Re: The Twin Paradox explained from the moving twin ?

(Sigh)

A traveler is traveling between two stars measured at each end to be ten
light years apart. Any observer on an Earth type planet at star A will
observe star B to be zero minus ten years relative to his own atomic clock
time, thus ten light years distant from him. Any observer on an Earth type
planet at star B will observe star A to be zero minus ten years relative to
his own atomic clock time, thus ten light years distant from him.

The traveler stands beside the observer on the planet at star A and
observes with him star B. They both observe star B to be ten light years
away or zero minus ten years in time relative to star A. The traveler boards
his space supership and takes off for star B.

It takes the traveler two years to get one light year from star A. Star A,
and ipso facto its planet A and observer A, are now observed by the traveler
to be zero minus one year behind in time relative to himself and his own
super accurate ship's clock, or he is not one light year in space-time away
from star A and nine light years away in space-time from star B (the
traveler now being zero minus nine years in time relative to star B as
opposed to his starting distance in time of zero minus ten years relative to
star B). Both star A and star B are now observed by him to be behind him in
time, negative in time relative to himself and his ship's clock, meaning
both of them are now respectively one and nine light years distant from him
in space-time. But he can tell by the reasonably accurate distances he is
observing in space-time, he has GAINED AN ENTIRE YEAR IN TIME relative to
star B, while at the same time he has LOST AN ENTIRE YEAR IN TIME relative
to star A.

The traveler is now ten years into his voyage from star A to star B, per
his own super accurate ship's clock time reading, and he observes himself to
now be about five light years from star A and five light years from star B,
confirming his ship's clock in its reading of time. By this method he may
estimate his average velocity so far to be about .5c. External velocity that
is. Internally, everytime he measures the two way speed of light by
instrumentation he just happens to have aboard, the two way speed of light
keeps on consistently measuring out at 300,000 kps. He also realizes that he
could not come even close to accurately estimating his position between star
A and star B if the speed of light in any vacuum of space did not coincide
with a constancy of 'c'. So regardless of his estimate of his own average
velocity to be a sustaining average of .5c, the Universe keeps informing him
by his measurements of space-time distances within it, he is in a vacuum
where the speed of light external to his ship is always a constant of 'c'.

Do we have a contradiction in place here? No. Not at all. At the speed of
light, according to Einstein, time stops in its tracks, goes to zero -- or
timelessness. Here in this scenario the traveler isn't manipulating the
speed of light, he is manipulating time. Space without time is also zero in
time: timeless. Remember above, "zero minus ten years," "zero minus one year
/ zero minus nine years," and the half way point where I suspended the
traveler for the time being, "zero minus five years / zero minus five
years." The traveler isn't dealing in the present, he is the "present." The
traveler is dealing in "past-future / future-past."

Eighteen years into his voyage per his super accurate ship's clock time,
the traveler observes himself to now be one light year away from his
destination of star B and nine light years away from his starting point of
star A. He has GAINED NINE ENTIRE YEARS IN TIME relative to star B, while at
the same time he has LOST NINE ENTIRE YEARS IN TIME relative to star A. His
relativity to star B is now zero minus one year in time. His relativity to
star A is now zero minus nine years in time. He estimates by his distances
he measures that he has kept to an average relative velocity of .5c.

Twenty years after starting out from star A, he arrives at his destination
of star B. He stands beside observer B on planet B at star B observing star
A. A star A he observes -- had better observe -- to now be ten light years
away from him in space-time, or zero minus ten years in time relative to
star B. When he stood beside observer A on planet A at star A, it was star B
that was ten light years away, or zero minus ten years in time relative to
star A. he has a twin brother on planet A. Since star A is now zero minus
ten years in time relative to him standing beside observer B on planet B, at
star B, so is his twin brother on planet A to be observed by him to be zero
minus ten years in time relative to himself, or now ten years younger than
he is.

But, his brother on planet A, star A, at that exact moment in time, does
not observe his traveling twin brother to even have arrived yet at star B.
He has to observe, by observing star B to be ten light years in space-time
from him, or zero minus ten years in time relative to himself, to only be
ten years along into his voyage in this the twin on planet A's twentieth
year since seeing his brother off on his voyage. Light that started out from
star B at the exact moment in time the traveling twin arrives at planet B
won't observationally inform the twin brother on planet A of his brother's
arrival at star B for another ten years. When the twin brother on planet A
does observe his brother to have arrived in the vicinity of star B, per that
light that started out from star B in the moment of the traveling twin's
arrival, it will then have been thirty years since his brother's departure.
At ten light years distance in space-time, or zero minus ten years in
relative time, he will observe his twin brother to have aged only twenty
years in time while he himself has aged thirty years in the same time.
Except for perception, there is no way he can tell that his brother is
actually the same age as he is. That light at the speed of light across a
ten light year gap in space-time between star B and star A offsets time --
and observability -- between the two stars by a factor of ten years.

If the traveling twin returns to star A, taking an identical twenty years
to do it in per his own super accurate ship's clock time, the observing twin
on planet A would observe him to not only close up to him in space-time but
also to close up to him in time -- to speed up in time relative to
himself -- from a factor of zero minus ten years to zero (zero equalling the
twin brother's age who never left planet A). Upon arrival home of the
traveling twin, he will have closed up in time, speeded up in time, just
enough to catch up to his twin brother in chronological age.

