🚀 go-pugleaf

On May 12, 4:15 pm, Uncle Al <Uncle...@hate.spam.net> wrote:
> Pentcho Valev wrote:
>
> >http://www.people.fas.harvard.edu/~djmorin/book.html
> > Introduction to Classical Mechanics
> > David Morin
> > Cambridge University Press
> > Chapter 11, p. 14: "Twin A stays on the earth, while twin B flies
> > quickly to a distant star and back.
>
> [snip crap]
>
> idiot
>
> http://www.hawaii.edu/suremath/SRtwinParadox.htmlhttp://sheol.org/throopw/sr-twin-01.html
> <http://physics.syr.edu/courses/modules/LIGHTCONE/twins.html>
>  Twin Paradox
> idiot
>
> Perhaps you are too stooopid to click on a link.  Uncle Al will
> exercise the compassion to ram it up your butt,
>
> [In the Newtonian approximation to GR, the line element for "Newtonian
> coordinates" is to excellent approximation:
>
>    ds^2 = -(1 - 2\phi) dt^2 + dx^2 + dy^2 + dz^2
>    where \phi is the Newtonian gravitational potential, c=1
>
> The only deviation from Minkowski spacetime is in the time coordinate
> - using these coordinates the 3-space corresponding to a given value
> of t is Euclidean flat.]
>
> Twin Paradox:  One twin travels relativistically, one twin stays
> home.  They reunite.  The traveling twin aged much less.  The twin who
> travels through more space accumulates less time; also true for an
> orbit.  Interval sqrt(t^2 - x^2 - y^2 - z^2) between the two events,
> expressed in inertial coordinate system (t,x,y,z), is conserved.
> Given the invariant interval, the larger sqrt(x^2 + y^2 + z^2)is the
> smaller sqrt(t^2) must be.
>
> The ratio by which the two aged when they are again local is identical
> in all reference frames: ratio = sqrt(t^2 - x^2 - y^2 - z^2)/t (units
> of c=1).
>
> Acceleration is irrelevant, demonstrated by Triplets.
>
> Three identical clocks as kits and not constructed until the
> experiment is running.  Each clock has a short toggle switch.
> Individual spaceships carry a kit each.  Set up the experiment.
>
> CLOCK 1:  Our clock sits stationary in our inertial reference frame
> with its toggle sticking out.  Touch the toggle and "off" state goes
> "on" or "on" state goes "off."  Build it from parts just before
> needed, in the "off" state, zeroed.
>
> CLOCK 2:  In a spaceship traveling at 0.999c relative to our inertial
> frame and positioned far to our left.  Clock 2 was built after all
> acceleration ceased during setup, set to zero, "off" state.  It skims
> past Clock 1 (our clock) in vacuum free fall, toggles touch, both
> Clocks 1 and 2 are "on" and locally synchronized by touching.  Elapsed
> time accumulates in each clock.
>
> CLOCK 3:  In a spaceship traveling at 0.999c relative to our inertial
> frame of reference, but 180 degrees counter in direction to Clock 2,
> far far to our right.  It was built after all acceleration ceased
> during setup, set to zero, "off" state.
>
> An arbitrary time after Clocks 1 and 2 synchronize and turn "on" by
> touching, Clocks 2 and 3 brush past each other, both in vacuum free
> fall, touching toggles.  Clock 2 is now "off," Clock 3 is now "on."
> Write down the elapsed time in "off" Clock 2.  The spaceship with
> Clock 3 returns over the path taken by the spaceship with Clock 2.
>
> CLOCK 1:  Our clock.  It sits stationary in our inertial reference
> frame with a little toggle sticking out.  Clock 3 vacuum free falls
> past, toggles touch.  Clocks 3 and 1 are off.  Write down elapsed
> times.  No clock accelerated while "on" or while existing.
>
> BOTTOM LINE:  Send results by radio.  Numbers on paper don't change.
> Throughout the entire run three clocks were passive observers in
> vacuum free fall with zero acceleration.
>
> Compare elapsed times.  Elapsed times #2+#3 does not equal #1, the
> local stationary reference frame summation.  The sum of #2+#3 elapsed
> time is about 4.5% that than of #1's accumulated elapsed time.  The
> Twin (Triplets) Paradox obtains without any clock having been
> accelerated.
>
> --
> Uncle Alhttp://www.mazepath.com/uncleal/
>  (Toxic URL! Unsafe for children and most mammals)http://www.mazepath.com/uncleal/qz4.htm

thanks, if i understand it right, space must have viscosity,
a viscosity constant, function of speed, with respect to time