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Twin Paradox General Relativity Solution



 
 
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Old December 7th 11, 06:34 AM posted to sci.physics.relativity,sci.physics,sci.math,sci.astro
Koobee Wublee
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Posts: 815
Default Twin Paradox General Relativity Solution

On Dec 6, 8:45 pm, waitedavidmsphysics wrote:

I've fixed a typo missing prime and reuploaded. The new URL is
http://www.youtube.com/watch?v=8stc9OtTUOA
for anyone, unlike the insane responders I've gotten in this thread,
interested in the real GENERAL RELATIVISTIC physics applied to this
spacetime, a frame transformation away from doing special relativity.


The first take was garbage. Guess what? The second take is as well.
shrug

Note to the nutters, this is basic equivalence. Einstein was right.
You're just wrong.


Believe Him. These so-called nutters by you are not here to convince
that you have been wrong but to tell you that you are wrong again.
shrug

Using acceleration to break the symmetry has long since been abandoned
by the self-styled physicists. It sounds like someone is not exposed
to the ridiculous cycle of make-belief resolution to the twins’
paradox. You can read all about it here.

Each resolution to the twins’ paradox comes in four stages. How long
each stage lasts depends on how tasty this resolution with its
hypnotic appetite is. The stages a

**** Desperation

It must be very heart breaking for the Einstein Dingleberries to watch
their beloved SR getting **** canned. shrug

**** Hope

This is more like false hope because the Einstein Dingleberries just
cannot walk away from that pile of crap called SR. shrug

**** Zealot

Every day wishing for this false hope is going to trig the mind to
believe in a false resolution. It does not matter how ****ed up or
stupid the resolution is. As soon as the Einstein Dingleberries sink
their teeth into this resolution, it is impossible to separate them
from SR. Waiting for rapture is very much the only mental activity
left. shrug

**** Awakening

After a while, the scientist in their id will be finally knocking on
their consciousness. They will start to realize just how ****ing
stupid they were with such zeal in their faith. shrug

**** Desperation

And the cycle begins. So, for the recap, we have gone through at
least three such cycles so far. shrug

**** Acceleration

This crap was first proposed by Born by equating any acceleration with
gravitational acceleration, and thus it inherits the nature of
gravitational time dilation. To this day, there is not a piece of
mathematical analysis that supports this resolution, and no single
experiment has shown acceleration manifests time dilation. shrug

**** Diagram

Some idiots thought the twins’ paradox can be resolved by drawing a
few lines in their so-called spacetime diagram. This resolution seems
to have the least amount of survival time. There are almost no idiots
following this one anymore. shrug

**** MathemaGics

Given the time transform of the Lorentz transform, the twins’ paradox
actually involve two different set of the Lorentz transforms. The
first set describes observers 1 and 2 observing 3.

** dt1 = (dt2 + [v12] * d[s23] / c^2) / sqrt(1 – v12^2 / c^2)

And

** dt2 = (dt1 + [v21] * d[s13] / c^2) / sqrt(1 – v21^2 / c^2)

Where

** dt1 = time flow rate of 1
** [v12] = velocity of 2 as observed by 1
** [s13] = displacement vector of 3 as observed by 1
** All others self-explanatory

The other set of the Lorentz transform is where 1 and 2 are observing
4:

** dt1 = (dt2 + [v12] * d[s24] / c^2) / sqrt(1 – v12^2 / c^2)

And

** dt2 = (dt1 + [v21] * d[s14] / c^2) / sqrt(1 – v21^2 / c^2)

Since there only two observers and each observer behaving as the
observed, these two sets of the Lorentz transform above must be
reduced with 3 and 4 merged appropriately into 1 and 2. So, taking
one equation from each transform, we have

** dt1 = (dt2 + [v12] * d[s23] / c^2) / sqrt(1 – v12^2 / c^2)

And

** dt2 = (dt1 + [v21] * d[s14] / c^2) / sqrt(1 – v21^2 / c^2)

Then, it is easy to merge 3 into 2 and 4 into 1 from the two equations
above.

** dt1 = (dt2 + [v12] * d[s22] / c^2) / sqrt(1 – v12^2 / c^2)

And

** dt2 = (dt1 + [v21] * d[s11] / c^2) / sqrt(1 – v21^2 / c^2)

Or

** dt1 = dt2 / sqrt(1 – v12^2 / c^2)

And

** dt2 = dt1 / sqrt(1 – v21^2 / c^2)

Where

** d[s11] = d[s22] = 0

Since the two equations above cannot possibly co-exist, the twins’
paradox becomes very real. However, the self-styled physicists
possess no analytical skills. In this matheMagic show, they have
demonstrated a lack of understanding in the Lorentz transform (as well
as the Galilean transform). To reduce the Lorentz transform from two
observers (1 and 2) and one observed (3 or 4) into just two observers
(1 and 2) where each observer is observing the other, they decide to
favor either 1 or 2 by using the same transform. Following through
the mathemaGics, the Lorentz transform becomes:

** dt1 = (dt2 + [v12] * d[s22] / c^2) / sqrt(1 – v12^2 / c^2)

And

** dt2 = (dt1 + [v21] * d[s12] / c^2) / sqrt(1 – v21^2 / c^2)

Or

** dt1 = dt2 / sqrt(1 – v12^2 / c^2)

And

** dt2 = dt1 sqrt(1 – v21^2 / c^2)

Where

** [v12] = - [v21]

And thus avoiding the paradox through mathemaGics.

**** Pathlength

The latest crap to the resolution of the twins’ paradox calls out for
the mythical substance called proper time. Although the scripture of
SR dealing with this proper time went back since the time of Einstein
the nitwit, the plagiarist, and the liar, the myth of aging in proper
time nevertheless is a modern hope of resolving the twins’ paradox.
Some self-styled physicists are beginning to realize how ****ing
stupid they have been by accepting this nonsense. shrug

**** Conclusion

So, realizing all resolutions so far are just hopeless, the self-
styled physicists either ignore the twins’ paradox or go back to one
of these resolutions. Jumping from resolution to another seems not to
be getting old for these idiots. Fvcking sad, no? shrug

The whole episode of SR and GR can be summarized as follows.

** FAITH IS THEORY
** LYING IS TEACHING
** NITWIT IS GENIUS
** OCCULT IS SCIENCE
** PARADOX IS KOSHER
** FUDGING IS DERIVATION
** BULL**** IS TRUTH
** BELIEVING IS LEARNING
** MYSTICISM IS WISDOM
** IGNORANCE IS KNOWLEDGE
** CONJECTURE IS REALITY
** PLAGIARISM IS CREATIVITY
** MATHEMAGICS IS MATHEMATICS

shrug
 




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