HOW EINSTEINIANA DESTROYS HUMAN RATIONALITY

On May 12, 4:15 pm, Uncle Al 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/SRtwi...r-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