There will be a basis for argument between the brothers concerning what
velocity the voyage home was made at. The traveling twin will have his
average velocity for his voyage to be .5c. The observing brother who never
left planet A will have the average velocity for the traveling twin to have
been the speed of light, or 'c'. The observer at star B -- after ten more
years of observation passes -- will have the average velocity for the
traveler from star B to star A, or point B to point A, to have been .33c,
exactly the same as the twin brother and planet A observer observed for the
traveling twin's outbound voyage to star B. Inbound, the observer on planet
B observed an average velocity for the traveler of 'c', exactly the same as
planet A's observers observed for the traveler's travel from star B to
planet A, star A. Inbound, the observers at the destinations do not observe
a thirty year trip for the traveler, nor a twenty year trip, but a ten year
trip. Outbound, the observers at the points of origin for the trips do not
observe a ten or twenty year time of travel for the voyage, but a thirty
year total time of travel for the voyage.

Observers observing oncoming inbound, observes a total average velocity
for it of 1c (for a time observed to have been taken to cross ten light
years distance, ten years). Observers observing traveler traveling away
outbound, observe a total average velocity for it of .33c (for a time
observed to have been taken to cross ten light years distance, thirty
years). Traveler's own reckoning for himself, a total average velocity of
..5c (for a time observed to have been taken to cross ten light years
distance, twenty years).

Travelers have it as a constant for their own frame, space = foreground =
present = 0. The hemisphere to their fore, time = past-future = (-|+). The
hemisphere to their rear, time = future-past = (+|-).

Observers toward which a traveler is oncoming have it as a constant for
their own frame, space = foreground = persent = 0. Relativity between them
and travelers oncoming toward them, time = past-future = (-|+) = from
background Universe (1) into foreground universe (0).

Observers from which travelers travel away from have it for their own
frame, space = foreground = present = 0. Relativity between them and
travelers traveling away from them, time = future-past = (+|-) = from
foreground universe (0) into background Universe (1).

Background Universe = Hawking's "Grand Central Station" = Einstein's
"mind's eye trip" PLACE of his arrival = Unity = 1.

Relatively speaking, infinitesimal, as in an infinitesimal point, is
indistinguishable from '0'. Relatively speaking, infinite, as in an infinite
Universe, is indistinguishable from '1'. Relative result, "finite but
unbounded." "Finite but without limits." Relatively speaking, travelers tend
to contract in space-time toward the vaster and ever vaster expanse of
background Universe. Relatively speaking, travelers tend to expand,
accelerating in expanding, in space-time when oncoming toward any foreground
universe out of that vast expanse of background Universe that contracts
toward any foreground point observer's frame.

The traveler will seemingly tend to contract the local universe around him
in upon himself and his conveyance as he speeds up through it, the
appearance to him being one of his seemingly tending to expand in space-time
versus that seeming contraction of local foreground universe around him
toward him. The sustaining constancy of the speed of light in a vacuum, 'c',
translated, converted, to an equal but totally opposed constant of utter
stillness allows -- even forces -- seeming warping of space-time at will for
any and all travelers in motion in space-time. This warping of space-time is
not velocity per se, but an equivalent of velocity that will wreak havoc
with regard to observers and intrinsic reality. Havoc such as I pointed out
farther back above.

The constant of the speed of light in a vacuum, 'c', is a marvelous
ingenious piece of work -- a 'work of art', that is -- of the Universe. Turn
it one-eighty around and make it the constant of utter stillness, a still
picture, which is a known and totally misconstrued perceived dimension of it
anyway, and boy can you go to town on space, time and space-time regarding
travelers. Alice in Wonderland stuff. Through The Looking Glass stuff. The
stuff of quanta dynamics and hyper-dimensionality. The only thing about
realizing the inherent duality of this constant (c) is to realize how you
have to work all sides of the track of that duality all at once in every
mental picture you draw up (every scenario you will work up). You cannot
isolate out the quality of duality from an intrinsic duality. It's like
trying to work at all times regarding all situations with just one finger
rather than all five working in well coordinated tandem harness.

GLB


.

Relevant Pages

  • Re: SAA: Journey through the Constellations
    ... While I didn't seem to observe any DSO's in that constellation, ... I did get a look at Zeta Centauri at around -47-o declination. ... star I had noted in the _Millennium Star Atlas_ as Bidelman's Helium ... This is located around 16h54m at -42-o, and is a bright open cluster about 15' across which comes through well even in bright ...
    (sci.astro.amateur)
  • Re: A twin contraction paradox
    ... minus ten years in space-time to the space-time of star A, ... that observers can go by, even twins, is what they observe. ... The just arrived traveler would be observed to be ten years younger ...
    (sci.physics.relativity)
  • Re: Opus Observes: If I Havent Seen It, Its New to Me
    ... the first time I'd ever tried to observe the Whirlpool this early in the ... After that, I didn't expect much from Saturn, given the seeing, and so I ... overall profile of the rings. ... last target of the night: a double star just over ...
    (sci.astro.amateur)
  • Re: The Twin Paradox explained from the moving twin ?
    ... | A traveler is traveling between two stars measured at each end to be ten ... Any observer on an Earth type planet at star A will ... | observe star B to be zero minus ten years relative to his own atomic clock ...
    (sci.physics.relativity)
  • Re: twin paradox in a void?
    ... Sol is ten light years from Star X. ... Planet X both recognize a stardate in common to both, ... No observer from either can observe the ... Twin brothers at Sol part company, one staying at home while the other ...
    (sci.physics)
Loading