The Real TWINS Paradox - the Simplest Version
- From: Alen <alen1@xxxxxxxxxxxxxxx>
- Date: Wed, 17 Oct 2007 18:37:55 -0700
THE REAL TWINS PARADOX - The Simplest Version
Let it be supposed, in the following scenario, that 'acceleration'
is able to be accomplished in a manner, perhaps on some
electromagnetic basis, that applies an identical accelerating
force to every particle in an observer's reality, including himself,
his vehicle, and all his instruments, thus eliminating any
detectable gravitational effect of acceleration by the accelerated
observer.
Let A and B be two observers who start a long distance apart,
in the same inertial frame, and let them have synchronised clocks.
Let A and B be accelerated towards one another, in accordance
with the above specification, until they reach a mutual relative
velocity of v, at which time the acceleration ceases. Let the
acceleration be applied, independently of the observers own
actions, by a random choice among one of three possible methods:
1) A alone is accelerated towards B
2) B alone is accelerated towards A
3) A and B are both accelerated towards one another.
The result in each case is a relative velocity, v, of A and B towards
one another and, in view of the fact that the acceleration is applied
in a manner not detectable from within the accelerated environment
of either of the observers, neither observer will be able to detect
which of the above three methods of acceleration were used to
establish the relative velocity, v. Furthermore, the time dilation
effects involved can be almost completely determined by the time
spent travelling at the constant relative velocity, if the
acceleration
is rapid, and the acceleration period relatively very short.
Each of the two observers views his own frame as the 'stationary'
frame in respect of observations made by him in the reference
frame of the other observer which, to him, is the 'moving' observer.
In view of this, when they meet, the following will be the points of
view of A and B, whichever of the three methods of acceleration
were chosen:
!) A's viewpoint: B accelerates towards him, and travels for a time
at velocity v, the result being that B's clock acquires a time
dilation
effect such that, when they meet, B appears to be younger than A.
2) B's viewpoint: A accelerates towards him, and travels for a time
at velocity v, the result being that A's clock acquires a time
dilation
effect such that, when they meet, A appears to be younger than B.
This paradox appears to be unanswerable from the orthodox
viewpoint, without some kind of fudging of the POR concept, in
order to create some difference between the two frames in respect
of the effect of the relative velocity on one frame compared
to the other.
Alen
This post is addressed not to those who belong to the physics
orthodoxy, but to those who dissent from it. All dissenters,
merely by being so, contribute to liberating the understanding
of man from a parochial thralldom characterised by a
mathematical trickery (not necessarily intentional), and a
philosophical deficiency. Let it not be left to the orthodoxy to
determine, at their pleasure, how and when the understanding
of man is to be rescued from their errors. All dissenters are
free to attempt the rescue themselves as, indeed, they are
doing already, and need neither be impeded by the censure
of the orthodoxy nor wait on their approval.
.
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