U2 is running behind U1, no
contradiction can be constructed against the principles of the theory.
(...) During the partial processes 2 and 4 the clock U1, going at a
velocity v, runs indeed at a slower pace than the resting clock U2.
However, this is more than compensated by a faster pace of U1 during
partial process 3. According to the general theory of relativity, a
clock will go faster the higher the gravitational potential of the
location where it is located, and during partial process 3 U2 happens
to be located at a higher gravitational potential than U1. The
calculation shows that this speeding ahead constitutes exactly twice
as much as the lagging behind during the partial processes 2 and 4.
This consideration completely clears up the paradox that you brought
up."

The arguments of "Relativist" (more precisely, of Albert Einstein in
his 1918 infamous paper) in proving that the travelling twin returns
younger resemble the arguments of "Owner" in proving that the dead
parrot is both alive and beautiful:

http://www.youtube.com/watch?v=4vuW6tQ0218
Owner: Oh yes, the, uh, the Norwegian Blue...What's,uh...What's wrong
with it?
Mr. Praline: I'll tell you what's wrong with it, my lad. 'E's dead,
that's what's wrong with it!
Owner: No, no, 'e's uh,...he's resting.
Mr. Praline: Look, matey, I know a dead parrot when I see one, and I'm
looking at one right now.
Owner: No no he's not dead, he's, he's restin'! Remarkable bird, the
Norwegian Blue, idn'it, ay? Beautiful plumage!
.........................
Mr. Praline: No, I'm sorry! I'm not prepared to pursue my line of
inquiry any longer as I think this is getting too silly!

Note the unavoidable total frustration of anyone pursuing some
rational "line of inquiry" in a schizophrenic environment. This is
perhaps the main reason why Einstein's relativity has been so vital
and so beautiful for so long.

Pentcho Valev

In Cambridge (but not elsewhere) the acceleration suffered by the
travelling twin is unimportant:

http://www.damtp.cam.ac.uk/research/...tivity2010.pdf
Gary W. Gibbons FRS: "In other words, by simply staying at home Jack
has aged relative to Jill. There is no paradox because the lives of
the twins are not strictly symmetrical. This might lead one to suspect
that the accelerations suffered by Jill might be responsible for the
effect. However this is simply not plausible because using identical
accelerating phases of her trip, she could have travelled twice as
far. This would give twice the amount of time gained."

Pentcho Valev